Efficient simulation of a dynamic system with LuGre friction

Journal of Computational and Nonlinear Dynamics

Volumn 2, Issue 4, 2007, Pages 281-289

  Do, Nguyen B ^a   Ferri, Aldo A ^a   Bauchau, Olivier A ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMICAL SYSTEMS; INTEGRATION; MATHEMATICAL MODELS; RUNGE KUTTA METHODS;

LUGRE FRICTION; STIFF SYSTEM DYNAMICS;

FRICTION;

EID: 34848890971     PISSN: 15551423     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2754304     Document Type: Article

References (25)

1. Armstrong-Hélouvry, B., Dupont, R, and Canudas de Wit, C., 1994, "A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction," Automatica, 30(7), pp. 1083-1138.
2. Mitiguy, P. C., and Banerjee, A. K., 1999, "Efficient Simulations of Motion Involving Coulomb Friction," J. Guid. Control Dyn., 22(1), pp. 78-86.
3. Pfeiffer, F., and Glocker, C., 1996, Multibody Dynamics with Unilateral Contact, Wiley, New York, NY.
4. Ferri, A. A., and Heck, B. S., 1997, "Analysis of Stick-Slip Motion in Coulomb Damped Systems Using Variable Structure System Theory," Proceedings of the 1997 ASME Design and Technical Conferences, Sacramento, CA, September 14-17.
5. Whiteman, W. E., and Ferri, A. A., 1997, "Multi-Mode Analysis of Beam-Like Structures Subjected to Displacement-Dependent Dry Friction Damping," J. Sound Vib., 201(3), pp. 403-418.
6. Karnopp, D., 1985, "Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems," ASME J. Dyn. Syst., Meas., Control, 107(1), pp. 100-103.
7. Iwan, W. D., 1966, "A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response," ASME J. Appl. Mech., 33, pp. 893-900.
8. Iwan, W. D., 1967, "On a Class of Models for the Yielding Behavior of Continuous and Composite Systems," ASME J. Appl. Mech., 34, pp. 612-617.
9. Ferri, A. A., 1995, "Friction Damping and Isolation Systems," ASME J. Vibr. Acoust., 117B, pp. 196-206.
10. Sanliturk, K. Y., and Ewins, D. J., 1996, "Modelling Two-Dimensional Friction Contact and Its Application Using Harmonic Balance Method," J. Sound Vib., 193(2), pp. 511-523.
11. Quinn, D. D., and Segalman, D. J., 2005, "Using Series-Series Iwan-Type Models for Understanding Joint Dynamics," ASME J. Appl. Mech., 72(5), pp. 666-673.
12. Song, Y., Hartwigsen, C. J., McFarland, D. M., Vakakis, A. F., and Bergman, L. A., 2004, "Simulation of Dynamics of Beam Structures With Bolted Joints Using Adjusted Iwan Beam Elements," J. Sound Vib., 273, pp. 249-276.
13. Dahl, P. R., 1976, "Solid Friction Damping of Mechanical Vibrations," AIAA J., 14, 1675-1682.
14. Gaul, L., and Nitsche, R., 2001, "The Role of Friction in Mechanical Joints," Appl. Mech. Rev., 54(2), pp. 93-106.
15. Valanis, K. C., 1971, "A Theory of Viscoplasticity Without a Yield Surface," Arch. Mech., 23(4), pp. 171-191.
16. Canudas de Wit, C., Olsson, H., Astrom, K. J., and Lischinsky, P., 1995, "A New Model for Control of Systems with Friction," IEEE Trans. Autom. Control, 40(3), pp. 419-425.
17. Swevers, J., Al-Bender, F., Ganesman, C. G., and Prajogo, T., 2000, "An Integrated Friction Model Structure with Improved Presliding Behavior for Accurate Friction Compensation," IEEE Trans. Autom. Control 45(4), pp. 675-686.
18. Lampaert, V., Swevers, J., and Al-Bender, F., 2002, "Modification of the Leuven Integrated Friction Model Structure," IEEE Trans. Autom. Control, 47(4), pp.683-687.
19. Haessig, D. A., Jr., and Friedland, B., 1991, "On the Modeling and Simulation of Friction," ASME J. Dyn. Syst., Meas., Control, 113, pp. 354-362.
20. Kokotovic, P., Khalil, H., and O'Reilly, J., 1986, Singular Perturbation Methods in Control: Analysis and Design, Academic, London, UK.
21. Forsythe, G., Malcolm, M., and Moler, C., 1977, Computer Methods for Mathematical Computations, Prentice-Hall, Englewood Cliffs, NJ.
22. Kahaner, D., Moler, C., and Nash, S., 1989, Numerical Methods and Software, Prentice-Hall, Englewood Cliffs, NJ.
23. Faires, J. D., and Burden, R., 1998, Numerical Methods, 2nd ed., Brooks/Cole Publishing Co., Pacific Grove, CA.
24. Hairer, E., and Wanner, G., 1991, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin, Germany.
25. Hairer, E., and Wanner, G., 1999, "Stiff Differential Equations Solved by Radau Methods," J. Comput. Appl. Math., 111, pp. 93-111.