Abstract
SummaryA general formulation based on a variational approach is used to study the static bending, vibration and stability of circular plates having mixed elastic rotational constraints at the boundary. A single displacement function suitable for these three classes of problems is used in a Ritz scheme to obtain static bending solutions and eigenvalues for various combinations of boundary parameters that exhibit symmetry about two axes. Results obtained are generally in good agreement with those available in the literature and in some cases represent an improvement on those previously reported. The lowest eigenvalues for the stability problem are presented for the first time.
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