TY - JOUR
T1 - DSC-Ritz element method for vibration analysis of rectangular Mindlin plates with mixed edge supports
AU - Xiang, Y.
AU - Lai, S. K.
AU - Zhou, L.
AU - Lim, C. W.
PY - 2010
Y1 - 2010
N2 - Based on Mindlin's first-order shear deformable plate theory, a DSC-Ritz element method is developed for the free vibration analysis of moderately thick rectangular plates with mixed supporting edges. The rationale of the present approach is not only to apply the discrete singular convolution (DSC) delta type wavelet kernel as a trial function with the Ritz method, but also to incorporate the method in finite elements in order to handle the mixed boundary constraints. The approach is novel and flexible as it passes through a bottleneck of the global DSC-Ritz method in treating the kinematic supporting edges with assorted discontinuities. A series of numerical simulations for rectangular Mindlin plates with various edge support discontinuities, plate thicknesses and aspect ratios are presented. For verification, the vibration frequencies thus established are directly compared with those reported in the open literature. New sets of numerical results for several other cases of moderately thick plates with mixed simply supported, clamped and free edges are presented and discussed in detail.
AB - Based on Mindlin's first-order shear deformable plate theory, a DSC-Ritz element method is developed for the free vibration analysis of moderately thick rectangular plates with mixed supporting edges. The rationale of the present approach is not only to apply the discrete singular convolution (DSC) delta type wavelet kernel as a trial function with the Ritz method, but also to incorporate the method in finite elements in order to handle the mixed boundary constraints. The approach is novel and flexible as it passes through a bottleneck of the global DSC-Ritz method in treating the kinematic supporting edges with assorted discontinuities. A series of numerical simulations for rectangular Mindlin plates with various edge support discontinuities, plate thicknesses and aspect ratios are presented. For verification, the vibration frequencies thus established are directly compared with those reported in the open literature. New sets of numerical results for several other cases of moderately thick plates with mixed simply supported, clamped and free edges are presented and discussed in detail.
UR - http://handle.uws.edu.au:8081/1959.7/553020
U2 - 10.1016/j.euromechsol.2009.12.007
DO - 10.1016/j.euromechsol.2009.12.007
M3 - Article
SN - 0997-7538
VL - 29
SP - 619
EP - 628
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
IS - 4
ER -