Dynamic response topological optimization method implemented by application of improved bi-directional evolutionary structural optimization (BESO) to equivalent static load method

Abstract

The invention relates to a dynamic response topological optimization method implemented by application of improved bi-directional evolutionary structural optimization (BESO) to an equivalent static load method. In the method, improved BESO is applied to the equivalent static load method to form an optimized iteration method for replacing an original variable density method, and establish a new convergence condition in order to improve a dynamic response topological optimization flow. By adopting the method, optimization time of a design circulation stage of which k is greater than 1 can be reduced effectively, and CPU (Central Processing Unit) total time needed by optimization in two examples is reduced by 21.8 percent and 25.3 percent compared with an original method; the method has the characteristics of high computation speed and simple optimization flow; along with the increase of external load acting points and the expansion of the optimization scale, design circulation times needed by optimization are increased, and the method has greater advantages.

Description

technical field [0001] The invention belongs to the field of structural dynamic response topology optimization, and in particular relates to a dynamic response topology optimization method of the equivalent static load method which improves the two-way progressive method. Background technique [0002] Topology optimization refers to seeking the optimal distribution of materials under given constraints [1] . Common topology optimization methods include variable density method, asymptotic structure method and homogenization method. Bend-soe M P and Kikuchi N [2] The homogenization method was proposed in 1988, Bend-soe M P [3] The variable density method was proposed in 1989. Progressive structural optimization (ESO) is a numerical method that has emerged in recent years to solve various structural optimization problems. It was proposed by Steven et al. [4] Proposed in 1993, this method gradually removes the invalid or inefficient materials in the structure so that the rem...

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Problems solved by technology

[0005] The purpose of the present invention is to solve the problems of long time-consuming single design cycle and complicated optimization process in the current equivalent static load method, and provide a dynamic response topology optimization method of the equivalent static load method that improves the two-way progressive method. The BESO method is applied to the equivalent static load method as an optimization iterative method, replacing the original variable density method, thereby improving calculation efficiency and simplifying the optimization process

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