Bifurcation analysis for a functionally graded materials plate: two pairs of pure imaginary eigenvalues

In this paper, the dynamics in the vicinity of a compound critical point which is characterized by two pairs of pure imaginary eigenvalues are studied for a simply supported functionally graded materials rectangular plate. The solutions for equilibria and quasi-periodic motions are obtained and stab...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1411; no. 1; pp. 12013 - 12018
Main Authors Yu, Weiqin, Li, Na, Zhao, Shouwei
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2019
Subjects
Critical point
Eigenvalues
Functionally gradient materials
Motion stability
Physics
Rectangular plates
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Summary:In this paper, the dynamics in the vicinity of a compound critical point which is characterized by two pairs of pure imaginary eigenvalues are studied for a simply supported functionally graded materials rectangular plate. The solutions for equilibria and quasi-periodic motions are obtained and stability conditions of these solutions are presented. The numerical simulations confirm the analytical predictions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1411/1/012013