Application of a new differential quadrature methodology for free vibration analysis of plates

摘要: A new methodology is introduced in the differential quadrature (DQ) analysis of plate problems. The proposed approach distinct from other DQ methods by employing multiple boundary conditions a different manner. For structural and problems, employs displacement within domain as only degree freedom, whereas along boundaries displacements well second derivatives with respect to co-ordinate variable normal computational are considered degrees freedom for problem. Employing such procedure would facilitate be implemented exactly conveniently. In order demonstrate capability methodology, all cases free vibration rectangular isotropic plates, which conventional have had some sort difficulty arrive at converged or accurate solution, carried out. Excellent convergence behaviour accuracy comparison exact results and/or obtained approximate were obtained. analogous formulation general derived each individual condition format imposing given devised. It must emphasized that efforts this not more than methods. Copyright © 2002 John Wiley & Sons, Ltd.