1 : 3 Resonance is a possible cause of nonlinear panel flutter

Abstract

A nonlinear boundary value problem modeling oscillations of a plate in a supersonic gas flow is considered. Using the normal forms method, the method of integral manifolds for dynamical systems with infinite-dimensional phase space, and asymptotic methods combined with numerical techniques, it is shown that the 1: 3 resonance of eigenfrequencies of the linearized boundary value problem can be a cause of subcritical bifurcations and hard excitation of oscillations.