Free vibration analyses of thin sector plates by the new version of differential quadrature method Original Research Article

The new version of differential quadrature (DQ) method is extended to analyze the free vibration of thin sector plates with various sector angles and six combinations of boundary conditions. Detailed formulations are given. Various numerical examples are studied. Comparisons are made with existing analytical and/or numerical data. Numerical results indicate that convergence can be achieved with increasing in number of grid points and accurate results could be obtained with 9 × 9 gird or even higher grid by using the extended DQ method for the cases considered.