Optimal Topological Design of Periodic Structures for Natural Frequencies

被引:37
作者
Zuo, Zhi Hao [1 ]
Xie, Yi Min [1 ]
Huang, Xiaodong [1 ]
机构
[1] RMIT Univ, Sch Civil Environm & Chem Engn, Melbourne, Vic, Australia
关键词
Topology optimization; Bidirectional evolutionary structural optimization (BESO); Eigenvalue; Natural frequency; Periodic structures; Repetitive structures; INTERFACE PROBLEMS; CONTINUUM STRUCTURES; OPTIMIZATION; HOMOGENIZATION; MICROSTRUCTURES; MAXIMIZATION; EIGENVALUES; SCALE;
D O I
10.1061/(ASCE)ST.1943-541X.0000347
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This paper proposes a method for topology optimization of periodic structures on dynamic problems by using an improved bidirectional evolutionary structural optimization (BESO) technique. Frequency optimization and frequency-stiffness optimization are formulated for periodic continuum structures at the macroscopic level under arbitrary loadings and boundaries. Numerical instabilities that occur in common topological frequency optimization are dealt with by eliminating singular and single-hinged elements and removing alternative element groups in case of sudden drops of the relevant frequency. Layout periodicity of the optimal design is guaranteed by creating a representative unit cell (RUC) on the basis of a user-defined cell mode and averaging the sensitivities from all unit cells into the RUC. The capability and effectiveness of the proposed approach are demonstrated by numerical experiments with various cell modes. DOI: 10.1061/(ASCE)ST.1943-541X.0000347. (C) 2011 American Society of Civil Engineers.
引用
收藏
页码:1229 / 1240
页数:12
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