Abstract
The flexural wave propagation effects in a linearly elastic Timoshenko beam having both cross-sectional and material type of longitudinal discontinuities. For purposes general formulation is presented which accounts for any number of discontinuities. For purposes of solution the second order accurate explicit MacCormack's finite difference scheme is modified to account for the source term in Timoshenko beam equations and to include the effects of discontinuities. To demonstrate the effectiveness of the formulation and numerical procedure, some representative results are given for a single longitudinal discontinuity in cross-section and in material.
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