Abstract
The propagation of higher order flexural transients in a Timoshenko beam, subjected to impulsive boundary loads is treated in this paper. The higher order transients are either generated by higher order boundary conditions or induced by homogeneous boundary conditions. The analysis is based on the concept of a wave as a carrier of discontinuities in the field variable and its derivatives. These discontinuities are determined from a set of recurrence relations which are in turn generated by the use of time-harmonic asymptotic series solutions to the equations of motion. Numerical examples are presented to illustrate the method of solution for higher order transients and the resulting velocity, bending moment and shear force distributions have been computed.
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