FEM Mesh/ru: Difference between revisions
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<languages/> |
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== Create a FEM Mesh == |
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{{TOCright}} |
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There are different possibilities to create a FEM Mesh in FreeCAD: |
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* The Gui tool [[FEM MeshGmshFromShape|Fem MeshFromShape]] |
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== Create a finite element mesh == |
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* The Gui tool by Python |
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* Python directly means make the FEM Mesh by Hand |
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<div class="mw-translate-fuzzy"> |
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* Import a FEM Mesh |
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== Создать FEM Mesh == |
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Анализ методом конечных элементов выполняется на сетке, состоящей из множества треугольных и четырехугольных конечных элементов, которые разделяют исходное тело. Чем точнее будет сетка, тем точнее будут численные результаты, но и время вычисления будет больше. Баланс между размером сетки, временем вычислений и точностью результатов является важной характеристикой четко определенного анализа методом конечных элементов. |
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</div> |
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<div class="mw-translate-fuzzy"> |
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Существуют различные возможности для создания сетки МКЭ в [[FEM Workbench/ru|верстаке FEM]]: |
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* [[FEM MeshGmshFromShape/ru|Инструмент GMSH]] с использованием графического интерфейса. |
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* [[FEM MeshNetgenFromShape/ru|Инструмент Netgen]] с использованием графического интерфейса. |
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* Импорт сетки из другой программы. В частности, Gmsh и Netgen могут использоваться сами по себе вне FreeCAD с сетками твердых тел вроде файлов Step. |
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* Создание сетки вручную с помощью скриптов [[Python/ru|Python]]. |
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</div> |
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<div class="mw-translate-fuzzy"> |
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Инструменты Gmsh и Netgen поддерживают создание сеток из тела, созданных с помощью [[Part Workbench/ru|верстаков Part]] и [[PartDesign Workbench/ru|PartDesign]], а также простые копии этих тел. В общем, любой верстак, который генерирует твердые объекты, например [[Arch Workbench/ru|верстак Arch]], можно использовать для создания сеток. Обратите внимание, что сетка, используемая для FEA, не то же самое что сетка, созданная или импортированная из [[Mesh Workbench/ru|верстака Mesh]]. |
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</div> |
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[[Image:FEM_Workbench_workflow.svg|600px]] |
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{{Caption|The FEM Workbench calls the external tool Gmsh to obtain a mesh from a solid body created with any workbench in FreeCAD; it can also import a mesh created externally}} |
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[[Image:FEM_Mesh.png|600px]] |
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{{Caption|(1) Solid body created with PartDesign; (2) mesh produced by the Gmsh tool inside the FEM Workbench (all triangles); and (3) mesh produced externally by Gmsh, exported to Abaqus format {{FileName|.inp}}, and then imported into FreeCAD (all quadrangles)}} |
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The [[FEM_MeshGmshFromShape|Gmsh]] and [[FEM_MeshNetgenFromShape|Netgen tools]] are convenience tools to quickly mesh a body, and thus don't expose the full capabilities of these programs; they normally create triangular meshes, which may not be ideal for some types of analysis. If you'd like to have more control of the created mesh (use only quadrilaterals, precise element number and size, variable resolution of the mesh, etc.), you should use these programs externally, produce a mesh file in a supported format ({{FileName|.inp}}, {{FileName|.unv}}, {{FileName|.vtk}}, {{FileName|.z88}}), and import this file into FreeCAD. |
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Previously, Netgen was included with FreeCAD and could be used immediately. Now, both Netgen and Gmsh should be installed before they can be used by the [[FEM Workbench]]. Refer to [[FEM_Install|FEM Install]] for instructions. |
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== Meshing software == |
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Meshing software operates on solid bodies that can be in different formats, like Step and Brep. These programs can be used independently of FreeCAD, and typically have many options to control the meshing algorithms, element size, and boundary conditions. |
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The [[FEM_Workbench|FEM Workbench]] has developed simple communication interfaces to use Gmsh and Netgen directly inside FreeCAD. Other programs don't have an interface, but this could change in the future if there is interest from the community, and if those applications are easy to integrate. The meshing software can be compiled and distributed together with FreeCAD only if its license is compatible with the LGPL2 license; otherwise, the program has to be used as an external binary, like Gmsh (GPL2) is used. |
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=== Interface implemented in FreeCAD === |
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* Gmsh: [http://gmsh.info/ main website], [https://gitlab.onelab.info/gmsh/gmsh code repository] |
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* Netgen: [https://ngsolve.org/ main website], [https://github.com/NGSolve/netgen code repository] |
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=== No interface in FreeCAD === |
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* ENigMA, [https://forum.freecadweb.org/viewtopic.php?f=18&t=33048 forum thread], [https://github.com/bjaraujo/ENigMA code repository] |
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* libMesh, [http://libmesh.github.io/ main website], [https://github.com/libMesh/libmesh code repository], [https://forum.freecadweb.org/viewtopic.php?f=18&t=33621 forum thread]; it's a very active project, and it's C++ only |
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* PythonOCC, [http://www.pythonocc.org/ main website] |
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* SnappyHexMesh, [https://openfoamwiki.net/index.php/SnappyHexMesh main website] |
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* Tetgen, [http://wias-berlin.de/software/tetgen/ main website] |
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== Mesh elements in FreeCAD == |
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Objects created in PartDesign and Part are supported, as well as simple copies of those bodies. There are two meshers available to the user: Netgen and GMSH. Netgen is included in FreeCAD. Refer to [[FEM_Install|FEM Install]] For FEM Mesh generation by GMSH user psicofil has provided a [http://www.freecadweb.org/wiki/index.php?title=Macro_GMSH GMSHMesh Macro]. |
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FreeCAD supports various element types. The following article explains the difference between them, and when should be used: [https://www.comsol.com/blogs/meshing-your-geometry-various-element-types/ Meshing Your Geometry: When to Use the Various Element Types]. |
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== FEM Mesh Elements in FreeCAD == |
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FreeCAD supports various element types. There is an external blog link which explains about the differences and when to use which element type: https://www.comsol.com/blogs/meshing-your-geometry-various-element-types/ |
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{| class="wikitable" style="color: |
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1" |
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|+ |
|+ Import and export of mesh elements |
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|- |
|- |
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! Element !! Element !! FreeCAD API !! FreeCAD |
! Element !! Element !! FreeCAD API !! FreeCAD GUI !! med !! unv !! inp !! frd !! txt !! xml |
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|- |
|- |
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| Med || CalculiX || |
| Med || CalculiX || Python || FEM Mesh || SMESH || IDEAS/FreeCAD || Abaqus/CalculiX || Result Mesh || Z88 || Fenics |
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|- |
|- |
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| Name || Name || |
| Name || Name || create elements || view elements || import/export || import/export || import/export || import || import/export || import/export |
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|- |
|- |
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| seg 2 || B31 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] |
| seg 2 || B31 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] |
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|- |
|- |
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| seg 3 || B32 || |
