An Investigation of the Nonlinear Dynamic Response of Cylindrical Shells under Transient Pressure

摘要

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. The significance of damping, the initial imperfections, and the nonlinear coupling were also investigated. (Author)