Abstract
The investigation deals with the geometrically nonlinear, axisymmetric, transient elastic response for stresses and deflection of cylindrically orthotropic thin annular plates subjected to uniformly distributed and ring loads. The dynamic analogues of von Kármán equations in terms of normal displacement w and stress function ϕ have been employed. The displacement w and stress function ϕ are expanded in finite power series. The orthogonal point collocation method in the space domain and the Newmark-β scheme in the time domain have been used. Three types of uniformly distributed dynamic loadings, namely, step function, sinusoidal pulse and exponentially decaying load, and a case of step function ring load at the free edge have been considered. Detailed results are presented for a clamped and simply supported annular plate with a free hole, and an annulus supported at the inner boundary and free at the outer edge, for different values of orthotropic parameter and annular ratio. The effect of elastic rotational and inplane edge restraints has also been studied.
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