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Dynamic Elastic Buckling of Complete Spherical Shells with Initial Imperfections∗
Authors:Boquan Song  Norman Jones
Institution:1. Department of Civil Engineering , The Zhejiang University , Hangzhou, People's Republic of China;2. Department of Mechanical Engineering , The University of Liverpool , Liverpool, L69 3BX, Great Britain
Abstract:The dynamic elastic buckling behavior of a geometrically imperfect complete spherical shell that is subjected to a uniform external step pressure is examined using Sander's equilibrium and kinematic equations, appropriately modified to include the influence of inertia forces and initial stress-free imperfections in the radius. A finite-difference procedure with either the Houbolt or Park methods of time integration is used to predict the axisym-metric dynamic elastic buckling pressures and associated critical mode numbers. The dynamic buckling pressure is significantly smaller than the corresponding static value for small initial imperfections, but is less imperfection
Keywords:
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