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Vibration of the string under moving load as a model of the railway traction
Author(s) -
Biernat S.,
Śniady P.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781507
Subject(s) - traction (geology) , pantograph , vibration , string (physics) , moving load , constant (computer programming) , train , harmonic , structural engineering , computer science , control theory (sociology) , engineering , physics , mechanical engineering , acoustics , theoretical physics , cartography , control (management) , artificial intelligence , programming language , geography
In the paper the problem of forced vibrations of the railway traction due to moving vehicle pantograph is investigated. The assumptions have been made that: a string is a model of the railway traction, moving force of constant speed and constant or harmonically varying magnitude models pantograph load, that let us derive the solutions in the field of harmonic analysis for arbitrary load varying in time. Not only classical solutions in the form of series, but also closed form solutions are presented, what is of great importance determining the stresses in string. The consideration is also focused on the case that includes a load of two components ‐ the first is deterministic, the second ‐ a random one.