| seg 3 || B32 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || NI || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| tria 3 || S3 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| tria 3 || S3 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_OK.svg|20px]] |
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|- |
|- |
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| tria 6 || S6 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| tria 6 || S6 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| quad 4 || S4 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| quad 4 || S4 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_OK.svg|20px]] |
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|- |
|- |
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| quad 8 || S8 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| quad 8 || S8 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| tetra 4 || C3D4 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] |
| tetra 4 || C3D4 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] |
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|- |
|- |
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| tetra 10 || C3D10 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| tetra 10 || C3D10 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| |
| hexa 8 || C3D8 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || ([[File:Edit_Cancel.svg|20px]]) the format allows it,<br/> but it's not readable or writable by fenics |
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|- |
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| pyra 13 || - || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || - || - || - || - || - |
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|- |
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| hexa 8 || C3D8 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || (-) [format allows it, but not readable/writable by fenics] |
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|- |
|- |
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| hexa 20 || C3D20 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || |
| hexa 20 || C3D20 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| penta 6 || C3D6 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || ? || |
| penta 6 || C3D6 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || ? || [[File:Edit_Cancel.svg|20px]] |
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|- |
|- |
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| penta 15 || C3D15 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || ? || |
| penta 15 || C3D15 || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || ? || [[File:Edit_Cancel.svg|20px]] |
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|- |
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| pyra 5 || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|- |
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| pyra 13 || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_OK.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] || [[File:Edit_Cancel.svg|20px]] |
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|} |
|} |
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*"ni" means the element type is not implemented in FreeCAD but the format would support it. |
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*"-" means the format specification does not support this element type, thus FreeCAD can not support it. |
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*"?" it is not known if the format supports this element type. |
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* "NI" means the element type is not implemented in FreeCAD but the format would support it. |
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== FEM Element Types == |
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* [[File:Edit_Cancel.svg|20px]] "-" means the format specification does not support this element type, thus FreeCAD cannot support it. |
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==== General ==== |
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* "?" means it is not known if the format supports this element type. |
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More informations about the FEM element types and their data structure inside FreeCAD can be find on [[FEM_Element_Types | FEM Element Types]]. |
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==== Segment element ==== |
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[[Image:segments.gif]] |
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<p> <br /> </p> |
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== FEM element types == |
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[[Image:triangles.gif]] |
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<p> <br /> </p> |
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More information on the elements, and their data structure inside FreeCAD can be found in [[FEM Element Types|FEM Element Types]]. |
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==== Quadratic element ==== |
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[[Image:quadrangles.gif]] |
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<p> <br /> </p> |
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=== Segment element === |
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[[Image:tetraedres.gif]] |
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<p> <br /> </p> |
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[[Image:FEM_mesh_elements_1_segment.svg|600px]] |
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==== Pyramid element ==== |
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[[Image:pyramides.gif]] |
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<p> <br /> </p> |
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=== Triangle element === |
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[[Image:hexaedres.gif]] |
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<p> <br /> </p> |
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[[Image:FEM_mesh_elements_2_triangle.svg|600px]] |
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==== Pentahedron element ==== |
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[[Image:pentaedres.gif]] |
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=== Quadrangle element === |
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<p> <br /> </p> |
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[[Image:FEM_mesh_elements_3_quadrangle.svg|600px]] |
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=== Tetrahedron element === |
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[[Image:FEM_mesh_elements_4_tetrahedron.svg|600px]] |
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=== Hexahedron element === |
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[[Image:FEM_mesh_elements_5_hexahedron.svg|600px]] |
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=== Pentahedron element (prism) === |
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[[Image:FEM_mesh_elements_6_pentahedron.svg|600px]] |
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=== Pyramid element === |
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[[Image:FEM_mesh_elements_7_pyramid.svg|600px]] |
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== Scripting == |
== Scripting == |
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=== Create a FEM Mesh totally py python === |
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=== |
=== Create a FEM mesh completely in Python === |
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{{Emphasis|See also:}} [[FreeCAD_Scripting_Basics|FreeCAD Scripting Basics]]. |
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The Python API allows the user to define a finite element mesh by directly adding individual nodes, and defining edges, faces, and volumes. |
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The mesh itself is of type {{incode|Fem::FemMesh}}, which needs to be attached to a proper document object of type {{incode|Fem::FemMeshObject}}. |
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{{Code|code= |
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App.ActiveDocument.Mesh_object.TypeId = Fem::FemMeshObject |
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. |
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. |
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.FemMesh.TypeId = Fem::FemMesh |
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}} |
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====Creating a mesh with one Tet-10 element==== |
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Create an empty FemMesh, populate it with nodes, create the volume, and finally call {{incode|Fem.show()}} to create the document object with the corresponding mesh. |
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{{Code|code= |
{{Code|code= |
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import FreeCAD, Fem |
import FreeCAD, Fem |
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# create a empty mesh |
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m = Fem.FemMesh() |
m = Fem.FemMesh() |
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#create the nodes |
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m.addNode(0,1,0) |
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m.addNode(0,0,1) |
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m.addNode(1,0,0) |
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m.addNode(0,0,0) |
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m.addNode(0,0.5,0.5) |
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m.addNode(0.5,0.03,.5) |
