Evaluation of fundamental vibration frequency of an orthotropic bending plate by using an iterative approach

The fundamental vibration frequency of an orthotropic bending plate is investigated by using an iterative approach. The finite difference method is used to solve the problem. The frequency and the deflection mode are adjusted and changed simultaneously in the iteration. The boundary conditions for the clamped edge case, simply supported case and free edge case are satisfied by assuming some values of deflection at the outside nodes which have relations with those at the inner nodes. Numerical examples are given to demonstrate the efficiency of the method.