Maximizing band gaps in plate structures

Søren Halkjær, Ole Sigmund, Jakob Søndergaard Jensen

Research output: Contribution to journalJournal articleResearchpeer-review


Band gaps, i.e., frequency ranges in which waves cannot propagate, can be found in elastic structures for which there is a certain periodic modulation of the material properties or structure. In this paper, we maximize the band gap size for bending waves in a Mindlin plate. We analyze an infinite periodic plate using Bloch theory, which conveniently reduces the maximization problem to that of a single base cell. Secondly, we construct a finite periodic plate using a number of the optimized base cells in a postprocessed version. The dynamic properties of the finite plate are investigated theoretically and experimentally and the issue of finite size effects is addressed.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Issue number4
Pages (from-to)263-275
Publication statusPublished - 2006


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