DYNAMIC INSTABILITY OF A CYLINDRICAL SHELL WITH AN ELASTIC CORE.
POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MEC HANICS
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The stabilizing effect of an elastic core on the response of a long, circular cylindrical shell with initial imperfections and subjected to time-dependent axial edge loads is investigated. The three-dimensional elastic field equations in which all inertia terms are neglected are used to derive the core response. A nonlinear shell theory of the Karman-Tsien type is utilized to derive the shell equations in which only the radial inertia terms are included. Coupling is effected by enforcing the condition that the radial displacements at the interface be compatible. It is also assumed that the interface shearing stresses vanish. The displacement of the cylinder is obtained by using an approximate deflection function having four time-dependent parameters. The application of Hamiltons principle yields four coupled differential equations on these four parameters which are solved numerically for a step edge-loading. The results are compared to those previously obtained for cylinders without cores. Additional results obtained for the coreless cylinders are also included. Author