Theoretical analysis of the dynamic behavior of hysteresis elements in mechanical systems

International Journal of Non-Linear Mechanics

Volumn 39, Issue 10, 2004, Pages 1721-1735

  Al Bender, F ^a   Symens, W ^a   Swevers, J ^a   Van Brussel, H ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Describing function; Hysteretic spring; Non linear systems; Numerical simulation; Phase plane analysis

Indexed keywords

APPROXIMATION THEORY; BEARINGS (MACHINE PARTS); COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DESCRIBING FUNCTIONS; FREQUENCY RESPONSE; HYSTERESIS; LINEAR SYSTEMS; MACHINE COMPONENTS; OSCILLATORS (ELECTRONIC); ROLLING; SHAPE MEMORY EFFECT;

HYSTERETIC FRICTION; HYSTERETIC SPRINGS; PHASE PLANE ANALYSIS; SINGLE DEGREE OF FREEDOM (SDOF);

NONLINEAR SYSTEMS;

EID: 3242732203     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.04.005     Document Type: Article

References (24)

1. Arnell R., Davies P., Halling J., Whomes T. Tribology. 1991;Macmillan Education, London.
2. Armstrong-Hélouvry B. Control of Machines with Friction. 1991;Kluwer Academic Publishers, Dordrecht.
3. T. Prajogo, Experimental study of pre-rolling friction for motion-reversal error compensation on machine tool drive systems, Ph.D. Thesis, Division of Production Engineering, Machine Design and Automation, Katholieke Universiteit Leuven, 1998.
4. Goldfarb M., Celanovic N. A lumped parameter electromechanical model for describing the non-linear behaviour of piezoelectric actuators. Trans. ASME, J. Dyn. Syst. Meas. Control. 119:1979;478-485.
5. Swevers J., Al-Bender F., Ganseman C., Prajogo T. An integrated friction model with improved presliding behaviour for accurate friction compensation. IEEE Trans. Automat. Control. 45(4):2000;675-686.
6. Lampaert V., Swevers J., Al-Bender F. Modifications of the Leuven integrated friction model structure. IEEE Trans. Automat. Control. 47(4):2002;683-687.
7. Smyth A., Masri S., Kosmatopoulos E., Chassiakos A., Caughey T. Development of adaptive modeling techniques for non-linear hysteretic systems. Int. J. Non-Linear Mech. 37:2002;1435-1451.
8. Seelecke S. Modeling the dynamic behavior of shape memory alloys. Int. J. Non-Linear Mech. 37:2002;1363-1374.
9. Capecchi D., Vestroni F. Steady-state dynamic analysis of hysteretic systems. J. Eng. Mech. 111(12):1985;1515-1531.
10. Iwan W. A distributed-element model for hysteresis and its steady-state dynamic response. Trans. ASME J. Appl. Mech. 1966;893-900.
11. Iwan W. On a class of models for the yielding behavior of continuous and composite systems. Trans. ASME J. Appl. Mech. 1967;612-617.
12. Masiani R., Capecchi D., Vestroni F. Resonant and coupled response of hysteretic two-degree-of-freedom systems using harmonic balance method. Int. J. Non-Linear Mech. 37:2002;1421-1434.
13. F. Altpeter, Friction modeling, identification and compensation, Ph.D. Thesis, École Polytechnique Féderale de Lausanne, 1999.
14. C. Ganseman, Dynamic modeling and identification of mechanisms with application to industrial robots, Ph.D. Thesis, Division of Production Engineering, Machine design and Automation, Katholieke Universiteit Leuven, 1998.
15. Vestroni F., Noori M. Hysteresis in mechanical systems - modeling and dynamic response. Int. J. Non-Linear Mech. 37:2002;1261-1262. (Special Issue on Hysteresis).
16. Mayergoyz I. Mathematical Models of Hysteresis. 1991;Springer, New York.
17. G. Masing, Eigenspannungen un verfestigung beim messing, in: Second International Congress for Applied Mechanics, Zurich, 1926, pp. 332-335 (in German).
18. Smith K., Watson P., Topper T. A stress-strain function for the fatigue of metals. J. Mater. 5(4):1970;767-778.
19. Futami S., Furutani A., Yoshida S. Nanometer positioning and its micro-dynamics. Nanotechnology. 1(1):1990;31-37.
20. Z. Osínski (Ed.), Damping of Vibrations, A.A. Balkema, Rotterdam/Brookfield, 1998.
21. Lazan B. Damping of Materials and Members in Structural Mechanics. 1968;Pergamon Press, London.
22. Armstrong B., Amin B. PID Control in the presence of static friction. a comparison of algebraic and describing function analysis Automatica. 32(5):1996;679-692.
23. Macmillan R.H. Non-Linear Control System Analysis. 1962;Pergamon Press, Oxford.
24. Taylor G.J., Brown R.G. Analysis and Design of Feedback Control Systems. 2nd Edition:1960;McGraw-Hill, New York.