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| Updating rule of variables for structural topology optimization based on CA |
| Received:December 03, 2012 Revised:March 15, 2013 |
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| DOI：10.7511/jslx201402004 |
| KeyWord:topology optimization cellular automata local control rule checkerboard patterns mesh dependency |
| Author | Institution |
| 杜义贤 |
三峡大学 机械与材料学院, 宜昌 ;水电机械设备设计与维护湖北省重点实验室, 宜昌 |
| 陈德 |
三峡大学 机械与材料学院, 宜昌 |
| 方子帆 |
三峡大学 机械与材料学院, 宜昌 ;水电机械设备设计与维护湖北省重点实验室, 宜昌 |
| 田启华 |
三峡大学 机械与材料学院, 宜昌 ;水电机械设备设计与维护湖北省重点实验室, 宜昌 |
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| Abstract: |
| In order to suppress numerical instability problems in topology optimization of continuum structures,a new local control rule is proposed by using the principle of error amplifier and feedback control in control system for reference.This control rule is a new kind of updating rule for variables without gradient constraints.The topology optimization model for continuum structures is established basing on the theory of Cellular Automata(CA).The optimization objective is referred to as the uniform strain density distribution.Topology optimization design of continuum structures in two dimensions is accomplished and the optimal material distribution in the design domain is thus obtained.The effect of different error amplification factors to optimizing results is discussed using three typical numerical examples.The analysis results illustrate the updating rule can avoid numerical stability problems such as checkerboard patterns and mesh dependency effectively. |