Abstract
This paper presents an approximate solution of the large deflection axisymmetric response of cylindrically orthotropic thin circular plates resting on Winkler, Pasternak and non-linear Winkler foundations. Plates with edges elastically restrained against rotation and inplane displacement are analysed. Von Kármán-type equations are employed. The deflection is approximated by a one-term mode shape and Galerkin's method is used to obtain Duffing's equation for the central deflection. Non-linear frequencies, postbuckling response and maximum response under step load have been obtained. The effect of various parameters is studied and it is shown that satisfactory engineering accuracy is achieved by the present method.
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