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m.addNode(0.5,0.5,0.03) |
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m.addNode(0,0.5,0) |
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m.addNode(0.03,0,0.5) |
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m.addNode(0.5,0,0) |
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# add the volume with the created nodes |
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m.addVolume([1,2,3,4,5,6,7,8,9,10]) |
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m.addNode(0, 1, 0) |
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m.addNode(0, 0, 1) |
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m.addNode(1, 0, 0) |
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m.addNode(0, 0, 0) |
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m.addNode(0, 0.5, 0.5) |
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m.addNode(0.5, 0.03, 0.5) |
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m.addNode(0.5, 0.5, 0.03) |
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m.addNode(0, 0.5, 0) |
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m.addNode(0.03, 0, 0.5) |
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m.addNode(0.5, 0, 0) |
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m.addVolume([1,2,3,4,5,6,7,8,9,10]) |
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Fem.show(m) |
Fem.show(m) |
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obj = FreeCAD.ActiveDocument.ActiveObject |
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}} |
}} |
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If you want to have predefined element and node numbering: |
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If you want to have predefined node and element numbering, pass the appropriate ID to the node and volume methods. |
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To create an actual document object, instead of {{incode|Fem.show()}} you can also use the document {{incode|addObject()}} method; then attach the created mesh to this object's {{incode|FemMesh}} attribute. |
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{{Code|code= |
{{Code|code= |
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a = Fem.FemMesh() |
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m.addNode(0.0,1.0,0.0,1) |
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m.addVolume([1,2,3,4,5,6,7,8,9,10],1) |
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a.addNode(0, 1, 0, 1) |
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a.addNode(0, 0, 1, 2) |
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a.addNode(1, 0, 0, 3) |
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a.addNode(0, 0, 0, 4) |
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a.addNode(0, 0.5, 0.5, 5) |
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a.addNode(0.5, 0.03, 0.5, 6) |
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a.addNode(0.5, 0.5, 0.03, 7) |
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a.addNode(0, 0.5, 0, 8) |
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a.addNode(0.03, 0, 0.5, 9) |
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a.addNode(0.5, 0, 0, 10) |
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a.addVolume([1,2,3,4,5,6,7,8,9,10], 1) |
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obj_2 = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject") |
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obj_2.Placement.Base = FreeCAD.Vector(2, 0, 0) |
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obj_2.FemMesh = a |
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}} |
}} |
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==== Visual properties ==== |
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Once a FemMesh object has been created with {{incode|Fem.show()}}, some of its visual properties can be changed by modifying the different attributes of its {{incode|ViewObject}}. This can be useful to postprocess the mesh after a finite element solution has been obtained. |
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Highlight some nodes in the mesh |
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==== Visual handling ==== |
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Highlight some nodes on the view: |
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{{Code|code= |
{{Code|code= |
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Fem.show(m) |
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import FreeCAD, Fem |
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obj = FreeCAD.ActiveDocument.ActiveObject |
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obj.ViewObject.HighlightedNodes = [1, 2, 3] |
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m = Fem.FemMesh() |
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}} |
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The individual elements of a mesh can be modified by passing a dictionary with the appropriate {{incode|key:value}} pairs. |
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m.addNode(0,1,0) |
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m.addNode(0,0,1) |
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m.addNode(1,0,0) |
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m.addNode(0,0,0) |
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m.addNode(0,0.5,0.5) |
|||
m.addNode(0.5,0.03,.5) |
|||
m.addNode(0.5,0.5,0.03) |
|||
m.addNode(0,0.5,0) |
|||
m.addNode(0.03,0,0.5) |
|||
m.addNode(0.5,0,0) |
|||
m.addVolume([1,2,3,4,5,6,7,8,9,10]) |
|||
Set volume 1 to red |
|||
Fem.show(m) |
|||
Gui.ActiveDocument.ActiveObject.HighlightedNodes = [1,2,3] |
|||
{{Code|code= |
|||
obj.ViewObject.ElementColor = {1:(1,0,0)} |
|||
}} |
}} |
||
Postprocessing colors and displacement: |
|||
Set nodes 1, 2 and 3 to a certain color; the faces between the nodes acquire an interpolated color. |
|||
Highlight some nodes on the view: |
|||
{{Code|code= |
{{Code|code= |
||
obj.ViewObject.NodeColor = {1:(1,0,0), 2:(0,1,0), 3:(0,0,1)} |
|||
# set the volume 1 to red |
|||
Gui.ActiveDocument.ActiveObject.ElementColor= {1:(1,0,0)} |
|||
# set the node 1 and 2 to a certain Color and interpolate the survace |
|||
Gui.ActiveDocument.ActiveObject.NodeColor= {1:(1,0,0),2:(1,0,0)} |
|||
# set the node 1 and 2 to a certain displacement |
|||
Gui.ActiveDocument.ActiveObject.NodeDisplacement= {1:FreeCAD.Vector(1,0,0),2:FreeCAD.Vector(1,0,0)} |
|||
# double the factor of the displacement shown |
|||
Gui.ActiveDocument.ActiveObject.animate(2.0) |
|||
}} |
}} |
||
=== Script one Element of each supported Element Type === |
|||
Displace the nodes 1 and 2 by the magnitude and direction defined by a vector. |
|||
{{Code|code= |
|||
obj.ViewObject.NodeDisplacement = {1:FreeCAD.Vector(0,1,0), 2:FreeCAD.Vector(1,0,0)} |
|||
}} |
|||
Double the factor of the displacement shown. ({{Emphasis|Note to editors: removed in newer versions?}}) |
|||
{{Code|code= |
|||
obj.ViewObject.animate(2.0) |
|||
}} |
|||
== Scripting examples of each supported element type == |
|||
=== Beam, 2 node line, seg2 (linear) === |
|||
{{Code|code= |
{{Code|code= |
||
import Fem |
import Fem |
||
################################################# |
|||
# Beams |
|||
# 2 node line --> seg2 ########################## |
|||
seg2 = Fem.FemMesh() |
seg2 = Fem.FemMesh() |
||
seg2.addNode( 0, |
seg2.addNode( 0, 0, 0, 1) |
||
seg2.addNode(10, |
seg2.addNode(10, 0, 0, 2) |
||
seg2.addEdge(1, 2) |
seg2.addEdge(1, 2) |
||
seg2 |
print(seg2) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","seg2") |
|||
obj = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject", "seg2") |
|||
obj.FemMesh = seg2 |
obj.FemMesh = seg2 |
||
obj.Placement.Base = (0,110,0) |
obj.Placement.Base = FreeCAD.Vector(0, 110, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
=== Beam, 3 node line, seg3 (quadratic) === |
|||
{{Code|code= |
|||
# 3 node line --> seg3 ########################## |
|||
import Fem |
|||
# not implemented |
|||
seg3 = Fem.FemMesh() |
|||
seg3.addNode( 0, 0, 0, 1) |
|||
seg3.addNode(10, 0, 0, 2) |
|||
seg3.addNode( 5, 0, 0, 3) |
|||
seg3.addEdge([1, 2, 3]) |
|||
print(seg3) |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "seg3") |
|||
obj.FemMesh = seg3 |
|||
obj.Placement.Base = FreeCAD.Vector(30, 110, 0) |
|||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
|||
}} |
|||
=== Shell, 3 node triangle, tria3 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
################################################# |
|||
# Shells |
|||
# 3 node triangle --> tria3 ##################### |
|||
tria3 = Fem.FemMesh() |
tria3 = Fem.FemMesh() |
||
tria3.addNode( 0, 0, 0, 1) |
tria3.addNode( 0, 0, 0, 1) |
||
tria3.addNode( 6, 12, 0, 2) |
tria3.addNode( 6, 12, 0, 2) |
||
tria3.addNode(12, 0, 0, 3) |
tria3.addNode(12, 0, 0, 3) |
||
tria3.addFace([1, |
tria3.addFace([1, 2, 3]) |
||
tria3 |
print(tria3) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","tria3") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tria3") |
|||
obj.FemMesh = tria3 |
obj.FemMesh = tria3 |
||
obj.Placement.Base = (0,80,0) |
obj.Placement.Base = FreeCAD.Vector(0, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
}} |
|||
# add Face with element number |
|||
Add a face with the element number. |
|||
{{Code|code= |
|||
elemtria3 = Fem.FemMesh() |
elemtria3 = Fem.FemMesh() |
||
nodes = tria3.Nodes |
|||
for n in |
for n in nodes: |
||
elemtria3.addNode( |
elemtria3.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemtria3.addFace([1, |
elemtria3.addFace([1, 2, 3], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemtria3") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtria3") |
|||
