1. Course Introduction to virtual engineering Óbuda University John von Neumann Faculty of Informatics Institute of Intelligent Engineering Systems Lecture and laboratory 6. Finite element mesh and load definition László Horváth university professor http://nik.uni-obuda.hu/lhorvath/

2. Contents László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Completing part models for finite element analysis Finite elements and placing loads for analysis Lecture Creating and studying finite element mesh on a spatial surface (VE6.2) Laboratory Definition and optimization of a solid part and its meshing. (VE6.3) Concept of associative, parametric, and adaptive mesh Concept of finite element analysis Introduction by studying typical FEA tasks (VE6.1)

3. Concept of finite element analysis László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Approximation of location dependent parameters as design variables acting on the design performance on a finite number of finite elements A numerical method Edge Node Calculation of parameters on nodes in a mesh Finite Element Modeling (FEM) creates extended part and assembly model for Finite Element Analysis (FEA)

4. Completing part models for finite element analysis (preprocessing) László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Simplified regions Preparation of geometric Convert model from outside source New geometric model New entities model Hálógenerálás Mesh generation Controlled by engineer Automatic correction Automatic Refining mesh Definition of loads and boundary conditions Checking for consistency and correctness Optimizing mesh Preparation of FEM Selection of material properties

5. Finite elements and placing loads for analysis László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ One-dimensional MeshElements Planar Shell Solid

6. Finite elements and placing loads for analysis László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Several frequently applied loads Concentrated and distributed force. Torque. Contact pressure. Acceleration (gravity, translation, rotation). Temperature on surface. Concentrated or distributed heat source. Magnetic. Boundary conditions Mechanical restraints restrict movements in specified directions and result reaction forces. Definition of degrees of freedom. Non-restrained nodes have six degrees of freedom. Placing loads and restraints Making simulation of real operating conditions possible. On mesh (at nodes). On geometry of the part (along lines and on surfaces). Mathematical expressions. Automatic contact recognition.

7. Concept of associative, parametric, and adaptive mesh László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Two-way associative connection between shape model and mesh for automatic change of the mesh in case of changed geometry. Mesh is characterized by parameters mainly for the definition of its dimensions. Adaptive mesh definition is an automatic modification of mesh density, element order, and element shape. Density can vary according to the load on each region.

8. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Slides 8-13 show main steps of the part definition. If you can not understand the definition process, please refer to relevant slide shows for the previous lectures or to the lecturer. Laboratory task VE6.2 includes definition of this part.

9. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

10. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

11. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

12. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

13. Definition of a mechanical part to be analyzed László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

14. Definition of load and restraint in Finite Element Model (FEM) László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Laboratory task VE6.2 includes definition of the subsequent FEM and FEA model.

15. Visualization of mesh in Finite Element Model (FEM) László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

16. Finite Element Analysis (FEM) László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/

17. Introduction by studying typical FEA tasks László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Laboratory task VE6.1 Source: www.catia.com

18. Introduction by studying typical FEA tasks László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Laboratory task VE6.1 Source: www.catia.com

19. Definition and optimization of a solid part and its meshing László Horváth ÓU-JNFI-IIES http://nik. uni-obuda.hu/lhorvath/ Laboratory task VE6.2 Creating a solid part model for the purpose of finite element analysis. Selecting static analysis and definition of global mesh parameters then meshing the part by octree tetrahedron elements. Definition of material and load. Studying effect of mesh improving automatisms at the modification of mesh.