An Approximate Analysis of Timoshenko Beams Under Dynamic Loads

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Abstract
An approximate method for the analysis of Timoshenko beams under impact is presented; it is based on a “traveling-wave” approach and on the principle of virtual work. Displacement functions are assumed in terms of several time-dependent parameters; the latter are found as the solution of a set of ordinary differential equations. Some of the characteristics of the propagation of disturbances are analyzed in the Appendix. Illustrative numerical results pertaining to semi-infinite and finite beams also are presented.

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