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Response of the mechanical system with the hysteresis in a high frequency limit
Author(s) -
Kasperek Rafał,
Litak Grzegorz
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910322
Subject(s) - hysteresis , limit (mathematics) , vibration , damper , excitation , physics , control theory (sociology) , limit cycle , restoring force , mechanics , classical mechanics , statistical physics , mathematics , condensed matter physics , mathematical analysis , quantum mechanics , computer science , thermodynamics , control (management) , artificial intelligence
Vibrations of a single‐degree‐of‐freedom oscillator with a hysteretic damper subjected to kinematic excitations in a high frequency limit have been explored. By using of two time scales expansion we derived an effective damping coefficient. It has been shown that in the limit of the high excitation frequency the hysteretic loop could be eliminated for the slow time scale dynamics. For simplicity, to examine the effect of hysteresis we used the model of a single hysteron. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)