Efficient simulation of motions involving coulomb friction

Journal of Guidance, Control, and Dynamics

Volumn 22, Issue 1, 1999, Pages 78-86

  Mitiguy, Paul C ^a   Banerjee, Arun K ^b,c  

^a Research and Development   (United States)

^b LOCKHEED MARTIN   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FRICTION; MATRIX ALGEBRA;

COULOMB FRICTION;

EQUATIONS OF MOTION;

EID: 0032786169     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4353     Document Type: Article

References (24)

1. Baumeister, T., Avallone, E. A., and Baumeister, T., III (eds.), Marks Mechanical Engineers Handbook, McGraw-Hill, New York, 1978.
2. Dahl, P. R., "Solid Friction Damping of Mechanical Vibrations," AIAA Journal, Vol. 14, No. 12, 1976, pp. 1675-1682.
3. Shigley, J. E., and Mishke, C. R., Mechanical Engineering Design, McGraw-Hill, New York, 1989, pp. 279-292.
4. Banerjee, A. K., and Kane, T. R., "Modeling and Simulation of Rotor Bearing Friction," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 5, 1994, pp. 1137-1151.
5. Garcia, A., and Hubbard, M., "Spin Reversal of Rattlebacks: Theory and Experiment," Proceedings of the Royal Society, Series A: Mathematical and Physical Sciences, Vol. 418, Feb. 1988, pp. 165-197.
6. Kane, T. R., and Levinson, D. A., "A Realistic Solution of the Symmetric Top Problem," Journal of Applied Mechanics, Vol. 45, No. 4, 1978, pp. 903-909.
7. Baraff, D., "Coping with Friction for Non-Penetrating Rigid Body Simulation," Computer Graphics, Vol. 25, No. 4, 1991, pp. 31-40.
8. Bondi, H., "The Rigid Body Dynamics of Unidirectional Spin," Proceedings of the Royal Society, Series A: Mathematical and Physical Sciences, Vol. 405, 1986, pp. 265-274.
9. Caughey, T. K., "A Mathematical Model of the Rattleback," International Journal of Nonlinear Mechanics, Vol. 15, 1980, pp. 296-302.
10. Kane, T. R., and Levinson, D. A., "Realistic Mathematical Modeling of the Rattleback," International Journal of Nonlinear Mechanics, Vol. 17, No. 3, 1982, pp. 175-186.
11. Walker, G. T., "On a Dynamical Top," Quarterly of Pure and Applied Mathematics, Vol. 28, 1896, pp. 175-184.
12. Braams, C. M., "On the Influence of Friction on the Motion of a Top," Physica, Vol. 18, Nos. 8, 9, 1952, pp. 503-514.
13. Cohen, R. J., "The Tippe Top Revisited," American Journal of Physics, Vol. 45, No. 1, 1977, pp. 12-17.
14. Fokker, A. D., "The Rising Top, Experimental Evidence and Theory," Physica, Vol. 8, No. 6, 1941, pp. 591-596.
15. Freeman, I. M., "The Tippe Top Again," American Journal of Physics, Vol, 24, No. 3, 1956, p. 178.
16. Gallop, E. G., "On the Rise of a Sleeping Top," Transactions of the Cambridge Philosophical Society, Vol. 19, Pt. 3, 1904, pp. 356-373.
17. Hugenholtz, N. M., "On Tops Rising by Friction," Physica, Vol. 18, Nos. 8, 9, 1952, pp. 515-527.
18. Johnson, F. F., "The Tippy Top," American Journal of Physics, Vol, 28, No. 4, 1960, pp. 406-407.
19. O'Brien, S., and Synge, J. L., "The Instability of the Tippee-Top Explained by Sliding Friction," Proceedings of the Royal Irish Academy, Sec. A, Vol. 56, Feb. 1954, pp. 724-728.
20. Parkyn, D. G., "The Rising of Tops with Rounded Pegs," Physica, Vol. 24, 1958, pp. 313-330.
21. Kane, T. K., Analytical Elements of Mechanics, Vol. 2, Stanford Univ. Press, Stanford, CA, 1973, pp. 211-216.
22. Synge, J. L., and Griffith, B. A., Principles of Mechanics, McGraw-Hill, New York, 1949, pp. 447-480.
23. Kane, T. R., and Levinson, D. A., Dynamics: Theory and Applications, McGraw-Hill, New York, 1985, pp. 102-106.
24. Reckdhal, K. J., "Dynamics and Control of Mechanical Systems Containing Closed Kinematic Chains," Ph.D. Thesis, Dept. of Mechanical Engineering, Stanford Univ., Stanford, CA, Sept. 1996.