Influence of different parameters of filter function in the form of power function on the convergence rate of laminate topology optimization

doi:10.19936/j.cnki.2096-8000.20220628.001

Abstract

Abstract: The role of the filter function in the establishment and solution of the mathematical model for composite laminates topology optimization based on independent continuous mapping method, and the influence of different parameters of the filter function in the form of power function on the optimization convergence rate is studied in this paper. Through introducing the filter function in the form of power function, the mathematical model of topology optimization with the minimum mass as the objective function under displacement constraint is established, the sensitivity formulas of the objective function and the constraint function is deduced, and the sequential quadratic programming algorithm is used to solve. The results show that the optimal convergence rate varies with the parameters of the filter function in the form of power function, and choosing appropriate parameters can improve the convergence rate. At the same time, improving the convergence rate can reduce the dependence of the mapping inversion result on the given replacement threshold, reduce the difference between the objective function of the continuous solution and the discrete solution, and increase the result reliability.

Key words: filter function, convergence rate, ICM method, topology optimization, composite laminate

CLC Number:

TB332

YAN Jin-shun, SUN Peng-wen, MA Zhi-kun, ZHAO Xiong-xiang, DONG Xin-hong. Influence of different parameters of filter function in the form of power function on the convergence rate of laminate topology optimization[J]. COMPOSITES SCIENCE AND ENGINEERING, 2022, 0(6): 5-9.

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