Large amplitude vibration of circular sandwich plates

Abstract

In this paper, fundamental equations of the axisymmetric large amplitude free vibration for circular sandwich plates are derived by means of Hamilton principle. In most cases, the sandwich plates are composed of very thin faces, then the preceding fundamental equations are simplified considerably. For an illustrative example, a circular sandwich plate with edge clamped but free to slip is considered, and then we got a pure analytic solution of the axisymmetric large amplitude free vibration with the aid of the modified iteration method, and derived an analytic relation for the amplitude-frequency response.