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Title of Journal: Sci China Technol Sci

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Abbravation: Science China Technological Sciences

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SP Science China Press

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DOI

10.1007/s00244-010-9603-5

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1862-281X

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A new solution for topology optimization problems

Authors: XinJun Liu ZhiDong Li Xiang Chen
Publish Date: 2011/03/14
Volume: 54, Issue: 6, Pages: 1505-
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Abstract

The guideweight method is introduced to solve two kinds of topology optimization problems with multiple loads in this paper The guideweight method and its Lagrange multipliers’ solution methods are presented first and the Lagrange multipliers’ solution method of problems with multiple constraints is improved by the dual method Then the iterative formulas of the guideweight method for topology optimization problems of minimum compliance and minimum weight are derived and corresponding numerical examples are calculated The results of the examples exhibits that when the guideweight method is used to solve topology optimization problems with multiple loads it works very well with simple iterative formulas and has fast convergence and good solution After comparison with the results calculated by the SCP method in Ansys one can conclude that the guideweight method is an effective method and it provides a new way for solving topology optimization problems

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