The effect of transverse shear deformation on the large-amplitude free vibrations of plates and cylindrical panels

Date

1972

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

In the present investigation, the equations of nonlinear flexural vibrations of plates and cylindrical panels are derived with the effects of rotatory inertia and transverse shear deformation taken into account. The Galerkin technique is used to solve the nonlinear differential equations. The one-term approximate solutions of the free vibrations of a.rectangular plate and cylindrical panel is found. With the assumption that the in-plane inertia and rotatory inertia effects are negligible, it is found that the transverse shear deformation has greater influence on the free vibrations of transversely isotropic plates with large E/Ge ratio (such as pyrolytic graphite material) than on isotropic plates. The same is true for a cylindrical panel.

Description

Keywords

Citation