A new regularization of Coulomb friction

Journal of Vibration and Acoustics

Volumn 126, Issue 3, 2004, Pages 391-397

  Quinn, D Dane ^a  

^a University of Akron   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); HARMONIC GENERATION; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL);

COULOMB FRICTION; FRICTION MODELS; NUMERICAL INSTABILITY; RUNGE-KUTTA ALGORITHMS;

FRICTION;

EID: 4444273123     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1760564     Document Type: Article

References (24)

1. Guran, A., Pfeiffer, F., and Popp, K., eds., 1996, Dynamics with Friction: Modeling, Analysis and Experiment, Vol. 7 of Series on Stability, Vibration and Control of Systems, World Scientific, Singapore.
2. Karnopp, D., 1985, "Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems," ASME J. Dyn. Syst., Meas., Control, 107, pp. 100-103.
3. Oden, J. T., and Pires, E. B., 1983, "Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity," ASME J. Appl. Mech., 50, pp. 67-76.
4. Tariku, F. A., and Rogers, R. J., 2001, "Improved Dynamic Friction Models for Simulation of One-Dimensional and Two-Dimensional Stick-Slip Motion," ASME J. Appl. Mech., 123, pp. 661-669.
5. Abadie, M., 2000, "Dynamic Simulation of Rigid Bodies: Modelling of Frictional Contact," Impacts in Mechanical Systems, B. Brogliato, ed., Vol. 551 of Lecture Notes in Physics, Springer-Verlag, Berlin, pp. 61-144.
6. Pfeiffer, F., 1991, "Dynamical Systems With Time-Varying or Unsteady Structure," Z. Angew. Math. Mech., 71(4), pp. T6-T22.
7. Brogliato, B., 1999, Nonsmooth Mechanics: Models, Dynamics and Control, Springer-Verlag, London, 2nd ed.
8. Shaw, S. W., 1986, "On The Dynamic Response of A System With Dry Friction," J. Sound Vib., 108, pp. 305-325.
9. Berger, E. J., Begley, M. R., and Mahajani, M., 2000, "Structural Dynamic Effects on Interface Response: Formulation and Simulation Under Partial Slipping Conditions," ASME J. Appl. Mech., 67, pp. 785-792.
10. Tan, X., and Rogers, R. J., 1998, "Simulation of Friction in Multi-Degree-of-Freedom Vibration Systems," ASME J. Dyn. Syst., Meas., Control, 120, pp. 144-146.
11. Lethe, R. I., Van Campen, D. H., De Kraker, A., and Van Den Steen, L., 1998, "Stick-Slip Vibrations Induced by Alternate Friction Models," Nonlinear Dyn., 16, pp. 41-54.
12. Martins, J. A. C., and Oden, J. T., 1983, "A Numerical Analysis of a Class of Problems in Elastodynamics With Friction," Comput. Methods Appl. Mech. Eng., 40, pp. 327-360.
13. Oden, J. T., and Martins, J. A. C., 1985, "Models and Computational Methods for Dynamic Friction Phenomena," Comput. Methods Appl. Mech. Eng., 52, pp. 527-634.
14. Song, P., Kraus, P., Kumar, V., and Dupont, P., 2001, "Analysis of Rigid-Body Dynamic Models for Simulation of Systems With Frictional Contacts," ASME J. Appl. Mech., 68, pp. 118-128.
15. Ruina, A. L., 1983, "Slip Instability and State Variable Friction Laws," J. Geophys. Res., 88(B12), pp. 10359-10370.
16. Gu, J.-C., Rice, J. R., Ruina, A. L., and Tse, S. T., 1984, "Slip Motion and Stability of a Single Degree of Freedom Elastic System With Rate and State Dependent Friction," J. Mech. Phys. Solids, 32(3), pp. 167-196.
17. Haessig, Jr., D. A., and Friedland, B., 199l, "On the Modeling and Simulation of Friction," ASME J. Dyn. Syst., Meas., Control, 113, pp. 354-362.
18. Burridge, R., and Knopoff, L., 1967, "Model and Theoretical Seismicity," Bull. Seismol. Soc. Am., 57, pp. 341-371.
19. Carlson, J. M., and Langer, J. S., 1989, "Mechanical Model of an Earthquake Fault," Phys. Rev. A, 40(11), pp. 6470-6484.
20. Menq, C.-H., Bielak, J., and Griffin, J. H., 1986, "The Influence of Microslip on Vibratory Response, Part I: A New Microslip Model," J. Sound Vib., 107(2), pp. 279-293.
21. Quinn, D. D., and Segalman, D. J., 2003, "Using Series-Series Iwan-Type Models for Understanding Joing Dynamics," ASME J. Appl. Mech., in press.
22. Pfeiffer, F., and Glocker, C., 1996, Dynamics of Rigid Body Systems with Unilaterial Constraints, Wiley Series in Nonlinear Science, John Wiley and Sons, New York.
23. Synnestvedt, R. G., 1996, "An Effective Method for Modeling Stiction in Multibody Dynamic Systems," ASME J. Dyn. Syst., Meas., Control, 118, pp. 172-176.
24. Rice, J. R., and Ruina, A. L., 1983, "Stability of Steady Frictional Slipping," ASME J. Appl. Mech., 50, pp. 343-349.