선택적 요소방법을 이용한 구조 형상최적 설계기법의 개발

Development of a Structural Shape Optimization Scheme Using Selective Element Method

  • 심진욱 (한양대학교 대학원 기계설계공학과) ;
  • 박경진 (한양대학교 기계공학부)
  • 발행 : 2003.12.01


Structural shape optimization offers engineers with numerous advantages in designing shapes of structures. However, excessive relocation of nodes often cause distortion of elements and eventually result in degrade of accuracy and even halts of processes. To overcome these problems, an effective method, Selective Element Method(SEM), has been developed. This paper describes the basic concept of SEM and processes to implement into real-world problem. 2-D and 3-D shape optimization problems have been chosen to show the performance of the method. Though some limitations have been found, it was concluded that SEM can be useful in general shape optimization and even in some special cases such as decision of optimal weld line location.


  1. Haftka, R.T. and Grandhi, R.V., 1986, 'Structural Shape Optimization-A Survey,' Computer Methods In Applied Mechanics and Engineering, Vol. 57, pp. 91-106
  2. Haftka, R.T. and Gurdal, Z., 1993, Elements of Structural Optimization, Kluwer Academic Publishers, Dodrecht, The Netherland
  3. Park, C.H., Kim, M.S. and Lee, K.Y., 1993, 'Shape Optimization of an Engine Connecting Rod Using the Two-Level Optimization Method,' Transaction of the KSME (A), Vol. 17, No. 4, pp. 776-785
  4. Hsu, Y. L., 1994, 'A Review of Structural Shape Optimization,' Computers in Industry, Vol. 26, pp. Computers in Industry
  5. Kang, B.S., Choi, W.S. and Park, G.J., 2001, 'Structural Optimization under Equivalent Static Loads transformed from Dynamic Loads based on Displacement,' Computers and Structures, Vol. 20, No. 12, pp. 3767-3781
  6. Lee, T.H., Koo, J.K., Han, S.Y. and Lim, J.K., 2000, 'Optimization of the Path of Inner Reinforcement for an Automobile Hood Using Design Sensitivity Analysis,' Transaction of the KSME (A), Vol. 24, No. 1, pp. 62-68
  7. GENESIS User's Manual: version 6.0, 1998, Vanderplaats Research & Development, Inc., 1767 S. 8th Street, Suti M-210, Colorado Springs, CO
  8. Holzleitner, L. and Mahmoud, K.G, 1999, 'Structural Shape Optimization Using MSC/NASTRAN and Sequential Quadratic Programming,' Computers and Structures, Vol. 70, pp. 487-514
  9. Candan, S., Garcelon, J., Balabanov, V. and Venter, G, 2000, 'Shape Optimization Using ABAQUS and VisualDOC,' 8th AAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA
  10. Zhang, S. and Belegundu, A.D., 1993, 'Mesh Distortion Control in Shape Optimization,' AIAA Journal, Vol. 31, No. 7, pp. 1360-1362
  11. Bendsoe, M.P. and Kikuchi, N., 1988, 'Generating Optimal Topologies in Structural Design Using a Homogenization Method,' Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 197-224
  12. Xie, Y.M. and Steven, G.P., 1993, 'A simple evolutionary procedure for structural optimisation,' Computers and Structures, Vol. 49, pp. 885-896
  13. Yang, X.Y. and Xie, Y.M., 1999, 'Bidirectional Evolutionary Method for Stiffiness Optimization,' AIAA Journal, Vol. 37, No. 11, pp. 1483-1488
  14. Querin, O.M., Young, V., Steven, G.P. and Xie, Y.M., 2000, 'Computational efficiency and validation of bidirectional evolutionary structural optimisation,' Computer Methods in Applied Mechanics & Engineering, Vol. 189, pp. 559-573
  15. Baron, P., Fisher, R., Tuson, A., Mill, F. and Sherlock, A., 1999, 'A voxel-based representation for evolutionary shape optimization,' Artificial Intelligence for Engineering Design, Analysis and Manufacturing, Vol. 13, pp. 145-156
  16. Hardee, E., Chang, K.H., Tu, J., Choi, K.K. and Grindeanu, I., 1999, 'A CAD-based Design Parameterization for Shape Optimization of Elastic Solids,' Advances in Engineering Software, Vol. 30, pp.185-199
  17. Tang, P.S. and Chang, K.H., 2001, 'Integration of Topology and Shape Optimization for Design of Structural Components,' Structural and Multidisciplinary Optimization, Vol.22, pp.65-82
  18. Shim, J.W., ;Shin, J.K. and Park, G.J., 2002, 'Development of 2D Structural Shape Optimization Scheme Using Selective Element Method,' Journal of the Computational Structural Engineering Institute of Korea, Vol. 15, No. 4, pp. 599-607
  19. ANSYS User's Guide: version 7.0, 2002, ANSYS Inc., Southpointe 275, Technology Drive, Canonsburg, PA
  20. ModelCenter User's Guide: version 3.1, 2001, Phoenix Integration, Inc., 1750 Kraft Drive, Suite 2200, Blacksburg, VA
  21. Shin, J.K., Lee, K.H., Song, S.I. and Park, G.J., 2002, 'Automotive Door Design with the ULSAB Concept using Structural Optimization,' Structural and Multidisciplinary Optimization, Vol. 23, No. 4, pp. 320-327