Open AccessBifurcation analysis for a functionally graded materials plate: two pairs of pure imaginary eigenvalues
Author(s) -
Wenjun Yu,
Na Li,
Shouwei Zhao
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1411/1/012013
Subject(s) - eigenvalues and eigenvectors , bifurcation , stability (learning theory) , mathematical analysis , the imaginary , bifurcation theory , point (geometry) , mathematics , physics , geometry , computer science , nonlinear system , psychology , quantum mechanics , machine learning , psychotherapist
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.