Skip to main content
Log in

A new solution for mechanisms including Coulomb friction

  • Published:
KSME Journal Aims and scope Submit manuscript

Abstract

This paper presents a new solution method for the analysis of multibody systems with Coulomb friction. Complete equations of motion and reaction forces are derived by using Lagrangian formulation and the traditional friction circle concepts for the analysis of Coulomb friction. The numerical solutions by the new method, as well as the conventional method for comparision, are illustrated. The new method saves considerably the computer execution time to solve equations of motion and reaction forces compared with the conventional method for same accuracy. The higher the coefficient of friction is, the more the computation time of the conventional method is needed but the computation time of the new method is nearly independent on the coefficient of friction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Haug, E.J., 1984, “Computer Aided Analysis and Optimization of Mechanical System Dynamics,” Springer-Verlag, Heidelberg.

    MATH  Google Scholar 

  • Haug, E.J., Wu, S.C. and Yang, S.M., 1986, “Dynamics of Mechanical Systems with Coulomb Friction, Stiction, Impact and Constraint Addition-Deletion-I: Theory,” Mechanism and Machine Theory, Vol. 21, pp. 401–406.

    Article  Google Scholar 

  • Imam, I., Skreiner, M. and Sadler, J.P., 1981, “A New Solution to Coulomb Friction in Mechanism Bearings: Theory and Application,” J. Mechanical Design, Trans ASME, Vol. 103, pp. 764–775.

    Article  Google Scholar 

  • Rooney, G.T. and Deravi, P., 1982, “Coulomb Friction in Mechanism Sliding Joints,” Mechanism and Machines Theory, Vol. 17, pp. 207–211.

    Article  Google Scholar 

  • Schiehlen, W. and Schramm, D., 1983, “Dynamics of Machines and Mechanisms with Coulomb’s Friction,” Proceedings of the 6th World Congress on Theory of Machines and Mechanisms-1983, pp. 424–428.

  • Tomlinson, G.R. and Hibbert, J.H., 1979, “Identifification of the Dynamic Characteristics of a Structure with Coulomb Friction,” J. Sound and Vibration, Vol. 64 (2), pp. 233–242.

    Article  Google Scholar 

  • Wu, S.C., Yang, S.M. and Haug, E.J., 1986a, “Dynamics of Mechanical Systems with Coulomb Friction, Stiction, Impact and Constraint Addition-Deletion-II: Planar Systems,” Mechanism and Machine Theory, Vol. 21, pp. 407–416.

    Article  Google Scholar 

  • Wu, S.C., Yang, S.M. and Haug, E.J. 1986b, “Dynamics of Mechanical Systemswith Coulomb Friction. Stiction, Impact and Constraint Addition-Deletion-III: Spatial Systems.” Mechanism and Machine Theory, Vol. 21, pp. 417–425.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, C.H., Kim, S.S. & Shin, Y.J. A new solution for mechanisms including Coulomb friction. KSME Journal 4, 136–140 (1990). https://doi.org/10.1007/BF02954035

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02954035

Key Words

Navigation