A numerical approach to vibrations of orthotropic plates using Gureen's function for a static bending problem. (2nd Report, Application to transient vibrations).

Abstract

An approach is proposed for the estimation of free, forced and transient vibrations of an orthotropic plate by using Green's function for a static bending problem. In the previous paper, free and forced vibrations of a simply supported orthotropic rectangular plate were discussed to check the accuracy of the approach. As numerical examples, a free vibration of a rectangular plate with a mass attached in the center was discussed. In the present paper, a transient vibration of an orthotropic plate is discussed by applying Wilson's θ method to a set of discrete equations of motion. First, to discuss the accuracy, numerical computations are carried out for a simply supported rectangular plate subject to a uniformly distributing stepping load. Next, the approach is applied to a simply supported rectangular plate with an attached mass.