Evolutionary structural topology optimization designs with multiple displacement constraints

doi:10.16731/j.cnki.1671-3133.2017.08.004

Abstract

Abstract: The Evolutionary Structural Optimization(ESO) method is easily utilized to be programmed,and is of wide engineering applications,and may be adopted to obtain the optimum structure with black and white distribution material property.However,it’s difficult to solve the problem of multi-constrained topology optimization by using it.To extend this method to the case of multi-constrained topology optimization,for the problem of topology optimization with multiple displacement constraints,the relationship between the stiffness and the topology variables is built by using the Rational Approximation for Material Properties(RAMP),and a series of approximate models and a smooth dual algorithm are constructed to solve Lagrange multipliers.Then,the calculation formula of element sensitivities and a novel evolutionary structural optimization algorithm are given.Finally,two examples are presented to demonstrate the validity and effectiveness of the proposed method.

Key words: multiple displacement constraints, evolutionary structural optimization, topology optimization, Lagrange multiplier

CLC Number:

TH122

Xie Yajun , Rong Jianhua , Yu Liaohong , Zhu Haifeng , Li Fangyi. Evolutionary structural topology optimization designs with multiple displacement constraints[J]. Modern Manufacturing Engineering, 2017, 443(8): 19-28.

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