obj.FemMesh = elemtria3 |
obj.FemMesh = elemtria3 |
||
obj.Placement.Base = (200,80,0) |
obj.Placement.Base = FreeCAD.Vector(200, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
elemtria3.Faces |
print(elemtria3.Faces) |
||
}} |
|||
=== Shell, 6 node triangle, tria6 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 6 node triangle --> tria 6 #################### |
|||
tria6 = Fem.FemMesh() |
tria6 = Fem.FemMesh() |
||
tria6.addNode( 0, 0, 0, 1) |
tria6.addNode( 0, 0, 0, 1) |
||
Line 207: | Line 318: | ||
tria6.addNode( 9, 6, 0, 5) |
tria6.addNode( 9, 6, 0, 5) |
||
tria6.addNode( 6, 0, 0, 6) |
tria6.addNode( 6, 0, 0, 6) |
||
tria6.addFace([1, |
tria6.addFace([1, 2, 3, 4, 5, 6]) |
||
tria6 |
print(tria6) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","tria6") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tria6") |
|||
obj.FemMesh = tria6 |
obj.FemMesh = tria6 |
||
obj.Placement.Base = (30,80,0) |
obj.Placement.Base = FreeCAD.Vector(30, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
}} |
|||
# add Face with element number |
|||
Add a face with the element number. |
|||
{{Code|code= |
|||
elemtria6 = Fem.FemMesh() |
elemtria6 = Fem.FemMesh() |
||
nodes = tria6.Nodes |
|||
for n in |
for n in nodes: |
||
elemtria6.addNode( |
elemtria6.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemtria6.addFace([1, |
elemtria6.addFace([1, 2, 3, 4, 5, 6], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemtria6") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtria6") |
||
obj.FemMesh = elemtria6 |
obj.FemMesh = elemtria6 |
||
obj.Placement.Base = (230,80,0) |
obj.Placement.Base = FreeCAD.Vector(230, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
elemtria6.Faces |
print(elemtria6.Faces) |
||
}} |
|||
=== Shell, 4 node quadrangle, quad4 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 4 node quad --> quad4 ######################### |
|||
quad4 = Fem.FemMesh() |
quad4 = Fem.FemMesh() |
||
quad4.addNode( 0, 10, 0, 1) |
quad4.addNode( 0, 10, 0, 1) |
||
Line 235: | Line 355: | ||
quad4.addNode(10, 0, 0, 3) |
quad4.addNode(10, 0, 0, 3) |
||
quad4.addNode( 0, 0, 0, 4) |
quad4.addNode( 0, 0, 0, 4) |
||
quad4.addFace([1, |
quad4.addFace([1, 2, 3, 4]) |
||
quad4 |
print(quad4) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","quad4") |
|||
obj = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject", "quad4") |
|||
obj.FemMesh = quad4 |
obj.FemMesh = quad4 |
||
obj.Placement.Base = (60,80,0) |
obj.Placement.Base = FreeCAD.Vector(60, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
}} |
|||
# add Face with element number |
|||
Add a face with the element number. |
|||
{{Code|code= |
|||
elemquad4 = Fem.FemMesh() |
elemquad4 = Fem.FemMesh() |
||
nodes = quad4.Nodes |
|||
for n in |
for n in nodes: |
||
elemquad4.addNode( |
elemquad4.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemquad4.addFace([1, |
elemquad4.addFace([1, 2, 3, 4], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemquad4") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemquad4") |
||
obj.FemMesh = elemquad4 |
obj.FemMesh = elemquad4 |
||
obj.Placement.Base = (260,80,0) |
obj.Placement.Base = FreeCAD.Vector(260, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
elemquad4.Faces |
print(elemquad4.Faces) |
||
}} |
|||
=== Shell, 8 node quadrangle, quad8 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 8 node quad --> quad8 ######################### |
|||
quad8 = Fem.FemMesh() |
quad8 = Fem.FemMesh() |
||
quad8.addNode( 0, 10, 0, 1) |
quad8.addNode( 0, 10, 0, 1) |
||
Line 267: | Line 396: | ||
quad8.addNode( 5, 0, 0, 7) |
quad8.addNode( 5, 0, 0, 7) |
||
quad8.addNode( 0, 5, 0, 8) |
quad8.addNode( 0, 5, 0, 8) |
||
quad8.addFace([1, |
quad8.addFace([1, 2, 3, 4, 5, 6, 7, 8]) |
||
quad8 |
print(quad8) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","quad8") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "quad8") |
|||
obj.FemMesh = quad8 |
obj.FemMesh = quad8 |
||
obj.Placement.Base = FreeCAD.Vector(90, 80, 0) |
|||
obj.ViewObject.BackfaceCulling = False |
|||
obj.Placement.Base = (90,80,0) |
|||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
|||
# add Face with element number |
|||
}} |
|||
Add a face with the element number. |
|||
{{Code|code= |
|||
elemquad8 = Fem.FemMesh() |
elemquad8 = Fem.FemMesh() |
||
nodes = quad8.Nodes |
|||
for n in |
for n in nodes: |
||
elemquad8.addNode( |
elemquad8.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemquad8.addFace([1, |
elemquad8.addFace([1, 2, 3, 4, 5, 6, 7, 8], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemquad8") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemquad8") |
||
obj.FemMesh = elemquad8 |
obj.FemMesh = elemquad8 |
||
obj.Placement.Base = (290,80,0) |
obj.Placement.Base = FreeCAD.Vector(290, 80, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
obj.ViewObject.BackfaceCulling = False |
obj.ViewObject.BackfaceCulling = False |
||
elemquad8.Faces |
print(elemquad8.Faces) |
||
}} |
|||
=== Volume, 4 node tetrahedron, tetra4 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
################################################# |
|||
# Volumes |
|||
# 4 node tetrahedron --> tetra4 ################# |
|||
tetra4 = Fem.FemMesh() |
tetra4 = Fem.FemMesh() |
||
tetra4.addNode( 6, 12, 18, 1) |
tetra4.addNode( 6, 12, 18, 1) |
||
Line 297: | Line 433: | ||
tetra4.addNode(12, 0, 18, 3) |
tetra4.addNode(12, 0, 18, 3) |
||
tetra4.addNode( 6, 6, 0, 4) |
tetra4.addNode( 6, 6, 0, 4) |
||
tetra4.addVolume([1, |
tetra4.addVolume([1, 2, 3, 4]) |
||
tetra4 |
print(tetra4) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","tetra4") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tetra4") |
|||
obj.FemMesh = tetra4 |
obj.FemMesh = tetra4 |
||
obj.Placement.Base = (0,50,0) |
obj.Placement.Base = FreeCAD.Vector(0, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elemtetra4 = Fem.FemMesh() |
elemtetra4 = Fem.FemMesh() |
||
nodes = tetra4.Nodes |
|||
for n in |
for n in nodes: |
||
elemtetra4.addNode( |
elemtetra4.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemtetra4.addVolume([1, |
elemtetra4.addVolume([1, 2, 3, 4], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemtetra4") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtetra4") |
||
obj.FemMesh = elemtetra4 |
obj.FemMesh = elemtetra4 |
||
obj.Placement.Base = (200,50,0) |
obj.Placement.Base = FreeCAD.Vector(200, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elemtetra4.Volumes |
print(elemtetra4.Volumes) |
||
}} |
|||
=== Volume, 10 node tetrahedron, tetra10 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 10 node tetrahedron --> tetra10 ############### |
|||
tetra10 = Fem.FemMesh() |
tetra10 = Fem.FemMesh() |
||
tetra10.addNode( 6, 12, 18, 1) |
tetra10.addNode( 6, 12, 18, 1) |
||
Line 332: | Line 477: | ||
tetra10.addNode( 9, 3, 9,10) |
tetra10.addNode( 9, 3, 9,10) |
||
tetra10.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) |
tetra10.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) |
||
tetra10 |
print(tetra10) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","tetra10") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tetra10") |
|||
obj.FemMesh = tetra10 |
obj.FemMesh = tetra10 |
||
obj.Placement.Base = (30,50,0) |
obj.Placement.Base = FreeCAD.Vector(30, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elemtetra10 = Fem.FemMesh() |
elemtetra10 = Fem.FemMesh() |
||
nodes = tetra10.Nodes |
|||
for n in |
for n in nodes: |
||
elemtetra10.addNode( |
elemtetra10.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemtetra10.addVolume([1, |
elemtetra10.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemtetra10") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtetra10") |
||
obj.FemMesh = elemtetra10 |
obj.FemMesh = elemtetra10 |
||
obj.Placement.Base = (230,50,0) |
obj.Placement.Base = FreeCAD.Vector(230, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elemtetra10.Volumes |
print(elemtetra10.Volumes) |
||
}} |
|||
=== Volume, 8 node hexahedron, hexa8 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 8 node Hexahedron --> hexa8 ################### |
|||
hexa8 = Fem.FemMesh() |
hexa8 = Fem.FemMesh() |
||
hexa8.addNode( 0, 10, 10, 1) |
hexa8.addNode( 0, 10, 10, 1) |
||
Line 362: | Line 516: | ||
hexa8.addNode(10, 10, 0, 8) |
hexa8.addNode(10, 10, 0, 8) |
||
hexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8]) |
hexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8]) |
||
hexa8 |
print(hexa8) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","hexa8") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "hexa8") |
|||
obj.FemMesh = hexa8 |
obj.FemMesh = hexa8 |
||
obj.Placement.Base = (60,50,0) |
obj.Placement.Base = FreeCAD.Vector(60, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elemhexa8 = Fem.FemMesh() |
elemhexa8 = Fem.FemMesh() |
||
nodes = hexa8.Nodes |
|||
for n in |
for n in nodes: |
||
elemhexa8.addNode( |
elemhexa8.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemhexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8], 88) |
elemhexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemhexa8") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemhexa8") |
||
obj.FemMesh = elemhexa8 |
obj.FemMesh = elemhexa8 |
||
obj.Placement.Base = (260,50,0) |
obj.Placement.Base = FreeCAD.Vector(260, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elemhexa8.Volumes |
print(elemhexa8.Volumes) |
||
}} |
|||
=== Volume, 20 node hexahedron, hexa20 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 20 node Hexahedron --> hexa20 ################# |
|||
hexa20 = Fem.FemMesh() |
hexa20 = Fem.FemMesh() |
||
hexa20.addNode( 0, 10, 10, 1) |
hexa20.addNode( 0, 10, 10, 1) |
||
Line 407: | Line 570: | ||
hexa20.addNode(10, 10, 5, 20) |
hexa20.addNode(10, 10, 5, 20) |
||
hexa20.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]) |
