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Journal of Zhejiang University SCIENCE A 2001 Vol.2 No.2 P.142~145

http://doi.org/10.1631/jzus.2001.0142


APPLICATION OF VIRTUAL LAMINATED ELEMENT IN THE TOPOLOGY OPTIMIZATION OF STRUCTURES


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

Affiliation(s):  Dept. of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s): 

Key Words:  virtual laminated element, evolutionary structural optimization, topology optimization, layer, segment, block


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XU Xing, LI Fang, LING Dao-sheng. APPLICATION OF VIRTUAL LAMINATED ELEMENT IN THE TOPOLOGY OPTIMIZATION OF STRUCTURES[J]. Journal of Zhejiang University Science A, 2001, 2(2): 142~145.

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Abstract: 
This paper presents the topology optimization design of structures composed of plane stress elements. The authors' proposed method of topology optimization by virtual laminated element is based on the evolutionary structural optimization (ESO) method of linear elasticity, but dose not require formation of as many elements as the conventional ESO method. The presented method has the important feature of reforming the stiffness matrix in generating optimum topology. Calculation results showed that this algorithm is simple and effective and can be applied for topology optimization of structures.

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Reference

[1] Bendsoe, M. P. and Kikuchi, N., 1988. Generating optimal topologies in structural design using a homogenization method. Comput. Appl.Mech. Engrg., 71: 197-224.

[2] Guan, H., Steven, G. P. and Xie Y. M., 1999. Evolutionary structural optimization incorporating tension and compression materials. Advances in Structural engineering, 2(4): 273-287.

[3] Hemp W.S., 1973. Michell's structural continua. In:Optimum Structures, Chap.4. Clarendon Press, Oxford.

[4] Ling Daosheng, Zhang Jingjiang, Xiang Yiqiang et al., 1998. The Method of virtual laminated element and its application in bridge engineering. China Civil Engineering Journal, 31(3): 22-29.

[5] Suzuki, K. and Kikuchi, N., 1991, A Homogenization method for shape and topology optimization. Comput. Appl. Mech. Engrg., 93: 291-318.

[6] Wu Qiang, 1997. Finite Element Analysis for Laminated Structure with Visco-elastic Layer. Doctor's Thesis, Zhejiang University, Hangzhou.

[7] Xie, Y. M. and Steven, G. P., 1993. A simple evolutionary procedure for structural optimization. Comput. & Struct., 49(5): 885-896.

[8] Xie, Y. M. and Steven, G. P., 1996. Evolutionary structural optimization for dynamic problem. Comput. & Struct., 58: 1067-1073.

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