Alternative Variant for the Explication the Reason for Hard Excitations of Oscillations in the Problem of the Nonlinear Panel Flutter

Abstract

A well know problem of oscillations for plate in ultrasonic gas flow in considered if the damping coefficient is sufficiently small. It is shown that the resonances 1:1, 1:2, 1:3 of proper frequencies lead to the appearance of unstable oscillations for those velocities of the flow for which the state of equilibrium remains stable. The investigation of the nonlinear value boundary problems does not use Galerkin’s method.

Keywords

• nonlinear panel flutter
• value boundary problem
• stability
• resonances
• hard excitation of oscillations
• bifurcations