Oblique frictional impact of a bar: Analysis and comparison of different impact laws

Nonlinear Dynamics

Volumn 41, Issue 4, 2005, Pages 361-383

  Payr, Matthias ^a   Glocker, Christoph ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Collision operator; Complementarity; Friction; Impact; Inequality; Lumped mass model

Indexed keywords

CONSTRAINT THEORY; COULOMB BLOCKADE; PROBLEM SOLVING; TRIBOLOGY;

COLLISION OPERATOR; COMPLEMENTARY; IMPACT; INEQUALITY; LUMPED MASS MODEL;

FRICTION;

EID: 23944456344     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-8200-z     Document Type: Article

References (18)

1. Moreau, J. J., 'Unilateral contact and dry friction in finite freedom dynamics', in Non-Smooth Mechanics and Applications, J. J. Moreau and P. D. Panagiotopoulos (eds.), CISM Courses and Lectures, Vol. 302, Springer Verlag, Wien, 1988, pp. 1-82.
2. Glocker, Ch., Set-Valued Force Laws - Dynamics of Non-Smooth Systems, Lecture Notes in Applied Mechanics, Vol. 1, Springer Verlag, Berlin, Heidelberg, 2001.
3. Moreau, J. J., 'Bounded variation in time', in Topics in Nonsmooth Mechanics, J. J. Moreau, P. D. Panagiotopoulos, and G. Strang (eds.), Birkhäuser Verlag, Basel, 1988, pp. 1-74.
4. Pfeiffer, F. and Glocker, Ch., Multibody Dynamics with Unilateral Contacts, Wiley, New York, 1996.
5. Brogliato, B., Nonsmooth Impact Mechanics, Models, Dynamics and Control, Lecture Notes in Control and Information Sciences, Vol. 220, Springer Verlag, Heidelberg, New York, 1996.
6. Brach, R. M., Mechanical Impact Dynamics, Wiley, New York, 1991.
7. Stronge, W. J., James, R., and Ravani, B., 'Oblique impact with friction and tangential compliance', Philosophical Transactions of the Royal Society of London A 359, 2001, 2447-2465.
8. Walton, O, R., 'Numerical simulation of inelastic, frictional particle-particle interactions', in Particulate Two-Phase Flow, M. C. Roco (ed.), Butterworth-Heinemann, New York, 1992, pp. 884-911.
9. Wang, Y. and Mason, M. T., 'Modeling impact dynamics for robotic operations', in Proceedings of the 1987 IEEE International Conference on Robotics and Automation, Raleigh, NC, 1987, pp. 678-685.
10. Painlevé, P., 'Sur les lois du frottement de glissement', Comptes Rendu des Séances de l'Academie des Sciences 121, 1895, 112-115.
11. Génot, F. and Brogliato, B., 'New results on Painlevé paradoxes', European Journal of Mechanics A/Solids 18, 1999, 653-677.
12. Leine, R. I., Brogliato, B., and Nijmeijer H., 'Periodic motion and bifurcations induced by the Painlevé paradox', European Journal of Mechanics A/Solids 21, 2002, 869-896.
13. Cottle, R.W., Pang, J. S., and Stone, R. E., The Linear Complementarity Problem, Computer Science and Scientific Computing, Academic Press, London, 1992.
14. Murty, K. G., Linear Complementarity, Linear and Nonlinear Programming, Sigma Series in Applied Mathematics, Vol. 3, Heldermann Verlag, Berlin, 1988.
15. Glocker, Ch. and Studer, C., 'Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics', Multibody System Dynamics, in press.
16. Moreau, J. J., 'Some numerical methods in multibody dynamics: Application to granular materials', European Journal of Mechanics A/Solids 21(Suppl. 4), 1994, 93-114.
17. Glocker, Ch., Dynamik von Starrkörpersystemen mit Reibung und Stössen, VDI-Foitschrittberichte Mechanik/ Bruchmechanik, Reihe 18, Nr. 182, VDI-Verlag, Düsseldorf, 1995.
18. Foerester, S. F., Louge, M. Y., Chang, H., and Allia, K., 'Measurement of collision properties of small spheres', Physics of Fluids 6, 1994, 1108-1113.