Abstract
The dynamic analogue of the Von Karman's equation is used to study the nonlinear response of elastic plates of square and circular geometry with simply supported and clamped-in boundary conditions and immovably constrained and stress free edge conditions, subjected to exponentially decaying (used for an adequate description of a blast load) cosine and exponential asymptotic step pulse excitations. Transformation of the dependent time function such that the solution of a linear system subjected to the same pulse function is used as an additional transforming function brings the time differential equation into a form in which the ultraspherical polynomial approximation technique can be applied to get the nonlinear response, which is compared with the digital solution obtained on the WIPRO:B-200 computing system by using the classical fourth-order Runge-Kutta method.
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