Effects of Shear Deformation and Rotary Inertia on a Simple-free Anisotropic Plate on Vlasov Foundation Traversed by a Distributed Moving Mass

This paper investigates the effects of shear deformation and rotary inertia on the dynamics of an anisotropic plate with varying flexural rigidity and varying areal density. The anisotropic plate is resting on a Vlasov foundation, navigated by a distributed moving mass and is subject to simple-free-simple-free edge conditions. A solution based on Galerkin’s weighted residual method is used to transform the governing partial differential equation into a coupled ordinary differential equation. A modification of Struble’s asymptotic technique and the Laplace transform method is used to solve for the displacement of the plate. Results obtained with the aid of MATLAB programming show that shear deformation and rotary inertia have a significant displacement effect on the simple-free anisotropic plate. It was observed that increasing either the shear deformation or rotary inertia reduces the transverse displacement of the simple-free anisotropic plate. Shear deformation and rotary inertia should always be incorporated into models and solutions involving the dynamics of anisotropic plates traversed by moving masses so as to reduc e the incidences of structural defects.