대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제28권1호
  • /
  • Pages.48-54
  • /
  • 2004
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지
DOI QR코드

DOI QR Code

등가정하중을 이용한 유연다물체 동역학계의 구조최적설계

Optimization of Flexible Multibody Dynamic Systems Using Equivalent Static Load Method

  • 강병수 (한양대학교 최적설계신기술연구센터) ;
  • 박경진 (한양대학교 기계공학과)
  • 발행 : 2004.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Generally, structural optimization is carried out based on external static loads. All forces have dynamic characteristics in the real world. Mathematical optimization with dynamic loads is extremely difficult in a large-scale problem due to the behaviors in the time domain. In practical applications, it is customary to transform the dynamic loads into static loads by dynamic factors, design codes, and etc. But the optimization results with the unreasonably transformed loads cannot give us good solutions. Recently, a systematic transformation has been proposed as an engineering algorithm. Equivalent static loads are made to generate the same displacement field as the one from dynamic loads at each time step of dynamic analysis. Thus, many load cases are used as the multiple loading conditions which are not costly to include in modem structural optimization. In this research, the proposed algorithm is applied to the optimization of flexible multibody dynamic systems. The equivalent static load is derived from the equations of motion of a flexible multibody dynamic system. A few examples that have been solved before are solved to be compared with the results from the proposed algorithm.

키워드

참고문헌

  1. Haftka, R.T. and Gurdal, Z., 1993, Elements of Structural Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands
  2. Haug, E.J. and Arora, J.S., 1979, Applied Optimal Design, John Wiley and Sons, New York, New York
  3. Vanderplaats, G.N., 1982, 'Structural Optimization-Past, Present, and Future,' AIAA Journal, Vol. 20, No. 7, pp. 992-100 https://doi.org/10.2514/3.51158
  4. Ashley, H., 1982, 'On Making Things the Best - Aeronautical Uses of Optimization,' Journal of Aircraft, Vol. 19, No. 21, pp. 5-28 https://doi.org/10.2514/3.57350
  5. Schmit, L.A., 1981, 'Structural Synthesis-Its Genesis and Development,' AIAA Journal, Vol. 19, No. 10, pp. 1249-1263 https://doi.org/10.2514/3.7859
  6. Hansen, S.R. and Vanderplaats, G.N., 1990, 'Approximation Method for Configuration Optimization of Trusses,' AIAA Journal, Vol. 28, No. 1, pp. 161-168 https://doi.org/10.2514/3.10367
  7. Cassis, J.H. and Schmit, L.A., 1976, 'Optimum Structural Design with Dynamic Constraints,' ASCE, Journal of Structural Division, ST10, pp. 2053-2071
  8. Rangachargulu, M.A.V. and Done, G.T.S., 1979, 'A Survey of Structural Design under Dynamic Constraints,' Shock and Vibration Digest, Vol. 11, No. 12, pp. 15-25 https://doi.org/10.1177/058310247901101204
  9. Feng, T.T., Arora, J.S., and Haug, E.J., 1977, 'Optimal Structural Design under Dynamic Loads,' International Journal for Numerical Methods in Engineering, Vol. 11, pp. 39-52 https://doi.org/10.1002/nme.1620110106
  10. Grandhi, R.V., Haftka, R.T., and Watson, L.T., 1986, 'Design-Oriented Identification of Critical Times in Transient Response,' AIAA Journal, Vol. 24, No. 4, pp. 649-656 https://doi.org/10.2514/3.9321
  11. C.C. Hsieh and J.S. Arora, 1984, 'Design Sensitivity Analysis and Optimization of Dynamic Response,' Computer Methods in Applied Mechanics and Engineering, Vol. 43, pp. 195-219 https://doi.org/10.1016/0045-7825(84)90005-7
  12. Chahande, A.I. and Arora, J.S., 1993, 'Development of a Multiplier for Dynamic Response Optimization Problems,' Structural Optimization, Vol. 6, pp. 69-78 https://doi.org/10.1007/BF01743338
  13. 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 & Structures, Vol. 79, No. 2, pp. 145-154 https://doi.org/10.1016/S0045-7949(00)00127-9
  14. Park, G.J. and Kang, B.S., 2003, 'Validation of a Structural Optimization Algorithm Transforming Dynamic Loads into Equivalent Static Loads,' Journal of Optimization Theory and Applications, Vol. 119, No. 1 (will appear.)
  15. Choi, W.S. and Park, G.J., 2002, 'Structural Optimization Using Equivalent Static Loads at All Time Intervals,' Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 19/20, pp. 2077-2094 https://doi.org/10.1016/S0045-7825(01)00373-5
  16. Park, G.J. and Kang, B.S., 2003, 'Mathematical Proof for Structural Optimization with Equivalent Static Loads Transformed from Dynamic Loads,' Transactions of the KSME, A, Vol. 27, No. 2, pp. 263-275 https://doi.org/10.3795/KSME-A.2003.27.2.268
  17. VR&D, 2001, GENESIS User Manual, VR&D, Colorado Springs, CO.
  18. Function Bay, Inc., 1998, RecurDyn Help Library, Function Bay, Inc., Seoul, Korea
  19. Ansys, 1997, Ansys user's manual, SAS IP, Inc.
  20. Shabana, A.A., 1998, Dynamics of Multibody Systems, Cambridge University Press, Cambridge, United Kingdom
  21. Oral, S. and Ider, S., 1997, 'Optimum Design of High-Speed Flexible Robotic Arms with Dynamic Behavior Constraints,' Computers & Structures, Vol. 65, No. 2, pp. 255-259 https://doi.org/10.1016/S0045-7949(96)00269-6
  22. Etman, L.F.P., Van Campen, D.H., and Schoofs, A.J.G., 1998, 'Design Optimization of Multibody Systems by Sequential Approximation,' Multibody System Dynamics, Vol. 2, pp. 393-415 https://doi.org/10.1023/A:1009780119839
  23. Haug, E.J., Choi, K.K., and Komkov, V., 1986, Design Sensitivity Analysis of Structural Systems, Academic Press, UK
  24. Arora, J.S. and Crdoso, J.B., 1992, 'Variational Principle for Shape Design Sensitivity Analysis,' AIAA Journal, Vol. 30, No. 2, pp. 538-547 https://doi.org/10.2514/3.10949