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REPRESENTATIONS OF COULOMB FRICTION FOR DYNAMIC ANALYSIS
Author(s) -
MOSTAGHEL NASER,
DAVIS TODD
Publication year - 1997
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199705)26:5<541::aid-eqe660>3.0.co;2-w
Subject(s) - classification of discontinuities , coulomb , coulomb friction , collision response , dynamical friction , representation (politics) , constant (computer programming) , classical mechanics , mechanics , function (biology) , physics , mathematical analysis , mathematics , computer science , nonlinear system , electron , computer security , quantum mechanics , evolutionary biology , politics , astrophysics , law , political science , collision detection , biology , programming language , collision
In many engineering problems involving friction, the friction is treated as Coulomb friction, where the magnitude of the friction force is constant but its direction is always opposite to that of the sliding velocity. In dynamic problems, the direction of the sliding velocity can change quite often. The many changes of the velocity direction cause many discontinuities in the friction force, complicating the process of evaluating the response of systems involving friction. In this paper, it is shown that the discontinuous Coulomb friction force can be represented by at least four different continuous functions. Each of these functions involves one constant that controls the level of accuracy of that function's representation of the friction force. The accuracy of the various representations is verified by comparing the response of a single degree freedom system, obtained through numerical solutions utilizing these representations, with an exact analytical solution. © 1997 by John Wiley & Sons, Ltd.