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Volume-equalizing optimization method based on band-pass filter |
Received:September 26, 2023 Revised:November 20, 2023 |
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DOI:10.7511/jslx20230926002 |
KeyWord:topology optimization size control filtering method |
Author | Institution |
周演 |
大连理工大学宁波研究院, 宁波 ;大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
王光明 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
徐胜利 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
巩萃颖 |
中国航空发动机研究院, 北京 |
王博 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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Abstract: |
A band-pass filter is a novel method for size controlling technology in topology optimization.It will produce negative variables after filtering,so that the Heaviside projection method is necessary.This may cause the volume to oscillate,which is hard to control during the optimization procedure.A volume-equalizing optimization method is proposed in this paper.This new method can alleviate the oscillation problem during an optimization iteration due to the presence of a nonlinear projection function,which is achieved by adjusting the parameter of the nonlinear projection function to a value at which the volume constraint can be met in advance.The formulation of the new method and the derivation of the objective function’s sensitivity are presented.Numerical examples in which parameters from both a band-pass filter and nonlinear projection function very are analyzed by the new method and the original method.Optimization results,iteration history and computational time are compared between these two methods.Comparison results show that the present method can increase optimization efficiency and ensure the stability of iteration history. |
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