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Convergence acceleration of guide weight method on solving topology optimization models using Epsilon algorithm
Published:2016-06-27 author:ZHANG Kun peng, WU Xiao ming Browse: 2360 Check PDF documents

Convergence acceleration of guide weight method on solving topology optimization models using Epsilon algorithm

ZHANG Kun peng, WU Xiao ming
(School of Aerospace Engineering, Xiamen University, Xiamen 361005, China)
 
 
Abstract: Aiming at the problem of too much times of iterations to get the convergence results satified the accuracy required at the process of solving topology optimization models, a convergence acceleration method was proposed using vector epsilon algorithm based on Guide weight method. In the procedure of calculate large continuous structural topology optimization problems, k iterations were done according to the guide weight method, then vector epsilon algorithm was applied to the sequence of last m terms to obtain a new vector which was regarded as a initial value of next iteration until convergence. The developed method was verified by two examples. The results indicate that epsilon algorithm can solve topology optimization problems with less iteration and high efficiency.
 
Key words: topology optimization; guide weight method; epsilon algorithm; convergence acceleration
 
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