Abstract

Vibrational frequencies are determined for completely free laminated plates and shallow shells having rectangular planforms. The Ritz method with algebraic polynomial displacement functions is used. Convergence studies are made and accurate results are obtained by using 192 displacement terms for spherical, circular cylindrical, hyperbolic paraboloidal shallow shells and 64 terms for plates. Results are compared with those obtained experimentally and by finite element methods. It is found that the present method needs considerably fewer degrees of freedom than the finite element method to obtain the same accuracy and that the results compare well with experimental ones. The effect of various parameters (material, number of layers, fiber orientation) upon the frequencies is studied.

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