hexa20.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]) |
||
hexa20 |
print(hexa20) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","hexa20") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "hexa20") |
|||
obj.FemMesh = hexa20 |
obj.FemMesh = hexa20 |
||
obj.Placement.Base = (90,50,0) |
obj.Placement.Base = FreeCAD.Vector(90, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elemhexa20 = Fem.FemMesh() |
elemhexa20 = Fem.FemMesh() |
||
nodes = hexa20.Nodes |
|||
for n in |
for n in nodes: |
||
elemhexa20.addNode( |
elemhexa20.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elemhexa20.addVolume([1, |
elemhexa20.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elemhexa20") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemhexa20") |
||
obj.FemMesh = elemhexa20 |
obj.FemMesh = elemhexa20 |
||
obj.Placement.Base = (290,50,0) |
obj.Placement.Base = FreeCAD.Vector(290, 50, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elemhexa20.Volumes |
print(elemhexa20.Volumes) |
||
}} |
|||
=== Volume, 6 node pentahedron, penta6 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 6 node pentahedron --> penta6 ################# |
|||
penta6 = Fem.FemMesh() |
penta6 = Fem.FemMesh() |
||
penta6.addNode(10,10,10, 1) |
penta6.addNode(10, 10, 10, 1) |
||
penta6.addNode( 0, 0,10, 2) |
penta6.addNode( 0, 0, 10, 2) |
||
penta6.addNode(20, 0,10, 3) |
penta6.addNode(20, 0, 10, 3) |
||
penta6.addNode(10,10, 0, 4) |
penta6.addNode(10, 10, 0, 4) |
||
penta6.addNode( 0, 0, 0, 5) |
penta6.addNode( 0, 0, 0, 5) |
||
penta6.addNode(20, 0, 0, 6) |
penta6.addNode(20, 0, 0, 6) |
||
penta6.addVolume([1, 2, 3, 4, 5, 6]) |
penta6.addVolume([1, 2, 3, 4, 5, 6]) |
||
penta6 |
print(penta6) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","penta6") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "penta6") |
|||
obj.FemMesh = penta6 |
obj.FemMesh = penta6 |
||
obj.Placement.Base = (0,0,0) |
obj.Placement.Base = FreeCAD.Vector(0, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elempenta6 = Fem.FemMesh() |
elempenta6 = Fem.FemMesh() |
||
nodes = penta6.Nodes |
|||
for n in |
for n in nodes: |
||
elempenta6.addNode( |
elempenta6.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elempenta6.addVolume([ 1, |
elempenta6.addVolume([ 1, 2, 3, 4, 5, 6], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elempenta6") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempenta6") |
||
obj.FemMesh = elempenta6 |
obj.FemMesh = elempenta6 |
||
obj.Placement.Base = (200,0,0) |
obj.Placement.Base = FreeCAD.Vector(200, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elempenta6.Volumes |
print(elempenta6.Volumes) |
||
}} |
|||
=== Volume, 15 node pentahedron, penta15 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 15 node pentahedron --> penta15 ############### |
|||
penta15 = Fem.FemMesh() |
penta15 = Fem.FemMesh() |
||
penta15.addNode(10,10,10, 1) |
penta15.addNode(10, 10, 10, 1) |
||
penta15.addNode( 0, 0,10, 2) |
penta15.addNode( 0, 0, 10, 2) |
||
penta15.addNode(20, 0,10, 3) |
penta15.addNode(20, 0, 10, 3) |
||
penta15.addNode(10,10, 0, 4) |
penta15.addNode(10, 10, 0, 4) |
||
penta15.addNode( 0, 0, 0, 5) |
penta15.addNode( 0, 0, 0, 5) |
||
penta15.addNode(20, 0, 0, 6) |
penta15.addNode(20, 0, 0, 6) |
||
penta15.addNode( 5, 5,10, 7) |
penta15.addNode( 5, 5, 10, 7) |
||
penta15.addNode(10, 0,10, 8) |
penta15.addNode(10, 0, 10, 8) |
||
penta15.addNode(15, 5,10, 9) |
penta15.addNode(15, 5, 10, 9) |
||
penta15.addNode( 5, 5, 0,10) |
penta15.addNode( 5, 5, 0, 10) |
||
penta15.addNode(10, 0, 0,11) |
penta15.addNode(10, 0, 0, 11) |
||
penta15.addNode(15, 5, 0,12) |
penta15.addNode(15, 5, 0, 12) |
||
penta15.addNode(10,10, 5,13) |
penta15.addNode(10, 10, 5, 13) |
||
penta15.addNode( 0, 0, 5,14) |
penta15.addNode( 0, 0, 5, 14) |
||
penta15.addNode(20, 0, 5,15) |
penta15.addNode(20, 0, 5, 15) |
||
penta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]) |
penta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]) |
||
penta15 |
print(penta15) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","penta15") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "penta15") |
|||
obj.FemMesh = penta15 |
obj.FemMesh = penta15 |
||
obj.Placement.Base = (40,0,0) |
obj.Placement.Base = FreeCAD.Vector(40, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elempenta15 = Fem.FemMesh() |
elempenta15 = Fem.FemMesh() |
||
nodes = penta15.Nodes |
|||
for n in |
for n in nodes: |
||
elempenta15.addNode( |
elempenta15.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elempenta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], 88) |
elempenta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elempenta15") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempenta15") |
||
obj.FemMesh = elempenta15 |
obj.FemMesh = elempenta15 |
||
obj.Placement.Base = (240,0,0) |
obj.Placement.Base = FreeCAD.Vector(240, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elempenta15.Volumes |
print(elempenta15.Volumes) |
||
}} |
|||
=== Volume, 5 node pyramid, pyra5 (linear) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 5 node pyramid --> pyra5 ###################### |
|||
pyra5 = Fem.FemMesh() |
pyra5 = Fem.FemMesh() |
||
pyra5.addNode( 0,20, 0, 1) |
pyra5.addNode( 0, 20, 0, 1) |
||
pyra5.addNode(20,20, 0, 2) |
pyra5.addNode(20, 20, 0, 2) |
||
pyra5.addNode(20, 0, 0, 3) |
pyra5.addNode(20, 0, 0, 3) |
||
pyra5.addNode( 0, 0, 0, 4) |
pyra5.addNode( 0, 0, 0, 4) |
||
pyra5.addNode(10,10,10, 5) |
pyra5.addNode(10, 10, 10, 5) |
||
pyra5.addVolume([1, 2, 3, 4, 5]) |
pyra5.addVolume([1, 2, 3, 4, 5]) |
||
pyra5 |
print(pyra5) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","pyra5") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "pyra5") |
|||
obj.FemMesh = pyra5 |
obj.FemMesh = pyra5 |
||
obj.Placement.Base = (80,0,0) |
obj.Placement.Base = FreeCAD.Vector(80, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elempyra5 = Fem.FemMesh() |
elempyra5 = Fem.FemMesh() |
||
nodes = pyra5.Nodes |
|||
for n in |
for n in nodes: |
||
elempyra5.addNode( |
elempyra5.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elempyra5.addVolume([1, |
elempyra5.addVolume([1, 2, 3, 4, 5], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elempyra5") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempyra5") |
||
obj.FemMesh = elempyra5 |
obj.FemMesh = elempyra5 |
||
obj.Placement.Base = (280,0,0) |
obj.Placement.Base = FreeCAD.Vector(280, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elempyra5.Volumes |
print(elempyra5.Volumes) |
||
}} |
|||
=== Volume, 13 node pyramid, pyra13 (quadratic) === |
|||
{{Code|code= |
|||
import Fem |
|||
# 13 node pyramid --> pyra13 #################### |
|||
pyra13 = Fem.FemMesh() |
pyra13 = Fem.FemMesh() |
||
pyra13.addNode( 0,20, 0, 1) |
pyra13.addNode( 0, 20, 0, 1) |
||
pyra13.addNode(20,20, 0, 2) |
pyra13.addNode(20, 20, 0, 2) |
||
pyra13.addNode(20, 0, 0, 3) |
pyra13.addNode(20, 0, 0, 3) |
||
pyra13.addNode( 0, 0, 0, 4) |
pyra13.addNode( 0, 0, 0, 4) |
||
pyra13.addNode(10,10,10, 5) |
pyra13.addNode(10, 10, 10, 5) |
||
pyra13.addNode(10,20, 0, 6) |
pyra13.addNode(10, 20, 0, 6) |
||
pyra13.addNode(20,10, 0, 7) |
pyra13.addNode(20, 10, 0, 7) |
||
pyra13.addNode(10, 0, 0, 8) |
pyra13.addNode(10, 0, 0, 8) |
||
pyra13.addNode( 0,10, 0, 9) |
pyra13.addNode( 0, 10, 0, 9) |
||
pyra13.addNode( 5,15, 5,10) |
pyra13.addNode( 5, 15, 5, 10) |
||
pyra13.addNode(15,15, 5,11) |
pyra13.addNode(15, 15, 5, 11) |
||
pyra13.addNode(15, 5, 5,12) |
pyra13.addNode(15, 5, 5, 12) |
||
pyra13.addNode( 5, 5, 5, 13) |
|||
pyra5 = Fem.FemMesh() |
|||
pyra13.addNode( 5, 5, 5,13) |
|||
pyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]) |
pyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]) |
||
pyra13 |
print(pyra13) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","pyra13") |
|||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "pyra13") |
|||
obj.FemMesh = pyra13 |
obj.FemMesh = pyra13 |
||
obj.Placement.Base = (120,0,0) |
obj.Placement.Base = FreeCAD.Vector(120, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
}} |
|||
# add Volume with element number |
|||
Add a volume with the element number. |
|||
{{Code|code= |
|||
elempyra13 = Fem.FemMesh() |
elempyra13 = Fem.FemMesh() |
||
nodes = pyra13.Nodes |
|||
for n in |
for n in nodes: |
||
elempyra13.addNode( |
elempyra13.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n) |
||
elempyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], 88) |
elempyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], 88) |
||
obj = App.ActiveDocument.addObject("Fem::FemMeshObject","elempyra13") |
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempyra13") |
||
obj.FemMesh = elempyra13 |
obj.FemMesh = elempyra13 |
||
obj.Placement.Base = (320,0,0) |
obj.Placement.Base = FreeCAD.Vector(320, 0, 0) |
||
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes" |
||
elempyra13.Volumes |
print(elempyra13.Volumes) |
||
}} |
}} |
||
[[Fem Workbench/ru|FEM Workbench]] |
|||
== Scripting examples for groups == |
|||
[[Category:User Documentation/ru]] |
|||
See for example https://forum.freecadweb.org/viewtopic.php?f=18&t=37304&start=20#p318823 |
|||
{{FEM Tools navi{{#translation:}}}} |
|||
{{Userdocnavi{{#translation:}}}} |
|||
{{clear}} |
{{clear}} |
||
<languages/> |
Revision as of 10:06, 31 December 2021
Create a finite element mesh
Создать FEM Mesh
Анализ методом конечных элементов выполняется на сетке, состоящей из множества треугольных и четырехугольных конечных элементов, которые разделяют исходное тело. Чем точнее будет сетка, тем точнее будут численные результаты, но и время вычисления будет больше. Баланс между размером сетки, временем вычислений и точностью результатов является важной характеристикой четко определенного анализа методом конечных элементов.
