Abstract
To demonstrate the attractive features of rapid convergence, high accuracy, and computational efficiency, the modified differential quadrature method (DQM) is used to perform the free vibration analysis of thin rectangular and skew plates. The formulation and solution procedures can also be used for anisotropic material plates. Various combinations of boundary conditions are considered. Numerical results show that the modified DQM can yield accurate frequencies with relatively small number of grid points for plate with any combination of boundary conditions. For isotropic or orthotropic rectangular plates, the results are insensitive to the grid spacing. For anisotropic rectangular plate or isotropic skew plate with a large skew angle, however, the results are very sensitive to grid spacing. It is demonstrated that even with the widely used grid spacing, the DQM may yield inaccurate fundamental frequency. The modified DQM with Grid V only can yield reliable frequencies if a free edge is involved.
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