An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case |
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Authors: | Alberto Maria Bersani Alessandro Della Corte Giuseppe Piccardo Nicola Luigi Rizzi |
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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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