Существуют различные возможности для создания сетки МКЭ в верстаке FEM:
- Инструмент GMSH с использованием графического интерфейса.
- Инструмент Netgen с использованием графического интерфейса.
- Импорт сетки из другой программы. В частности, Gmsh и Netgen могут использоваться сами по себе вне FreeCAD с сетками твердых тел вроде файлов Step.
- Создание сетки вручную с помощью скриптов Python.
Инструменты Gmsh и Netgen поддерживают создание сеток из тела, созданных с помощью верстаков Part и PartDesign, а также простые копии этих тел. В общем, любой верстак, который генерирует твердые объекты, например верстак Arch, можно использовать для создания сеток. Обратите внимание, что сетка, используемая для FEA, не то же самое что сетка, созданная или импортированная из верстака Mesh.
The FEM Workbench calls the external tool Gmsh to obtain a mesh from a solid body created with any workbench in FreeCAD; it can also import a mesh created externally
(1) Solid body created with PartDesign; (2) mesh produced by the Gmsh tool inside the FEM Workbench (all triangles); and (3) mesh produced externally by Gmsh, exported to Abaqus format .inp, and then imported into FreeCAD (all quadrangles)
The Gmsh and Netgen tools are convenience tools to quickly mesh a body, and thus don't expose the full capabilities of these programs; they normally create triangular meshes, which may not be ideal for some types of analysis. If you'd like to have more control of the created mesh (use only quadrilaterals, precise element number and size, variable resolution of the mesh, etc.), you should use these programs externally, produce a mesh file in a supported format (.inp, .unv, .vtk, .z88), and import this file into FreeCAD.
Previously, Netgen was included with FreeCAD and could be used immediately. Now, both Netgen and Gmsh should be installed before they can be used by the FEM Workbench. Refer to FEM Install for instructions.
Meshing software
Meshing software operates on solid bodies that can be in different formats, like Step and Brep. These programs can be used independently of FreeCAD, and typically have many options to control the meshing algorithms, element size, and boundary conditions.
The FEM Workbench has developed simple communication interfaces to use Gmsh and Netgen directly inside FreeCAD. Other programs don't have an interface, but this could change in the future if there is interest from the community, and if those applications are easy to integrate. The meshing software can be compiled and distributed together with FreeCAD only if its license is compatible with the LGPL2 license; otherwise, the program has to be used as an external binary, like Gmsh (GPL2) is used.
Interface implemented in FreeCAD
- Gmsh: main website, code repository
- Netgen: main website, code repository
No interface in FreeCAD
- ENigMA, forum thread, code repository
- libMesh, main website, code repository, forum thread; it's a very active project, and it's C++ only
- PythonOCC, main website
- SnappyHexMesh, main website
- Tetgen, main website
Mesh elements in FreeCAD
FreeCAD supports various element types. The following article explains the difference between them, and when should be used: Meshing Your Geometry: When to Use the Various Element Types.
- "NI" means the element type is not implemented in FreeCAD but the format would support it.
- "-" means the format specification does not support this element type, thus FreeCAD cannot support it.
- "?" means it is not known if the format supports this element type.
FEM element types
More information on the elements, and their data structure inside FreeCAD can be found in FEM Element Types.
Segment element
Triangle element
Quadrangle element
Tetrahedron element
Hexahedron element
Pentahedron element (prism)
Pyramid element
Scripting
Create a FEM mesh completely in Python
See also: FreeCAD Scripting Basics.
The Python API allows the user to define a finite element mesh by directly adding individual nodes, and defining edges, faces, and volumes.
The mesh itself is of type Fem::FemMesh
, which needs to be attached to a proper document object of type Fem::FemMeshObject
.
App.ActiveDocument.Mesh_object.TypeId = Fem::FemMeshObject
.
.
.FemMesh.TypeId = Fem::FemMesh
Creating a mesh with one Tet-10 element
Create an empty FemMesh, populate it with nodes, create the volume, and finally call Fem.show()
to create the document object with the corresponding mesh.
import FreeCAD, Fem
m = Fem.FemMesh()
m.addNode(0, 1, 0)
m.addNode(0, 0, 1)
m.addNode(1, 0, 0)
m.addNode(0, 0, 0)
m.addNode(0, 0.5, 0.5)
m.addNode(0.5, 0.03, 0.5)
m.addNode(0.5, 0.5, 0.03)
m.addNode(0, 0.5, 0)
m.addNode(0.03, 0, 0.5)
m.addNode(0.5, 0, 0)
m.addVolume([1,2,3,4,5,6,7,8,9,10])
Fem.show(m)
obj = FreeCAD.ActiveDocument.ActiveObject
If you want to have predefined node and element numbering, pass the appropriate ID to the node and volume methods.
To create an actual document object, instead of Fem.show()
you can also use the document addObject()
method; then attach the created mesh to this object's FemMesh
attribute.
a = Fem.FemMesh()
a.addNode(0, 1, 0, 1)
a.addNode(0, 0, 1, 2)
a.addNode(1, 0, 0, 3)
a.addNode(0, 0, 0, 4)
a.addNode(0, 0.5, 0.5, 5)
a.addNode(0.5, 0.03, 0.5, 6)
a.addNode(0.5, 0.5, 0.03, 7)
a.addNode(0, 0.5, 0, 8)
a.addNode(0.03, 0, 0.5, 9)
a.addNode(0.5, 0, 0, 10)
a.addVolume([1,2,3,4,5,6,7,8,9,10], 1)
obj_2 = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject")
obj_2.Placement.Base = FreeCAD.Vector(2, 0, 0)
obj_2.FemMesh = a
Visual properties
Once a FemMesh object has been created with Fem.show()
, some of its visual properties can be changed by modifying the different attributes of its ViewObject
. This can be useful to postprocess the mesh after a finite element solution has been obtained.
Highlight some nodes in the mesh
Fem.show(m)
obj = FreeCAD.ActiveDocument.ActiveObject
obj.ViewObject.HighlightedNodes = [1, 2, 3]
The individual elements of a mesh can be modified by passing a dictionary with the appropriate key:value
pairs.
