Adaptive Finite Element Analysis of an Enclosed Die Forging Process of a Bevel Gear and its Experimental Verification

베벨기어 폐쇄냉간단조 공정의 지능형 유한요소해석과 결과의 검증

  • Published : 2006.04.01

Abstract

In this paper, an approach to adaptive finite element analysis of three-dimensional forging processes is presented with emphasis on remeshing. In the approach, an optimal tetrahedral element generation technique is employed and the mesh density is specified by the combination of the weighted normalized effective strain and the normalized effective strain rate as well as the weighted normalized curvature. The approach is applied to computer simulation of an enclosed die forging process of a bevel gear and its results are compared with its related experiments. It has been shown that the analyzed results are in good agreement with the experimental ones.

Keywords

References

  1. Arnold, D. N., Brezzi, F. and Fortin, M., 'A stable finite element for Stokes equations,' Calcolo, Vol. 21, pp. 337-344, 1984 https://doi.org/10.1007/BF02576171
  2. Shephard, M. S. and Georges, M. K., 'Automatic Three Dimensional Mesh Generation by the Finite Octree Technique,' Int. J. Numer. Meth. Engng., Vol. 32,pp. 709-749,1991 https://doi.org/10.1002/nme.1620320406
  3. Rassineux, A., 'Generation and Optimization of Tetrahedral Meshes by Advancing Front Technique,' Int. J. Numer. Meth. Engng., Vol. 41, No.4, pp. 651-674,1998 https://doi.org/10.1002/(SICI)1097-0207(19980228)41:4<651::AID-NME304>3.0.CO;2-P
  4. Radovitzky, R. and Ortiz, M., 'Tetrahedral Mesh Generation Based on Node Insertion in Crystal Lattice Arrangements and Advancing-front-Delaunay Triangulation,' Comput. Meth. Appl. Mech. Engng., Vol. 187, NoJ-4, pp. 543-569,2000 https://doi.org/10.1016/S0045-7825(99)00339-4
  5. Lee, J. S., Yoshimura, S., Yagawa, G. and Shibaike, N., 'A CAE System for Micromachines: Its Application to Electrostatic Micro Wobble Actuator,' Sensors and Actuators, Ser. A, No. 50, pp. 209-221,1995 https://doi.org/10.1016/0924-4247(96)80110-5
  6. Lee, M. C. and Joun , M. S., 'Optimal triangular mesh generation using input geometry of triangular meshes: part 1. on the plane,' Submitted to Advances in Engineering Software, 2005
  7. Lee, M. C. and Joun, M. S., 'Optimal triangular mesh generation using input geometry of triangular meshes: part 1. on the surface,' Submitted to Advances in Engineering Software, 2005
  8. Lee, M. C., 'A Study on the Automatic Mesh Generation for Three-Dimensional Metal Forming Simulation,' PhD Thesis, Gyeongsang National University, 2005
  9. Thomas, R., Kopp, R., Debye, J., Lausberg, L., Schneiders, R. and Oberschelp, W., 'Optimization of Metal Forming Processes, Refinement and Optimization of Quadrilateral Element Meshes,' NUMIFORM '92, pp. 307-312, 1992
  10. Choi, B. K., 'Surface Modeling for CAD/CAM,' Elsevier, Netherlands, 1991
  11. Vlachos, A., Peters, J., Boyd, C. and Mitchell, J. L., 'Curved PN Triangles,' Proceedings of the 2001 symposium on Interactive 3D graphics, pp. 159-166, 2001 https://doi.org/10.1145/364338.364387
  12. Rivara, M.-C., Hitschfeld, N. and Simpson, B., 'Terminal-edges Delaunay (small-angle based) Algorithm for the Quality Triangulation Problem,' Computer-Aided Design, Vol. 33, No.3, pp. 263-277, 2001 https://doi.org/10.1016/S0010-4485(00)00125-1
  13. Bossen, F. J., 'Anisotropic Mesh Generation with Particles,' Master's Thesis, Carnegie Mellon University, 1996
  14. Shephard, M. S. and Georges, M. K., 'Automatic Three Dimensional Mesh Generation by the Finite Octree Technique,' Int. J. Numer. Meth. Engng., Vol. 32, pp. 709-749, 1991 https://doi.org/10.1002/nme.1620320406
  15. Radovitzky, R. and Ortiz, M., 'Tetrahedral Mesh Generation Based on Node Insertion in Crystal Lattice Arrangements and Advancing-front-Delaunay Triangulation,' Comput. Meth. Appl. Mech. Engng., Vol. 187, No.3-4, pp. 543-569, 2000 https://doi.org/10.1016/S0045-7825(99)00339-4
  16. Frey, P. J. and George, P. L., 'Mesh Generationapplication to finite elements,' HERMES Science Publishing, United-Kingdom, 2000
  17. Joun, M. S., Lee, M. C., Chung, S. H. and Kwon, Y. S., 'Consideration of the results of metal forming simulation based on mini-elements,' KSME (A), Vol. 28, No. 10, pp. 1475-1482,2004 https://doi.org/10.3795/KSME-A.2004.28.10.1475