On the fundamental frequency of a square plate symmetrically supported at four points

The title problem has been examined using (a) energy-type analyses involving the assumption of modal forms and (b) an alternative finite difference formulation of the governing differential equation of the problem. Because of its simplicity in use and accuracy—the latter method is advocated. Over th...

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Bibliographic Details
Published in:Journal of sound and vibration 1969, Vol.10 (3), p.404-410
Main Authors: Johns, D.J., Nagaraj, V.T.
Format: Article
Language:English
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Summary:The title problem has been examined using (a) energy-type analyses involving the assumption of modal forms and (b) an alternative finite difference formulation of the governing differential equation of the problem. Because of its simplicity in use and accuracy—the latter method is advocated. Over the entire range of symmetric supports (viz. four-corner supports to one single central support) the finite difference method gives satisfactory results agreeing well with experimental data.
ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(69)90218-1