Nonlinear vibration of circular corrugated plates (Q1089176)

Using Hamilton's principle, we derive the variational equations for circular corrugated plates. Taking the central maximum amplitude of circular corrugated plates as the perturbation parameter and adopting the perturbation variational method, in the first-order approximation, we obtain the natural frequencies of linear vibrations of circular corrugated plates and then, the nonlinear natural frequencies of the corrugated plates. By comparing with the linear results, the attempt of this paper is proved feasible.