TY - GEN
T1 - The local approximation method for structural optimization
AU - Nie, Yi
AU - Wang, Yan
AU - Sun, Wei
AU - He, Yan
AU - Hao, Jing
AU - Huang, Tao
PY - 2014/1/1
Y1 - 2014/1/1
N2 - The local approximation method exhibits many advantage features and it is popular to a broad class of structural optimization problems. In this paper, both the mathematical modeling and case study of the local approximation method were studied. The theoretical analysis indicates that the primary optimization problem can be replaced with a sequence of explicit approximate problems by using the local approximation method. The explicit subproblems are convex and separable, which can be solved efficiently by using a dual method approach. The topology optimization of a guide rail design is then solved to testify the proposed method, which has been coded by Altair OptiStruct. The optimized design of a widely used guide rail with an "I" shape cross section is obtained and compared with the original design. The numerical results have shown that the local approximation method can effectively solve the structure optimization problems, especially the ones with hundreds of design variables or constraints.
AB - The local approximation method exhibits many advantage features and it is popular to a broad class of structural optimization problems. In this paper, both the mathematical modeling and case study of the local approximation method were studied. The theoretical analysis indicates that the primary optimization problem can be replaced with a sequence of explicit approximate problems by using the local approximation method. The explicit subproblems are convex and separable, which can be solved efficiently by using a dual method approach. The topology optimization of a guide rail design is then solved to testify the proposed method, which has been coded by Altair OptiStruct. The optimized design of a widely used guide rail with an "I" shape cross section is obtained and compared with the original design. The numerical results have shown that the local approximation method can effectively solve the structure optimization problems, especially the ones with hundreds of design variables or constraints.
KW - Local approximation method
KW - Mathematical modeling
KW - Structural optimization
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=84904389955&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.575.854
DO - 10.4028/www.scientific.net/AMM.575.854
M3 - Conference contribution with ISSN or ISBN
AN - SCOPUS:84904389955
SN - 9783038351405
T3 - Applied Mechanics and Materials
SP - 854
EP - 858
BT - Materials Engineering and Automatic Control III
PB - Trans Tech Publications Ltd
T2 - 3rd International Conference on Materials Engineering and Automatic Control, ICMEAC 2014
Y2 - 17 May 2014 through 18 May 2014
ER -