Set volume 1 to red
obj.ViewObject.ElementColor = {1:(1,0,0)}
Set nodes 1, 2 and 3 to a certain color; the faces between the nodes acquire an interpolated color.
obj.ViewObject.NodeColor = {1:(1,0,0), 2:(0,1,0), 3:(0,0,1)}
Displace the nodes 1 and 2 by the magnitude and direction defined by a vector.
obj.ViewObject.NodeDisplacement = {1:FreeCAD.Vector(0,1,0), 2:FreeCAD.Vector(1,0,0)}
Double the factor of the displacement shown. (Note to editors: removed in newer versions?)
obj.ViewObject.animate(2.0)
Scripting examples of each supported element type
Beam, 2 node line, seg2 (linear)
import Fem
seg2 = Fem.FemMesh()
seg2.addNode( 0, 0, 0, 1)
seg2.addNode(10, 0, 0, 2)
seg2.addEdge(1, 2)
print(seg2)
obj = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject", "seg2")
obj.FemMesh = seg2
obj.Placement.Base = FreeCAD.Vector(0, 110, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Beam, 3 node line, seg3 (quadratic)
import Fem
seg3 = Fem.FemMesh()
seg3.addNode( 0, 0, 0, 1)
seg3.addNode(10, 0, 0, 2)
seg3.addNode( 5, 0, 0, 3)
seg3.addEdge([1, 2, 3])
print(seg3)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "seg3")
obj.FemMesh = seg3
obj.Placement.Base = FreeCAD.Vector(30, 110, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Shell, 3 node triangle, tria3 (linear)
import Fem
tria3 = Fem.FemMesh()
tria3.addNode( 0, 0, 0, 1)
tria3.addNode( 6, 12, 0, 2)
tria3.addNode(12, 0, 0, 3)
tria3.addFace([1, 2, 3])
print(tria3)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tria3")
obj.FemMesh = tria3
obj.Placement.Base = FreeCAD.Vector(0, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
Add a face with the element number.
elemtria3 = Fem.FemMesh()
nodes = tria3.Nodes
for n in nodes:
elemtria3.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemtria3.addFace([1, 2, 3], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtria3")
obj.FemMesh = elemtria3
obj.Placement.Base = FreeCAD.Vector(200, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
print(elemtria3.Faces)
Shell, 6 node triangle, tria6 (quadratic)
import Fem
tria6 = Fem.FemMesh()
tria6.addNode( 0, 0, 0, 1)
tria6.addNode( 6, 12, 0, 2)
tria6.addNode(12, 0, 0, 3)
tria6.addNode( 3, 6, 0, 4)
tria6.addNode( 9, 6, 0, 5)
tria6.addNode( 6, 0, 0, 6)
tria6.addFace([1, 2, 3, 4, 5, 6])
print(tria6)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tria6")
obj.FemMesh = tria6
obj.Placement.Base = FreeCAD.Vector(30, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
Add a face with the element number.
elemtria6 = Fem.FemMesh()
nodes = tria6.Nodes
for n in nodes:
elemtria6.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemtria6.addFace([1, 2, 3, 4, 5, 6], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtria6")
obj.FemMesh = elemtria6
obj.Placement.Base = FreeCAD.Vector(230, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
print(elemtria6.Faces)
Shell, 4 node quadrangle, quad4 (linear)
import Fem
quad4 = Fem.FemMesh()
quad4.addNode( 0, 10, 0, 1)
quad4.addNode(10, 10, 0, 2)
quad4.addNode(10, 0, 0, 3)
quad4.addNode( 0, 0, 0, 4)
quad4.addFace([1, 2, 3, 4])
print(quad4)
obj = FreeCAD.ActiveDocument.addObject("Fem::FemMeshObject", "quad4")
obj.FemMesh = quad4
obj.Placement.Base = FreeCAD.Vector(60, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
Add a face with the element number.
elemquad4 = Fem.FemMesh()
nodes = quad4.Nodes
for n in nodes:
elemquad4.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemquad4.addFace([1, 2, 3, 4], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemquad4")
obj.FemMesh = elemquad4
obj.Placement.Base = FreeCAD.Vector(260, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
print(elemquad4.Faces)
Shell, 8 node quadrangle, quad8 (quadratic)
import Fem
quad8 = Fem.FemMesh()
quad8.addNode( 0, 10, 0, 1)
quad8.addNode(10, 10, 0, 2)
quad8.addNode(10, 0, 0, 3)
quad8.addNode( 0, 0, 0, 4)
quad8.addNode( 5, 10, 0, 5)
quad8.addNode(10, 5, 0, 6)
quad8.addNode( 5, 0, 0, 7)
quad8.addNode( 0, 5, 0, 8)
quad8.addFace([1, 2, 3, 4, 5, 6, 7, 8])
print(quad8)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "quad8")
obj.FemMesh = quad8
obj.Placement.Base = FreeCAD.Vector(90, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
Add a face with the element number.
elemquad8 = Fem.FemMesh()
nodes = quad8.Nodes
for n in nodes:
elemquad8.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemquad8.addFace([1, 2, 3, 4, 5, 6, 7, 8], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemquad8")
obj.FemMesh = elemquad8
obj.Placement.Base = FreeCAD.Vector(290, 80, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
obj.ViewObject.BackfaceCulling = False
print(elemquad8.Faces)
Volume, 4 node tetrahedron, tetra4 (linear)
import Fem
tetra4 = Fem.FemMesh()
tetra4.addNode( 6, 12, 18, 1)
tetra4.addNode( 0, 0, 18, 2)
tetra4.addNode(12, 0, 18, 3)
tetra4.addNode( 6, 6, 0, 4)
tetra4.addVolume([1, 2, 3, 4])
print(tetra4)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tetra4")
obj.FemMesh = tetra4
obj.Placement.Base = FreeCAD.Vector(0, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elemtetra4 = Fem.FemMesh()
nodes = tetra4.Nodes
for n in nodes:
elemtetra4.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemtetra4.addVolume([1, 2, 3, 4], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtetra4")
obj.FemMesh = elemtetra4
obj.Placement.Base = FreeCAD.Vector(200, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elemtetra4.Volumes)
Volume, 10 node tetrahedron, tetra10 (quadratic)
import Fem
tetra10 = Fem.FemMesh()
tetra10.addNode( 6, 12, 18, 1)
tetra10.addNode( 0, 0, 18, 2)
tetra10.addNode(12, 0, 18, 3)
tetra10.addNode( 6, 6, 0, 4)
tetra10.addNode( 3, 6, 18, 5)
tetra10.addNode( 6, 0, 18, 6)
tetra10.addNode( 9, 6, 18, 7)
tetra10.addNode( 6, 9, 9, 8)
tetra10.addNode( 3, 3, 9, 9)
tetra10.addNode( 9, 3, 9,10)
tetra10.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
print(tetra10)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "tetra10")
obj.FemMesh = tetra10
obj.Placement.Base = FreeCAD.Vector(30, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elemtetra10 = Fem.FemMesh()
nodes = tetra10.Nodes
for n in nodes:
elemtetra10.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemtetra10.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemtetra10")
obj.FemMesh = elemtetra10
obj.Placement.Base = FreeCAD.Vector(230, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elemtetra10.Volumes)
Volume, 8 node hexahedron, hexa8 (linear)
import Fem
hexa8 = Fem.FemMesh()
hexa8.addNode( 0, 10, 10, 1)
hexa8.addNode( 0, 0, 10, 2)
hexa8.addNode(10, 0, 10, 3)
hexa8.addNode(10, 10, 10, 4)
hexa8.addNode( 0, 10, 0, 5)
hexa8.addNode( 0, 0, 0, 6)
hexa8.addNode(10, 0, 0, 7)
hexa8.addNode(10, 10, 0, 8)
hexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8])
print(hexa8)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "hexa8")
obj.FemMesh = hexa8
obj.Placement.Base = FreeCAD.Vector(60, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elemhexa8 = Fem.FemMesh()
nodes = hexa8.Nodes
for n in nodes:
elemhexa8.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemhexa8.addVolume([1, 2, 3, 4, 5, 6, 7, 8], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemhexa8")
