TREATMENT OF MIXED AND NONUNIFORM BOUNDARY-CONDITIONS IN GDQ VIBRATION ANALYSIS OF RECTANGULAR-PLATES

This paper deals with the treatment of mixed and nonuniform boundary c onditions in the global method of generalized differential quadrature (GDQ) for the vibration analysis of rectangular plates. The discretize d mixed and nonuniform boundary conditions are directly substituted in to the governing equations in order to derive the eigenvalue equation system. The present approach overcomes the drawbacks of previous appro aches such as the delta-technique in treating the boundary conditions. The accuracy and efficiency of the present approach are studied by co mparing its solutions with available results. Some new solutions for p lates with nonuniform and mixed boundary conditions are presented, as well as details of the GDQ method. (C) 1998 Elsevier Science Ltd. All rights reserved.