Effects of large amplitude, shear and rotatory inertia on vibration of rectangular plates

Abstract

In this paper, the governing equations applicable for the large amplitude free, flexural vibration of orthotropic rectangular plates are formulated in terms of the displacement components u, v and w. The formulation and the solutions presented for the cases of isotropic and orthotropic simply supported rectangular plates incorporate the effects of the transverse shear deformation and the rotatory inertia on the large amplitude vibration behaviour. The influences of shear and rotatory inertia are significant in the case of moderately thick plates undergoing large amplitude vibration. The method suggested here does not require the use of the Berger approximation for plates with immovable in-plane edge conditions. A comparison with the results available in the literature indicates the inadequacy of the approach adopted earlier for the study of the large amplitude free flexural vibration of orthotropic rectangular plates.