Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)
- Volume 27 Issue 8
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- Pages.1363-1370
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- 2003
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- 1226-4873(pISSN)
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- 2288-5226(eISSN)
DOI QR Code
Structural Shape Optimization under Static Loads Transformed from Dynamic Loads
동하중으로부터 변환된 등가정하중을 통한 구조물의 형상최적설계
- Published : 2003.08.01
Abstract
In structural optimization, static loads are generally utilized although real external forces are dynamic. Dynamic loads have been considered in only small-scale problems. Recently, an algorithm for dynamic response optimization using transformation of dynamic loads into equivalent static loads has been proposed. The transformation is conducted to match the displacement fields from dynamic and static analyses. The algorithm can be applied to large-scale problems. However, the application has been limited to size optimization. The present study applies the algorithm to shape optimization. Because the number of degrees of freedom of finite element models is usually very large in shape optimization, it is difficult to conduct dynamic response optimization with the conventional methods that directly threat dynamic response in the time domain. The optimization process is carried out via interfacing an optimization system and an analysis system for structural dynamics. Various examples are solved to verify the algorithm. The results are compared to the results from static loads. It is found that the algorithm using static loads transformed from dynamic loads based on displacement is valid even for very large-scale problems such as shape optimization.
Keywords
Dynamic Load;Static Load;Displacement;Equivalent Force;Shape Optimization
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References
- Kang, B.S., 2002, On Optimality of Solution by Equivalent Static Load Method and Its Application to Flexible Multibody Dynamic System, Ph. D. Thesis, Hanyang University, Korea
- GENESIS User Manual verson 7.0, 2001, VMA Engineering
- Hibbeler, R.C., 1996, Mechanics of Materials, Prentice Hall
- Choi, W.S., 1994, Transformation of a Dynamic Load into on Equivalent Static Load and Shape Optimization of the Rood Arm, M.S. Thesis, Hanyang University, Korea. (In Korean)
- Haftka, R.T., Gurdal, Z., 1991, Elements of Structural Optimization, Kluwer Academic Publishers, The Netherlands
- Kang, B.S., Choi, W.S. and Park, G.J., 2001, 'Structural Optimization under Equivalent Static Loads Transformed form Dynamic Loads Based on Displacement,' computer & Structures, Vol. 79, No. 2, pp. 145-154 https://doi.org/10.1016/S0045-7949(00)00127-9
- Choi, W.S. and Park, G.J., 2002, 'Structural Optimization Using Equivalent Static Loads at All the Time Intervals,' Computer Methods in Applied Mechanics and Engineering, Vol. 191, pp. 2105-2122 https://doi.org/10.1016/S0045-7825(01)00373-5
- Lim, O.K. and Arora, J.S., 1987, 'Dynamic Response Optimization Using An Active Set RQP Algorithm,' Int. J. for Num. Meth. In Engng., Vol. 24, pp. 1827-1840 https://doi.org/10.1002/nme.1620241002
- Paeng, J.K. and Arora, J.S., 1989, 'Dynamic Response Optimization of Mechanical Systems with Multiplier Methods,' ASME Journal of Mechanism, Transmission and Automation in Design, Vol. 37, pp. 413-430
- Feng, T.T., Arora, J.S., and Haug, E.J., 1977, 'Optimal Structural Design under Dynamic Loads,' Int. J. for Num. Mech. In Eng., Vol. 11, pp. 39-62 https://doi.org/10.1002/nme.1620110106
- Haug, E.J. Arora, J.S., and Feng, T.T., 1978, 'Sensitivity Analysis and Optimization of Structures for Dynamic Response,' J. of Mech. Design, Vol. 100, pp. 311-318 https://doi.org/10.1115/1.3453917
- Hsieh, C.C., Arora, J.S., 1984, 'Design Sensitivity Analysis and Optimization of Dynamic Response,' Comput. Meths. Appl. Mech. Engng. Vol. 43, No. 2, pp. 195-219 https://doi.org/10.1016/0045-7825(84)90005-7
- Haug, E.J., Arora, J.S., 1979, Applied Optimal Design, Wiley & Sons, New York, U.S.A.