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Multi-frequency topology optimization design and research of three dimensional structure

ZHUANG Cai-ao,RONG Jian-hua,LI Dong-bin(College of Automobile and Mechanic Engineering,Changsha University of Science and Technology,Changsha 410076,China)  
Based on the evolutionary structural optimization(ESO) and according to engineering real requirements,the research on the three dimensional structural multiple frequency optimizations is carried out paper.First,a multiple frequency optimization model is built,and a set of structural multi-frequency optimization sensitivity formula is derived.Then,a re-analysis technology for frequency sensitivities is adopted to reduce its calculation quantity.And an multi-frequency optimization procedure and a performance index of the optimization efficiency are given.The examples given show that the method proposed is applicable and effective.
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