Vibration analysis of irregularly shaped plates by the spline-based differential quadrature method

The paper deals with the free vibration analysis of irregularly shaped plates using differential quadrature method (DQM). In the paper some effective approaches to deal with the problem of mapping irregular area into regular one are presented. These approaches are used in conjunction with a branch of the DQM based on spline interpolation to solve the free vibration problem of thin, isotropic plates. The use of this type of interpolation in the DQM ensures the stability of the method. As the results, the convergent tests of the natural frequencies are presented and compared with the results from conventional DQM.