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Rigid Body Dynamics with Spatial Frictional Contact

Authors: Remco Leine, Christoph Glocker

Post-doctoral research project, 2002

Funding: Dutch Science Foundation STW (STW grant EWO.5928)

 

The aim of this research project has been to develop a set-valued contact law for combined spatial Coulomb friction and normal friction torque (drilling friction) as a function of sliding velocity and spin, i.e. a combined frition law for pivoting an sliding friction. We call this extended contact law the Coulomb–Contensou friction law. The contact problem for Coulomb–Contensou friction is formulated by means of a non-smooth velocity pseudo potential. The numerical simulation of rigid bodies with Coulomb–Contensou friction is conducted with a timestepping method in combination with an Augmented Lagrangian method for the solution of the contact problem. As an application, the Coulomb-Contensou friction model is used in the numerical simulation of the Tippetop.

 

Contensou-effect and Coulomb-Contensou friction model

 

Publications:

Leine, R.I. and Glocker, Ch., "A set-valued force law for spatial Coulomb-Contensou friction", European Journal of Mechanics, Vol. 22,2, pp. 193-216, 2003. PDF(421kb)

Leine, R.I. and Glocker, Ch., "A Set-valued Force Law for Spatial Coulomb-Contensou Friction", Proceedings of the 21st International Congress of Theoretical and Applied Mechanics (ICTAM 2004), Warsaw, Poland 2004. PDF(128kb)

Leine, R.I. and Glocker, Ch., "A Set-valued Force Law for Spatial Coulomb-Contensou Friction", Proceedings of the Design Engineering Technical Conferences & Computers and Information in Engineering Conference (DETC 2003), ASME Symposium on Nonlinear Dynamics In Engineering Systems, Chicago, USA, 2003. PDF (458kb)

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09/12/11 | Remco Leine | ZfM |
ETH