Optimal Topological Design of Periodic Structures for Natural Frequencies
Publication: Journal of Structural Engineering
Volume 137, Issue 10
Abstract
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.
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Published In
Journal of Structural Engineering
Volume 137 • Issue 10 • October 2011
Pages: 1229 - 1240
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 19, 2009
Accepted: Nov 12, 2010
Published online: Sep 15, 2011
Published in print: Oct 1, 2011
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