Abstract
In many practical structures, physical parameters of material and applied loads have random property. To optimize this kind of structures, an optimum mathematical model was built. This model has reliability constraints on dynamic stress and displacement and upper & lower limits of the design variables. The numerical characteristic of dynamic response and sensitivity of dynamic response based on probability of structure were deduced respectively. By equivalent disposing, the reliability constraints were changed into conventional forms. The SUMT method was used in the optimization process. Two examples illustrate the correctness and practicability of the optimum model and solving approach.
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References
CHEN Jian-jun, CHE Jian-wen, CUI Ming-tao,et al. Review on structural dynamic optimum design[J].Advances in Mechanics. 2001,32(2):181–192. (in Chinese)
Kapoor M P, Kumarasamy K. Optimum configuration of transmission towers in dynamic response regime[A]. In: Topping B H V ed.Proceedings International Symposium on Optimum Structural Design[C]. Tucson: Ariz, Grodon & Breach, 1981,185–189.
Chahande A I, Arora J S. Development of a multiplier method for dynamic response optimization problem[J].Structural Optimization, 1993,5(6):69–78.
Pantelides C P, Tzan S R. Optimal design of dynamically constrained structures[J].Computers & Structures, 1997,62(1):141–150.
Cheng G D, Kang Z, Wang G. Dynamic optimization of a turbine foundation[J].Structural Optimization, 1997,13(4):244–249.
SUN Huan-chun, SHI Lian-shuan, CHAI San. Discrete optimization of structures under dynamic stress and displacement constraints[J].Chinese Jounal of Computational Mechanics, 1997,14(supplement): 723–726. (in Chinese)
GU Yuan-xian, KANG Zhan, GUAN Zhen-qun. Development of MCADS system & its application in the dynamic optimization of large scale space[J].Chinese Journal of Computcational Mechanics, 1997,14(supplement):589–594. (in Chinese)
Rao S S. Optimization of airplane wigng strctures under gust loads[J].Computers & Structures, 1985,21(3):741–749.
Jha V K. Optimization of aerospace structures subjected to random vibration and fatigue constraints [J].The Shock & Vibration Bulletin, 1986,56(part2):193–200.
CHEN Su-huan, SONG Da-tong. Stochastic optimization for vibration system of mutil-degrees of freedom[J].Acta Mechanica Sinica, 1994,29(4):432–439. (in Chinese)
CHEN Jian-jun, CHE Jian-wen, SUN Huai-an,et al. Probability dynamic of truss structures[J].Structural Engineering & Mechanics. 2002,13(2):231–239.
CHENG Jian-jun, DUAN Bao-yan. Structural optimization by displaying the reliability constraints [J].Computers & Structures, 1994,50(6):777–783.
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Communicated by Zuphang Jing-hui
Foundation item: the National Natural Science Foundation of China (59500596)
Biographies: Dupai Jun (1963−), E-mail: jjchen@xidian.edu.cn Cuphen Jian-jun (1951−) E-mail: jjchen@xidian.edu.cn
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Jun, D., Jian-jun, C., Yong-gong, L. et al. Dynamic response optimization design for engineering structures based on reliability. Appl Math Mech 24, 43–52 (2003). https://doi.org/10.1007/BF02439376
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DOI: https://doi.org/10.1007/BF02439376