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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2005 No.3NEW HMM ALGORITHM FOR TOPOLOGY OPTIMIZATION

Zuo Kongtian

 

Zhao Yudong

Department of Automotive Engineering, Tsinghua University,

Beijing 100084, China

 

Chen Liping

 

Zhong Yifang

School of Mechanical Engineering,

Huazhong University of Science
and Technology,

Wuhan 430074, China

 

Huang Yuying

Department of Mechanics,

Huazhong University of Science
and Technology,

Wuhan 430074, China

 

 

NEW HMM ALGORITHM FOR TOPOLOGY OPTIMIZATION*

 

Abstract: A new hybrid MMA-MGCMMA (HMM) algorithm for solving topology optimization problems is presented. This algorithm combines the method of moving asymptotes (MMA) algorithm and the modified globally convergent version of the method of moving asymptotes (MGCMMA) algorithm in the optimization process. This algorithm preserves the advantages of both MMA and MGCMMA. The optimizer is switched from MMA to MGCMMA automatically, depending on the numerical oscillation value existing in the calculation. This algorithm can improve calculation efficiency and accelerate convergence compared with simplex MMA or MGCMMA algorithms, which is proven with an example.

Key words: Topology optimization  Method of moving asymptotes (MMA)  Modified globally convergent version of MMA (MGCMMA)  HMM algorithm  Convergence

 


* This project is supported by National Basic Research Program of China (973 Program, No.2003CB716207) and National Hi-tech Research and Development Program of China (863 Program, No.2003AA001031). Received April 20, 2004; received in revised form March 7, 2005; accepted May 27, 2005

 

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