A method for Simplified and Equivalent Finite Element Modeling Using Optimization Technique

최적화를 이용한 단순 유화 요소 모델링 기법 개발

  • Published : 2001.01.01


As computer power is increased, refined finite element models are employed for structural analysis. However, it is difficult and expensive to use refined models in the design stage. The refined models especially cause problems in the preliminary design where the design is frequently changed. Therefore, simplified models are needed. The simplification process is regarded as an empirical technique. Simplified and equivalent finite element model of a structure has been studied and used in the preliminary design. A general approach to establish the simplified and equivalent model is presented. The generated simple model has satisfactory correlation with the corresponding refined finite element model. An optimization method, the Goal Programming algorithm is used to make the simple model. The simplified model is used for the design change and the changed design is recovered onto the original design. The presented method was verified with three examples.


Simplification;Equivalence;Goal Programming Method;Recovery;Correlation;Tuning


  1. Park, G.J., 2000, 'Preliminary Study of MDO applications Other Than Aircraft Design,' Internal Report, Mechanical Engineering, Hanyang University, Seoul, (In Korean) Korea
  2. Arora, J.S., 1989, Introduction to Optimum Design, New York, McGraw-Hill, Inc
  3. Haftka, R.T., Gurdal, Z., 1992, Elements of Structural Optimization, Kluwer Academic Publishers
  4. Schmit, L.A., Farshi, B., 1974, 'Some Approximation Concepts for Structural Synthesis,' AIAA Journal, Vol. 11, pp. 489-494
  5. GENESIS ver. 4.0 Users Manual, VMA
  6. 이광원, 1998, '독립 설계 공리를 이용한 구조물의 최적 설계,' 박사 학위 논문, 한양대학교 대학원 기계설계학과
  7. Hwang, K. H., Lee, K. W., and Park, G., J., 2000, 'Robust Optimization of an Automobile Rearview Mirror for Vibration Reduction,' Structural Optimization, being published
  8. Lee, K.W., Park, G.J., 1998, 'The Modeling and Optimization of an Electrical Vehicle Using Joint Analysis,' International Journal of Vehicle Design, Vol. 19, No. 1, pp. 14-28
  9. Yoshimura, M., 1988, 'Detailed Machine Structure Shapes Generated from Simplified Models,' Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, 9-13, pp. 387-394
  10. Kamat, P., 1993, Structural Optimization:Status and Promise, AIAA
  11. Haug, E.J., Arora, J.S., 1979, Applied Optimal Design., John Wiley & Sons
  12. Balling, R. J. and Sobieszczanski-Sobieski, J., 1996, 'Optimization of Coupled Systems: A Critical Overview of Approaches,' AlAA Journal, Vol. 34, No. 1, pp6-17
  13. Livne, E., 1994, 'Equivalent Plate Structural Modeling for Wing Shape Optimization Including Transverse Shear,' AIAA Journal, Vol. 32, No. 6, pp. 1278-1288
  14. Livne, E., 1994, 'Analytic Sensitivities for Shape Optimization in Equivalent Plate Structural Wing Models,' Journal of Aircraft, Vol. 31, No. 4, pp. 961-969
  15. Livne, E., Sels, R. A., and Bhatia, K. G., 1994, 'Lessons from Application of Equivalent Plate Structural Modeling to an HSCT Wing,' Journal of Aircraft, Vol. 31, No. 4, pp. 953-960
  16. Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc
  17. Logan, D.L., 1986, A First Course in the Finite Element Method, PWS Publishing Company
  18. Shigley, J. E. and Mischke, C. R., 1989, Mechanical Engineering Design, McGraw-Hill Inc., pp. 3-9
  19. Sobieszczanski-Sobieski, J. and Haftka, R. T., 1996, 'Multidisciplinary Aerospace Optimization: Survey of Recent Developments,' AlAA Paper 96-0711
  20. Dieter G.E., 1991, Engineering Design, McGraw Hill