Abstract
The authors investigate the linear vibrations induced in an elastic string by a loading point-like mass constrained to moving on it with constant horizontal velocity. Exact solutions are shown in the case of subsonic regime. The displacement is explicitly provided in terms of a power series determined by iteration, which is shown to converge to the solution of the problem. The presence of a discontinuity in the right extremum of the considered space interval is also shown both analytically and numerically.
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Maria Bersani, A., Della Corte, A., Piccardo, G. et al. An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case. Z. Angew. Math. Phys. 67, 108 (2016). https://doi.org/10.1007/s00033-016-0703-6
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DOI: https://doi.org/10.1007/s00033-016-0703-6