FREE VIBRATION OF THIN RECTANGULAR PLATES BY A MIXED FINITE ELEMENT.
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Linear and quadratic rectangular elements based on a Reissner type variational statement of thin plate bending are applied to free vibration of plates. The elements are based on a weak statement of the two normal moment-displacement relations and the moment equilibrium equation in terms of the two normal moments and the displacement. These elements are algebraically simple and yield better accuracies when compared with other finite elements. These elements are applied to compute natural frequencies of rectangular plates with various edge conditions.
American Society of Mechanical Engineers (Paper)
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Reddy, J. N., & Tsay, C. S.
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