Abstract
A general analytical and numerical procedure, based on large deflection and small rotation, is developed for an arbitrary plane curved beam made of linear elastic material and subjected to arbitrary dynamic loading. The equations of motion admit shear deformation, rotary inertia, geometrical initial imperfections and viscous damping. The numerical solution is obtained by reduction of the nonlinear equations to a linear sequence by a modification of Newton's method, conversion of the differential equations to finite difference equations and application of Houbolt's method in the time domain. Three numerical examples involving dynamic buckling are presented and the influence of shear stiffness is considered.
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