Vibration of a class of shallow shells bounded by edges described by polynomials Part II: natural frequency parameters for shallow shells of various different planforms

Author： Young P.G. Dickinson S.M.

Publisher： Academic Press

ISSN： 0022-460X

Source： Journal of Sound and Vibration, Vol.181, Iss.2, 1995-02, pp. : 215-230

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Abstract

In Part I of this paper, an eigenvalue equation for the free vibration of thin shallow shells of curvilinear planform was obtained by means of the Ritz method. The validity of the approach was demonstrated through the treatment of three shells for which comparison results exist in the literature, these being shells of circular, rectangular and elliptical planform. In this second part of the paper, further results are presented for shells with these planforms, both with and without complicating effects, such as free edged cut-outs, stepped material thickness or internal line supports, and for various types of curvature. Shells of different planform, including triangular, epicycloidal and combined rectangular and circular planform, are also treated.