Topology optimization of truss structures with systematic reliability constraints under multiple loading cases |
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Authors: | Chen Jianjun Cao Yibo and Sun Huaian |
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Institution: | (1) School of Electronic and Mechanical Engineering, Xidian University, 710071 Xi'an, China |
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Abstract: | In this paper, a mathematical model for topology optimization of truss structures with constraints of displacement and system
reliability under multiple loading cases is constructed. In order to avoid the difficulty of computing the structure's system
reliability, a solving approach is presented in which the failure probability of system is divided into the sum of all bars'
failure probability by means of reliability distribution. In addition, by drawing into the reliability safety factor and the
fundamental relationship in structural mechanics, all probability constraints of displacement and stress are equivalently
displayed as conventional form and linear function of the design variables. The optimization problem with multiple constraints
is treated by the compact constraint tactics and is solved by the improved simplex method. The examples show that the approach
proposed in this paper is feasible and efficient.
The project supported by the National Natural Science Foundation of China. |
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Keywords: | multiple loading cases truss structures systematic reliability reliability distribution probability constraints topology optimization |
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