NONLINEAR ANALYSIS OF LARGE DEFLECTIONS OF CLAMPED ORTHOTROPIC RECTANGULAR PLATE USING HYBRID METHOD

摘要

This paper analyses the large deflections of an orthotropic rectangular clamped thin plate. A hybrid method which combines the finite difference method and the differential transformation method is employed to reduce the partial differential equations describing the large deflections of the orthotropic plate to a set of algebraic equations. The simulation results indicate that significant errors are present in the numerical results obtained for the deflections of the orthotropic plate in the transient state when a step force is applied. The magnitude of the numerical error is found to reduce, and the deflection of the orthotropic plate to converge, as the number of sub-domains considered in the solution procedure increases. The current modeling results confirm the applicability of the proposed hybrid method to the solution of the large deflections of a rectangular orthotropic plate.