An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

作者：Bersani Alberto Maria^*; Della Corte Alessandro; Piccardo Giuseppe; Rizzi Nicola Luigi

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2016, 67(4): 108.

DOI：10.1007/s00033-016-0703-6

• Traveling mass
• Linear vibrations of a string
• Characteristic lines
• Iterative methods

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.

• 出版日期2016-8