Abstract
The nonlinear, large amplitude vibrations of elastic, shallow shells when subjected to transient pressure loading are analyzed in a relatively simple manner. The isoamplitude contour lines approach is used to derive the basic equations for shallow shell vibrations. The coupled system of governing equations thus obtained is solved for shells of regular polygonal planform with various types of dynamic loading. Also, an equivalent analysis in which Berger’s approximation is used is presented and a comparison is made of the results obtained by both methods. Some comparison is also made with previously obtained results, as available in the literature. All details are explained by graphs.
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