Stick-slip vibrations induced by alternate friction models

R.I. Leine; D.H. Campen, van; A. Kraker, de; L. Steen, van den

doi:10.1023/A:1008289604683

Stick-slip vibrations induced by alternate friction models

R.I. Leine, D.H. Campen, van, A. Kraker, de, L. Steen, van den

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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.

Original language	English
Pages (from-to)	41-54
Journal	Nonlinear Dynamics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1023/A:1008289604683
Publication status	Published - 1998

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title = "Stick-slip vibrations induced by alternate friction models",

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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AU - Kraker, de, A.

AU - Steen, van den, L.

PY - 1998

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AB - 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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Stick-slip vibrations induced by alternate friction models

Abstract

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