A NOTE ON THE DYNAMIC INSTABILITY OF STIFFENED CYLINDRICAL SHELLS.
Final technical rept.,
POLYTECHNIC INST OF BROOKLYN NY
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The dynamic instability of long, stiffened circular cylindrical shells subjected to time-independent loads is investigated. It is assumed that the stiffeners are spaced sufficiently close so that their properties can be averaged out. The equations of motion of the structure is determined by using a nonlinear orthotropic shell theory of the Karman-Tsien type. An approximate deflection function with time-dependent coefficients is assumed and a Ritz-Galerkin procedure applied to yield four coupled, nonlinear differential equations. These equations are solved numerically for an applied axial compressive load. A dynamic buckling instability criterion is established. Author