A Recursive hybrid time-stepping scheme for intermittent contact in multi-rigid-body dynamics

Journal of Computational and Nonlinear Dynamics

Volumn 4, Issue 4, 2009, Pages 1-11

  Bhalerao, Kishor D ^a   Anderson, S ^a   Trinkle, Jeffrey C ^a,b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b Rensselaer Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BILATERAL CONSTRAINTS; COLLISION DETECTION; DIVIDE AND CONQUER; DOUBLE PENDULUM; FRICTION CONES; INTERMITTENT-CONTACTS; LINEAR COMPLEMENTARITY PROBLEMS; MULTI-RIGID-BODY; NOVEL METHODS; TIME-STEPPING SCHEMES; UNILATERAL CONSTRAINTS;

PENDULUMS;

EID: 77950461322     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.3192132     Document Type: Article

References (27)

1. Lötstedt, P., 1982, "Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints," SIAM J. Appl. Math., 42(2), pp. 281-296.
2. Pereira, M. S., and Nikravesh, P., 1996, "Impact Dynamics of Multibody Systems With Frictional Contact Using Joint Coordinates and Canonical Equations of Motion," Nonlinear Dyn., 9, pp. 53-71.
3. Pfeiffer, F., 2003, "The Idea of Complementarity in Multibody Dynamics," Arch. Appl. Mech., 72(11-12), pp. 807-816.
4. Trinkle, J., Pang, D., Sudarsky, S., and Lo, G., 1997, "On Dynamic Multi-Rigid-Body Contact Problems With Coulomb Friction," Z. Angew. Math. Mech., 77(4), pp. 267-279.
5. Barhorst, A., 1998, "On Modelling Variable Structure Dynamics of Hybrid Parameter Multibody Systems," J. Sound Vib., 209(4), pp. 571-592.
6. Pfeiffer, F., and Glocker, C., 2000, Multibody Dynamics With Unilateral Constraints (CISM Courses and Lectures Vol. 421), International Centre for Mechanical Sciences, Springer, New York.
7. Pfeiffer, F. G., 2001, "Applications of Unilateral Multibody Dynamics," Philos. Trans. R. Soc. London, Ser. A, 359, pp. 2609-2628.
8. Moreau, J. J., 1988, "Unilateral Contacts and Dry Friction in Finite Freedom Dynamics," Non-Smooth Mechanics and Applications (CISM Courses and Lectures Vol. 302), Springer, Berlin.
9. Baraff, D., 1993, "Issues in Computing Contact Forces for Non-Penetrating Rigid Bodies," Algorithmica, 10(2-4), pp. 292-352.
10. Stewart, D. E., and Trinkle, J. C., 1996, "An Implicit Time-Stepping Scheme for Rigid Body Dynamics With Inelastic Collisions and Coulomb Friction," Int. J. Numer. Methods Eng., 39, pp. 2673-2691.
11. Glocker, C., and Pfeiffer, F., 1995, "Multiple Impacts With Friction in Multibody Systems," Nonlinear Dyn., 7, pp. 471-497.
12. Pfeiffer, F., and Glocker, C., 1996, Multibody Dynamics With Unilateral Contacts (Wiley Series in Nonlinear Sciences), Wiley, New York.
13. Pfeiffer, F. G., 2003, "Unilateral Multibody Dynamics," Int. J. Multiscale Comp. Eng., 1, pp. 311-326.
14. Featherstone, R., 1999, "A Divide-and-Conquer Articulated Body Algorithm for Parallel O(log_n) Calculation of Rigid Body Dynamics. Part 1: Basic Algorithm," Int. J. Robot. Res., 18_9), pp. 867-875.
15. Featherstone, R., 1999, "A Divide-and-Conquer Articulated Body Algorithm for Parallel O(log_n) Calculation of Rigid Body Dynamics. Part 2: Trees, Loops, and Accuracy," Int. J. Robot. Res., 18_9), pp. 876-892.
16. Mukherjee, R. M., and Anderson, K. S., 2007, "Orthogonal Complement Based Divide-and-Conquer Algorithm for Constrained Multibody Systems," Nonlinear Dyn., 48(1-2), pp. 199-215.
17. Cottle, R. W., Pang, J. S., and Stone, R. E., 1992, The Linear Complementarity Problem, Academic, New York.
18. 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," Mech. Mach. Theory, 21(5), pp. 401-406.
19. Schwertassek, R., 1994, "Reduction of Multibody Simulation Time by Appropriate Formulation of the Dynamics System Equations," Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, NATO ASI, pp. 447-482.
20. Anitescu, M., 2003, "A Fixed Time-Step Approach for Multi-Body Dynamics With Contact and Friction," International Conference on Intelligent Robots and Systems, Las Vegas, NV, 27-31 Oct. 2003, Vol. 4, pp. 3725-3731.
21. Mirtich, B., 1996, "Impulse-Based Dynamic Simulation of Rigid Body Systems," Ph.D. thesis, Department of Electrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA.
22. Kane, T. R., and Levinson, D. A., 1985, Dynamics: Theory and Application, McGraw-Hill, New York.
23. Roberson, R. E., and Schwertassek, R., 1988, Dynamics of Multibody Systems, Springer-Verlag, Berlin.
24. Ferris, M. C., and Munson, T. S., 1999, "Interfaces to Path 3.0: Design, Implementation and Usage," Comput. Optim. Appl., 12(1-3), pp. 207-227.
25. Mukherjee, R. M., and Anderson, K. S., 2007, "Efficient Methodology for Multibody Simulations With Discontinuous Changes in System Definition," Multibody Syst. Dyn., 18(2), pp. 145-168
26. . 2010 http://www.autolev.com.
27. Schaechter, D. B., Levinson, D. A., and Kane, T. R., 1982, AUTOLEV User's Manual, On-Line Dynamics Inc., Sunnyvale, CA.