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| Pseudospectral analysis of buckling and free vibration of rectangular Mindlin plates
Jinhee Lee
The Journal of Mechanical Science and Technology, vol. 23, no. 5, pp.1422-1427, 2009
Abstract : A study of buckling and free vibration of rectangular Mindlin plates is presented. The analysis is based on the pseudospectral
method, which uses basis functions that satisfy the boundary conditions. The equations of motion are collocated
to yield a set of algebraic equations that are solved for the critical buckling load and for the natural frequencies in
the presence of the in-plane loads. Numerical examples of rectangular plates with SS-C-SS-C boundary conditions are
provided for various aspect ratios and thickness ratios, which show good agreement with those of the classical plate
theory when the thickness ratio is very small.
Keyword : Free vibration; Buckling; Eigen values; Pseudospectral method; Mindlin plates |
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