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Received: 2002-03-28

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Bio-Design and Manufacturing  2021 Vol.4 No.2 P.202~206

10.1631/jzus.2003.0202


Shape optimization of plate with static and dynamic constraints via virtual laminated element


Author(s):  LI Fang, XU Xing, LING Dao-sheng

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   lif1110@163.com

Key Words:  Optimum design, Virtual laminated element method(VLEM), Behavior model technique, Structural reanalysis


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LI Fang, XU Xing, LING Dao-sheng. Shape optimization of plate with static and dynamic constraints via virtual laminated element[J]. Journal of Zhejiang University Science D, 2021, 4(2): 202~206.

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author="LI Fang, XU Xing, LING Dao-sheng",
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Abstract: 
The virtual laminated element method (VLEM) can resolve structural shape optimization problems with a new method. According to the characteristics of VLEM, only some characterized layer thickness values need be defined as design variables instead of boundary node coordinates or some other parameters determining the system boundary. One of the important features of this method is that it is not necessary to regenerate the FE(finite element) grid during the optimization process so as to avoid optimization failures resulting from some distortion grid elements. The thickness distribution in thin plate optimization problems in other studies before is of stepped shape. However, in this paper, a continuous thickness distribution can be obtained after optimization using VLEM, and is more reasonable. Furthermore, an approximate reanalysis method named "behavior model technique" can be used to reduce the amount of structural reanalysis. Some typical examples are offered to prove the effectiveness and practicality of the proposed method.

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Reference

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[4]Ling, D.S., Zhang, J.J., Xiang, Y.Q. and Xu, X., 1998. The method of virtual laminated element and its application in bridge engineering. China Civil Engineering Journal, 31(3):22-29(in Chinese).

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[6]Sienz, J. and Hinton, E.,1997. Reliable structural optimization with error estimation, adaptivity and robust sensitivity analysis. Comput.&Struct.,64(1-4): 31-63.

[7]Wu, Q., 1997. Finite element analysis for laminated structure with visco-elastic layer. Doctor's Thesis, Zhejiang University(in Chinese).

[8]Xu, X. and Ling, D.S., 2001. Degenerated solid elements. ACTA MECHANICA SOLIDA SINICA, Special issue for computational mechanics, 22: 1-12(in Chinese).

[9]Zienkiewicz, O. C. and Campbell, J. S., 1973. Shape optimization and sequencial linear programming.In:Optimization Structural Design, John Wiley & Sons, London.

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