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Buckling mode constraints for topology optimization using eigenvector aggregates
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DOI：10.1016/j.cma.2024.117145.png)
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Buckling -constrained structural design problems have conventionally prioritized optimizing the buckling load factor with less consideration given to the buckling mode shape. In this work, mode shape constraints are imposed within a topology optimization problem using an eigenvector aggregate constraint that is a weighted sum of homogeneous quadratic functions of the linearized buckling eigenvectors. A generalized formulation of the eigenvector aggregate is introduced, extending previous work. A new adjoint-based derivative evaluation technique is derived that is valid even in the presence of repeated eigenvalues. Numerical examples, including a clamped beam, a compressed column, and a square plate, demonstrate the effectiveness of the proposed approach. The results show the ability of the eigenvector aggregate to handle repeated eigenvalues, enable design space exploration, and capture mode shape switching.
Keyword:
Topology optimization
Buckling analysis
Eigenvector constraints
Eigenvector aggregate
Repeated eigenvalues
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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Topology optimization with linearized buckling criteria in 250 lines of Matlab在Matlab的250线中使用线性化屈曲准则进行拓扑优化
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