The transient motion that results when an ended-loaded column buckles is studied using a nonlinear Timoshenko beam theory. The two-time method is used to construct an asymptotic expansion of the solution. The results are then compared with those of a previous analysis of the same problem that employed the Euler-Bernoulli beam theory. Thus, the effects of shear deformations and rotary inertia on the dynamics of the column are explicitly demonstrated.
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Sapir et al. (1979) studied this question.
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