On the Nonlinear Oscillations of Plates Composed of Composite Materials

Abstract

In this work, the Berger's approach for large deflections and a modified Reissner's variational principle are exploited to treat the nonlinear dynamic problem of plates. A system of approximate equa tions which governs the large amplitude free vibrations of orthotropic, rectangular plates is presented, including the effects of rotatory inertia and transverse shear deformation. In the example, a simplified solution is presented for the primary lateral vibration of a simply supported plate. Numerical results are based upon the elastic constants of a composite material, having boron filaments 56% by volume, imbedded in an epoxy matrix.