Treatment of mixed and nonuniform boundary conditions in GDQ vibration analysis of rectangular plates

Abstract

This paper deals with the treatment of mixed and nonuniform boundary conditions in the global method of generalized differential quadrature (GDQ) for the vibration analysis of rectangular plates. The discretized mixed and nonuniform boundary conditions are directly substituted into the governing equations in order to derive the eigenvalue equation system. The present approach overcomes the drawbacks of previous approaches such as the δ-technique in treating the boundary conditions. The accuracy and efficiency of the present approach are studied by comparing its solutions with available results. Some new solutions for plates with nonuniform and mixed boundary conditions are presented, as well as details of the GDQ method. © 1998 Elsevier Science Ltd. All rights reserved.