obj.FemMesh = elemhexa8
obj.Placement.Base = FreeCAD.Vector(260, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elemhexa8.Volumes)
Volume, 20 node hexahedron, hexa20 (quadratic)
import Fem
hexa20 = Fem.FemMesh()
hexa20.addNode( 0, 10, 10, 1)
hexa20.addNode( 0, 0, 10, 2)
hexa20.addNode(10, 0, 10, 3)
hexa20.addNode(10, 10, 10, 4)
hexa20.addNode( 0, 10, 0, 5)
hexa20.addNode( 0, 0, 0, 6)
hexa20.addNode(10, 0, 0, 7)
hexa20.addNode(10, 10, 0, 8)
hexa20.addNode( 0, 5, 10, 9)
hexa20.addNode( 5, 0, 10, 10)
hexa20.addNode(10, 5, 10, 11)
hexa20.addNode( 5, 10, 10, 12)
hexa20.addNode( 0, 5, 0, 13)
hexa20.addNode( 5, 0, 0, 14)
hexa20.addNode(10, 5, 0, 15)
hexa20.addNode( 5, 10, 0, 16)
hexa20.addNode( 0, 10, 5, 17)
hexa20.addNode( 0, 0, 5, 18)
hexa20.addNode(10, 0, 5, 19)
hexa20.addNode(10, 10, 5, 20)
hexa20.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20])
print(hexa20)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "hexa20")
obj.FemMesh = hexa20
obj.Placement.Base = FreeCAD.Vector(90, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elemhexa20 = Fem.FemMesh()
nodes = hexa20.Nodes
for n in nodes:
elemhexa20.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elemhexa20.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elemhexa20")
obj.FemMesh = elemhexa20
obj.Placement.Base = FreeCAD.Vector(290, 50, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elemhexa20.Volumes)
Volume, 6 node pentahedron, penta6 (linear)
import Fem
penta6 = Fem.FemMesh()
penta6.addNode(10, 10, 10, 1)
penta6.addNode( 0, 0, 10, 2)
penta6.addNode(20, 0, 10, 3)
penta6.addNode(10, 10, 0, 4)
penta6.addNode( 0, 0, 0, 5)
penta6.addNode(20, 0, 0, 6)
penta6.addVolume([1, 2, 3, 4, 5, 6])
print(penta6)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "penta6")
obj.FemMesh = penta6
obj.Placement.Base = FreeCAD.Vector(0, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elempenta6 = Fem.FemMesh()
nodes = penta6.Nodes
for n in nodes:
elempenta6.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elempenta6.addVolume([ 1, 2, 3, 4, 5, 6], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempenta6")
obj.FemMesh = elempenta6
obj.Placement.Base = FreeCAD.Vector(200, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elempenta6.Volumes)
Volume, 15 node pentahedron, penta15 (quadratic)
import Fem
penta15 = Fem.FemMesh()
penta15.addNode(10, 10, 10, 1)
penta15.addNode( 0, 0, 10, 2)
penta15.addNode(20, 0, 10, 3)
penta15.addNode(10, 10, 0, 4)
penta15.addNode( 0, 0, 0, 5)
penta15.addNode(20, 0, 0, 6)
penta15.addNode( 5, 5, 10, 7)
penta15.addNode(10, 0, 10, 8)
penta15.addNode(15, 5, 10, 9)
penta15.addNode( 5, 5, 0, 10)
penta15.addNode(10, 0, 0, 11)
penta15.addNode(15, 5, 0, 12)
penta15.addNode(10, 10, 5, 13)
penta15.addNode( 0, 0, 5, 14)
penta15.addNode(20, 0, 5, 15)
penta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])
print(penta15)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "penta15")
obj.FemMesh = penta15
obj.Placement.Base = FreeCAD.Vector(40, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elempenta15 = Fem.FemMesh()
nodes = penta15.Nodes
for n in nodes:
elempenta15.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elempenta15.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempenta15")
obj.FemMesh = elempenta15
obj.Placement.Base = FreeCAD.Vector(240, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elempenta15.Volumes)
Volume, 5 node pyramid, pyra5 (linear)
import Fem
pyra5 = Fem.FemMesh()
pyra5.addNode( 0, 20, 0, 1)
pyra5.addNode(20, 20, 0, 2)
pyra5.addNode(20, 0, 0, 3)
pyra5.addNode( 0, 0, 0, 4)
pyra5.addNode(10, 10, 10, 5)
pyra5.addVolume([1, 2, 3, 4, 5])
print(pyra5)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "pyra5")
obj.FemMesh = pyra5
obj.Placement.Base = FreeCAD.Vector(80, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elempyra5 = Fem.FemMesh()
nodes = pyra5.Nodes
for n in nodes:
elempyra5.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elempyra5.addVolume([1, 2, 3, 4, 5], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempyra5")
obj.FemMesh = elempyra5
obj.Placement.Base = FreeCAD.Vector(280, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elempyra5.Volumes)
Volume, 13 node pyramid, pyra13 (quadratic)
import Fem
pyra13 = Fem.FemMesh()
pyra13.addNode( 0, 20, 0, 1)
pyra13.addNode(20, 20, 0, 2)
pyra13.addNode(20, 0, 0, 3)
pyra13.addNode( 0, 0, 0, 4)
pyra13.addNode(10, 10, 10, 5)
pyra13.addNode(10, 20, 0, 6)
pyra13.addNode(20, 10, 0, 7)
pyra13.addNode(10, 0, 0, 8)
pyra13.addNode( 0, 10, 0, 9)
pyra13.addNode( 5, 15, 5, 10)
pyra13.addNode(15, 15, 5, 11)
pyra13.addNode(15, 5, 5, 12)
pyra13.addNode( 5, 5, 5, 13)
pyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13])
print(pyra13)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "pyra13")
obj.FemMesh = pyra13
obj.Placement.Base = FreeCAD.Vector(120, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
Add a volume with the element number.
elempyra13 = Fem.FemMesh()
nodes = pyra13.Nodes
for n in nodes:
elempyra13.addNode(nodes[n].x, nodes[n].y, nodes[n].z, n)
elempyra13.addVolume([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], 88)
obj = App.ActiveDocument.addObject("Fem::FemMeshObject", "elempyra13")
obj.FemMesh = elempyra13
obj.Placement.Base = FreeCAD.Vector(320, 0, 0)
obj.ViewObject.DisplayMode = "Faces, Wireframe & Nodes"
print(elempyra13.Volumes)
Scripting examples for groups
See for example https://forum.freecadweb.org/viewtopic.php?f=18&t=37304&start=20#p318823
- Materials: Solid, Fluid, Nonlinear mechanical, Reinforced (concrete); Material editor
- Element geometry: Beam (1D), Beam rotation (1D), Shell (2D), Fluid flow (1D)
Constraints
- Electromagnetic: Electrostatic potential, Current density, Magnetization
- Geometrical: Plane rotation, Section print, Transform
- Mechanical: Fixed, Displacement, Contact, Tie, Spring, Force, Pressure, Centrif, Self weight
- Thermal: Initial temperature, Heat flux, Temperature, Body heat source
- Overwrite Constants: Constant vacuum permittivity
- Solve: CalculiX Standard, Elmer, Mystran, Z88; Equations: Deformation, Elasticity, Electrostatic, Electricforce, Magnetodynamic, Magnetodynamic 2D, Flow, Flux, Heat; Solver: Solver control, Solver run
- Results: Purge, Show; Postprocessing: Apply changes, Pipeline from result, Warp filter, Scalar clip filter, Function cut filter, Region clip filter, Contours filter, Line clip filter, Stress linearization plot, Data at point clip filter, Filter function plane, Filter function sphere, Filter function cylinder, Filter function box
- Additional: Preferences; FEM Install, FEM Mesh, FEM Solver, FEM CalculiX, FEM Concrete; FEM Element Types
- Начинающим
- Установка: Загрузка, Windows, Linux, Mac, Дополнительных компонентов, Docker, AppImage, Ubuntu Snap
- Базовая: О FreeCAD, Интерфейс, Навигация мыши, Методы выделения, Имя объекта, Настройки, Верстаки, Структура документа, Свойства, Помоги FreeCAD, Пожертвования
- Помощь: Учебники, Видео учебники
- Верстаки: Std Base, Arch, Assembly, CAM, Draft, FEM, Inspection, Mesh, OpenSCAD, Part, PartDesign, Points, Reverse Engineering, Robot, Sketcher, Spreadsheet, Start, Surface, TechDraw, Test Framework, Web