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

Abstract

Abstract 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.