Probing the physics of slip-stick friction using a bowed string

Journal of Adhesion

Volumn 81, Issue 7-8, 2005, Pages 723-750

  Schumacher, Robert T ^a   Garoff, S ^a   Woodhouse, J ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Adhesion; Creeping friction; Friction driven autonomous oscillations; Interfacial friction; Kinetic friction; Stick slip oscillation

Indexed keywords

COMPUTER SIMULATION; FRICTION; FRICTION MATERIALS; INTERFACES (MATERIALS); OSCILLATIONS; THERMAL EFFECTS; VIBRATIONS (MECHANICAL);

CREEPING FRICTION; FRICTION DRIVEN AUTONOMOUS OSCILLATIONS; INTERFACIAL FRICTION; KINETIC FRICTION; STICK-SLIP OSCILLATION;

ADHESION;

EID: 24044451202     PISSN: 00218464     EISSN: None     Source Type: Journal    
DOI: 10.1080/00218460500187715     Document Type: Article

References (29)

1. Akay, A., The acoustics of friction, J. Acoust. Soc. Amer. 111, 1525-1548 (2002).
2. Johnson, K. L., Dynamic friction, in Tribology Research: From Model Experiment to Industrial Problem, G. Dalmaz, A. A. Lubrecht, D. Dowson, and M. Priest (Eds.) (Elsevier Science, Amsterdam, 2001), pp. 37-45.
3. Urbakh, M., Klafter, J., Gourdon, D., and Israelachvili, I., The nonlinear nature of friction, Nature 430, 525-528 (2004).
4. Ruina, A., Slip instability and state variable laws, J. Geophys. Research 88, 10359-10370 (1983).
5. Heslot, F., Baumberger, T., Perrin, B., Caroli, B., and Caroli, C., Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model, Phys. Review E 49, 4973-4988 (1994).
6. Smith, J. H. and Woodhouse, J., The tribology of rosin, J. Mech. Phys. Solids 48, 1633-1681 (2000).
7. Woodhouse, J., Bowed string simulation using a thermal friction model, Acustica - Acta Acustica 89, 355-368 (2003).
8. Duffour, P., Noise generation in vehicle brakes, Doctoral thesis, University of Cambridge, UK (2002).
9. Galluzzo, P. M., On the playability of stringed instruments, Doctoral thesis, University of Cambridge, UK (2003).
10. Mills, K., ASM Handbook: Fractography V. 12 (ASM International, Metals Park, OH, 1991).
11. Bell, R. and Burdekin, M., A study of the stick-slip motion of machine tool feed drives, Proc. Inst. Mech. Engrs. 184, 543-560 (1969-70).
12. Brockley, C. A. and Ko, P. L., Quasi-harmonic friction-induced vibration, Trans. ASME J. Lub. Tech. 92, 550-556 (1970).
13. The Merck Index, 9th edition, M. Windholz, S. Budavari, L. Stroumtsos, and M. Fertig (Eds.) (Merck & Co., Rahway, NJ, 1976), p. 1071.
14. Schumacher, R. T. and Woodhouse, J., The transient behavior of models of bowed-string motion, Chaos 5, 509-523 (1995).
15. Woodhouse, J. and Galluzzo, P. M., The bowed string as we know it today, Acustica - Acta Acustica 90, 579-589 (2004).
16. Woodhouse, J., Schumacher, R. T., and Garoff, S., Reconstruction of bowing point friction force in a bowed string, J. Acoust. Soc. Amer. 108, 357-368 (2000).
17. Guettler, K. and Askenfelt, A., Acceptance limits for the duration of pre-Helmholtz transients in bowed string attacks, J. Acoust. Soc. Amer. 101, 2903-2913 (1997).
18. Helmholtz, H. von, Lehre von den Tonempfindungen (Braunschweig 1862); English edition: On the sensations of tone (Dover, New York, 1954).
19. Den Hartog, J. P., Forced vibration with combined Coulomb and viscous friction, Applied Mech. 53, 107-115 (1933).
20. Raman, C. V., On the mechanical theory of vibrations of bowed strings, Indian Assoc. Cult. Sci. Bull. 15, 1-158 (1918).
21. Lawergren, B., On the motion of bowed violin strings, Acustica 44, 194-206 (1980).
22. Woodhouse, J. and Galluzzo, P. M., Why is the violin so hard to play? Plus 31 October 2004, http://plus.maths.org/issue31/features/woodhouse/ index.html (online magazine of the Millennium Mathematics Project).
23. Schelleng, J. C., The bowed string and the player, J. Acoust. Soc. Amer. 53, 26-41 (1973).
24. Johnson, K. L., Contact Mechanics (Cambridge University Press, Cambridge, UK 1985).
25. Bai, Y. L. and Dodd, B., Adiabatic Shear Localization (Pergamon, Oxford, 1985).
26. Swallowe, G. M. (Ed.), Mechanical Properties and Testing of Polymers (Kluwer Academic, Dordrecht, 1999), Chapters 3, 4.
27. Bingham, E. C., Fluidity and Plasticity (McGraw-Hill, New York, 1922).
28. Lopez, F. V., Pauchard, L., Rosen, M., and Rabaud, M., Non-Newtonian effects on ribbing instability threshold, J. Non-Newtonian Fluid Mech. 103, 123-139 (2002).
29. Cremer, L., The Physics of the Violin (MIT Press, Cambridge, MA, 1985).