Nonlinear Vibrations of Orthotropic Doubly-Curved Shallow Shells
The purpose of this study is the evaluation of the effects of curvature, material orthotropy and internal pressure upon the non-linear vibrations of shallow shells. The shells considered here are complete in the circumferential coordinate. A mode shape that leads to a continuous circumferential displacement is used as the basic solution in a Galerkin type procedure. Among the results of interest are the effects of the aforementioned physical parameters on the relative hardness of the shell response, as well as some interesting new perspectives on jump phenomena in non-linear shell vibrations.
© 1973 Published by Elsevier Ltd.
B.R. El-Zaouk, C.L. Dym, Non-linear vibrations of orthotropic doubly-curved shallow shells, Journal of Sound and Vibration, Volume 31, Issue 1, 8 November 1973, Pages 89-103, ISSN 0022-460X, http://dx.doi.org/10.1016/S0022-460X(73)80251-2. (http://www.sciencedirect.com/science/article/pii/S0022460X73802512)