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We consider parametrically excited vibrations of shallow cylindrical panels. The governing system of two coupled nonlinear partial differential equations is discretized by using the Bubnov–Galerkin method. The computations are simplified significantly by the application of computer algebra, and as a result low dimensional models of shell vibrations are readily obtained. After applying numerical continuation...
We study parametrically excited vibrations of a shallow cylindrical panel. The mathematical model is a system of two partial differential equations based on Donnell's shallow shell theory. The original equations are discretised using Galerkin approximations and all calculations are performed through symbolic manipulations. A bifurcation analysis of a system model with two degrees of freedom is accomplished...
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