An investigation of the nonlinear dynamic response of cylindrical shells under transient pressure.
Cromer, Charles Clinton
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A numerical algorithm was developed for computing the nonlinear dynamic response of a ring-stiffened, nearly circular cylindrical shell of finite length under transient, axisymmetric radial loads of arbitrary axial distribution. Nonlinear Donnell-type equations were solved using Fourier series expansions of the dependent variables in the circumferential coordinate, modified finite difference approximations of the axial derivatives, and Newmark ' s beta-method, combined with Gauss elimination, for the time integration. The response of a simply supported shell under an exponentially decaying, uniform pressure was computed for peak pressures and total impulses between the static buckling limit and the dynamic buckling limit. Near the dynamic buckling limit, the exponential growth of the static buckling modes dominated; but as the peak pressure was reduced, the parametrically excited Mathieu modes became increasingly important. The significance of damping, the initial imperfections, and nonlinear coupling was also investigated.
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