Optimization of Steel Lattice Trusses Considering Members Stability

Abstract:

This paper extends the optimization model of space truss finite element method to planar steel lattice truss structures under multiple constraints involved with the strength and the stability of members as well as the mid span deflection based on sequential linear programming (SLP) and affine-scale dual algorithm with the size of members as the optimization variables and the minimum weight as the optimization objective. Algorithm implemented with programming, an example of square pyramid space grid is meant for the verification of the optimization performance that the algorithm and program extends an active control to the stability and the mid span deflection as well simultaneously during optimization. Moreover, stress and deflection constraints were enlarged and reduced, the optimization results indicate that more districted constraints bring about greater ultimate steel consumption, which extends a certification to the effectiveness of the proposal optimization model to deal with all kinds of stress and displacement constraints.

• Periodical: Applied Mechanics and Materials (Volumes 578-579)
• Pages: 97-105
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.578-579.97
• Online since: July 2014
• Authors: Jie Jiang Zhu*, Guo Bao Zhao, Yu Ming Sun
• Keywords: Affine-Scaling Dual Algorithm, Optimization, Sequence Linear Programming, Steel Wire Frames

References

[1] Mou Zaigen, Hou Xiaowu, Ning Pinghua et al. The network structure optimization design of discrete variables based on ANSYS [J]. Journal of University of Science and Technology Beijing, 2006 (5): 417-421(in chinese).

[2] Shen Yongqiang, Niu Zhongrong, Yi Qiang. Discrete variable optimization design of long-span spatial lattice shell steel structure based on [J]., 2010, 25 (136): 32-34, 21(in chinese).

[3] Mao Xianglian. Sequential linear programming method in the truss structure optimization design of [J]. Journal of Zhejiang Institute of technology, 1993, 59 (2): 55 - 64(in chinese).

[4] Du Jianming, Zhang Weisheng, Guo Xu. The problem of sequence linear programming method [J]. engineering mechanics, optimization of truss structure based on the SAND formula 2012, 29 (3): 21 - 26(in chinese).

[5] Zhao Guobao, Zhu Jiejiang, Yang Xiao. Improved sequential linear programming method of space truss structure optimization design based on [J]. Sichuan building research, 2012, 38 (1): 24-27(in chinese).

[6] Zhu Jiejiang, Luo Feng. Optimization of [J]. steel structure, steel truss strength and deformation constraints based on 2012, 27 (3): 11 - 16(in chinese).

[7] Jian Hongping, Liu Guangzong, Cai Wenhao. Large span space truss structure optimization design of [J]. Nonferrous Metallurgical Design and research, 2001, 22(4): 33-41(in chinese).

[8] Li Wei. Linear optimization and the extension of [M]. Beijing: National Defence Industry Press, 2011(in chinese).

[9] JGJ 7—2010 Technical specification for space grid structure[S]. Beijing: China Building Industry Press, 2010(in chinese).

[10] GB 50017—2003 Code for design of steel structure [S]. Beijing: China Planning Press, 2003(in chinese).