Vibration analysis of rectangular Mindlin plates with mixed edge supports

This paper applies a newly developed DSC-Ritz element method to analyse the free vibration of rectangular Mindlin plates with mixed edge support conditions. The discrete singular convolution (DSC) delta type wavelet kernel is employed as the Ritz trial functions and the deletion technique is applied to handle the matrices of the eigenvalue problem associated with the mixed boundary constraints. The flexibility of the novel approach passes through a bottleneck of the global DSC-Ritz method to treat the kinematic supporting edges with assorted discontinuities. A series of numerical experiments for rectangular Mindlin plates with various edge discontinuities, plate thicknesses and aspect ratios is tested. To verify the correctness of the method, comparison studies are carried out against established vibration frequencies of rectangular plates with mixed edge supports. New vibration solutions for moderately thick rectangular plates with mixed free, simply supported and clamped edge conditions are presented in the paper.