Transverse Vibration of an Orthotropic Plate with a Collection of Holes of Arbitrary Configuration and Mixed Boundary Conditions

Abstract

Within the framework of a refined theory that takes into account the transverse shear strains and the inertial components, we consider the problem of stationary vibration of an orthotropic bounded plate containing an arbitrary number of curvilinear holes. Mixed boundary conditions harmonic in time are analyzed both on the outer boundary of the plate and on the contours of the holes. The solution is constructed on the basis of the indirect boundary-element method. We use a sequential approach to the representation of Green functions. Integral equations are solved by the collocation method. We also present numerical results obtained for a rectangular plate with two circular holes.