Abstract
In the present paper a simple and efficient alternate friction model is presented to simulate stick-slip vibrations. The alternate friction model consists of a set of ordinary non-stiff differential equations and has the advantage that the system can be integrated with any standard ODE-solver. Comparison with a smoothing method reveals that the alternate friction model is more efficient from a computational point of view. A shooting method for calculating limit cycles, based on the alternate friction model, is presented. Time-dependent static friction is studied as well as application in a system with 2-DOF.
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Leine, R., van Campen, D., de Kraker, A. et al. Stick-Slip Vibrations Induced by Alternate Friction Models. Nonlinear Dynamics 16, 41–54 (1998). https://doi.org/10.1023/A:1008289604683
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DOI: https://doi.org/10.1023/A:1008289604683