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VIBRATIONS AND ELASTIC STABILITY OF THIN CIRCULAR PLATES WITH VARIABLE PROFILE

✍ Scribed by R.H. Gutierrez; E. Romanelli; P.A.A. Laura

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 175 KB
Volume: 195
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0433

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✦ Synopsis

Circular plates of thicknesses varying according to the functional relation

where n is a positive integer, are studied in the present paper. Uniform, elastic boundary restraints are considered and the first two natural frequency coefficients corresponding to axisymmetric modes and the buckling, in-plane pressure are determined using simple polynomial co-ordinate functions which identically satisfy the boundary conditions and the classical Rayleigh-Ritz method.

An independent solution is also obtained by means of the differential quadrature technique.

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