Abstract
This paper investigated vibration analyses of a composite cylindrical shell consisting of a core with negative Poisson's ratios resting on elastic foundation subjected to pre-loaded axial compression and external excitation force. Governing equations are driven based on Donnell's improved shell theory ignoring the shallowness of cylindrical shells and, with the help of Galerkin's method, Volmir's assumption, and Runge-Kutta's fourth-order method, the dynamical analysis of shells is studied. The purpose of this article is to discuss both the linear and nonlinear aspects of the structure's vibration. Furthermore, several parametric examples are presented and discussed to show how different parameters affect the three-layer cylindrical shell oscillation. To ensure the accuracy and the precision of the numerical results, the proposed method is compared with other literature attempts.
Published Version
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