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A Modified Bi-Directional Evolutionary Structural Optimization Procedure with Variable Evolutionary Volume Ratio Applied to Multi-Objective Topology Optimization Problem

Xudong Jiang1,*, Jiaqi Ma1, Xiaoyan Teng2
1 School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin, 150080, China
2 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, China
* Corresponding Author: Xudong Jiang. Email:
(This article belongs to this Special Issue: Computer Modeling in Ocean Engineering Structure and Mechanical Equipment)

Computer Modeling in Engineering & Sciences 2023, 135(1), 511-526. https://doi.org/10.32604/cmes.2022.022785

Received 26 March 2022; Accepted 24 May 2022; Issue published 29 September 2022

Abstract

Natural frequency and dynamic stiffness under transient loading are two key performances for structural design related to automotive, aviation and construction industries. This article aims to tackle the multi-objective topological optimization problem considering dynamic stiffness and natural frequency using modified version of bi-directional evolutionary structural optimization (BESO). The conventional BESO is provided with constant evolutionary volume ratio (EVR), whereas low EVR greatly retards the optimization process and high EVR improperly removes the efficient elements. To address the issue, the modified BESO with variable EVR is introduced. To compromise the natural frequency and the dynamic stiffness, a weighting scheme of sensitivity numbers is employed to form the Pareto solution space. Several numerical examples demonstrate that the optimal solutions obtained from the modified BESO method have good agreement with those from the classic BESO method. Most importantly, the dynamic removal strategy with the variable EVR sharply springs up the optimization process. Therefore, it is concluded that the modified BESO method with variable EVR can solve structural design problems using multi-objective optimization.

Keywords

Bi-directional evolutionary structural optimization; variable evolutionary volume ratio; multi-objective optimization; weighted sum; topology optimization

Cite This Article

Jiang, X., Ma, J., Teng, X. (2023). A Modified Bi-Directional Evolutionary Structural Optimization Procedure with Variable Evolutionary Volume Ratio Applied to Multi-Objective Topology Optimization Problem. CMES-Computer Modeling in Engineering & Sciences, 135(1), 511–526.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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