Effects of large amplitude, transverse shear and rotatory inertia on vibration of orthotropic elliptical plates

Abstract

This study is concerned with the large amplitude flexural vibration of orthotropic elliptical plates incorporating the effects of transverse shear and rotatory inertia. With the aid of von Kármán-type field equations expressed in terms of the three displacement components approximate solutions to elliptical plates with clamped immovable boundaries are obtained by Galerkin technique and numerical Runge-Kutta procedure. These von Kármán-type governing equations which include the effects of transverse shear and rotatory inertia reduce readily to those available in the literature when these effects are neglected. Present results are in good agreement with the existing solutions in the static and dynamic special cases. Numerical results for moderately thick elliptical plates indicate significant influences of the transverse shear deformation and rotatory inertia on the large amplitude vibration behavior.