Balancing energy to estimate damping parameters in forced oscillators

Journal of Sound and Vibration

Volumn 295, Issue 3-5, 2006, Pages 988-998

  Liang, Jin Wei ^a   Feeny, Brian F ^b  

^a MING CHI UNIVERSITY OF TECHNOLOGY   (Taiwan)

^b Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BALANCING; DAMPING; REAL TIME SYSTEMS; RESONANCE;

DAMPING PARAMETERS; DRY-FRICTION DAMPING; FORCE-DISPLACEMENT RELATIONSHIP; MECHANICAL VIBRATION;

OSCILLATORS (MECHANICAL);

EID: 33745167341     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.01.060     Document Type: Article

References (39)

1. Helmholtz H.L.F. On the sensations of tone as physiological basis for the theory of music. In: Ellis A.J. (Ed). Die Lehre von den Tonempfindungen (first edition published in 1863). fourth ed. (1877), Dover, New York 406
2. L. Rayleigh, 1877, The Theory of Sound, Vol. 1, Dover, New York, 1945, pp.46-51 (reprinted).
3. H. Lorenz, Lehrbuch der Technischen Physik. Technische Mechanik Starrer Gebilde, Erster Band. Verlag von Julius Springer, Berlin, 1924.
4. Jacobsen L.S., and Ayre R.S. Engineering Vibrations (1958), McGraw-Hill, New York
5. A. Watari, Kikai-rikigaku, Kyouritsu (publisher), 1969.
6. Feeny B.F., and Liang J.-W. A decrement method for the simultaneous estimation of Coulomb and viscous friction. Journal of Sound and Vibration 195 1 (1996) 149-154
7. Liang J.-W., and Feeny B.F. Identifying Coulomb and viscous friction from free-vibration decrements. Nonlinear Dynamics 16 (1998) 337-347
8. Stanway R., Sproston J.L., and Stevens N.G. A note on parameter estimation in nonlinear vibrating systems. Proceedings of the Institution of Mechanical Engineers 199 C1 (1985) 79-84
9. Yao G.Z., Meng G., and Fang T. Parameter estimation and damping performance of electro-rheological dampers. Journal of Sound and Vibration 204 4 (1997) 575-584
10. Chen Q., and Tomlinson G.R. Parametric identification of systems with dry friction and nonlinear stiffness using a time series model. Journal of Vibration and Acoustics 118 (1996) 252-263
11. Tomlinson G.R., and Hibbert J.H. Identification of the dynamic characteristics of a structure with Coulomb friction. Journal of Sound and Vibration 64 2 (1979) 233-242
12. Tomlinson G.R. An analysis of the distortion effects of Coulomb damping on the vector plots of lightly damped system. Journal of Sound and Vibration 71 3 (1980) 443-451
13. Iourtchenko D.V., and Dimentberg M.F. In-service identification of nonlinear damping from measured random vibration. Journal of Sound and Vibration 255 3 (2002) 549-554
14. D.V. Iourtchenko, L. Duval, M.F. Dimentberg, The damping identification for certain SDOF systems, Proceedings of the SECTAM-XX, Developments in Theoretical and Applied Mechanics, April 16-18, Callaway Gardens, Pine Mountain, GA, 2002, pp. 535-538.
15. Dimentberg M.F. Determination of nonlinear damping function from forced vibration test of a SDOF system. Mechanica Tverdogo Tela 2 (1968) 32-34 (in Russian)
16. Den Hartog J.P. Forced vibration with combined Coulomb and viscous damping. Transactions of the American Society of Mechanical Engineering 53 (1931) 107-115
17. Hundal M.S. Response of a base excited system with Coulomb and viscous friction. Journal of Sound and Vibration 64 (1979) 371-378
18. Liang J.-W., and Feeny B.F. Identifying Coulomb and viscous friction in forced dual-damped oscillators. Journal of Vibration and Acoustics 126 1 (2004) 118-125
19. Ibrahim R.A. Friction-induced vibration chatter, squeal, and chaos: part I-mechanics of friction, friction-induced vibration, chatter, squeal, and chaos. ASME Proceedings DE-49 (1992) 107-121
20. Armstrong-Hélouvry B., Dunpont P., and Canudas De Wit C. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30 7 (1994) 1083-1138
21. Oden J.T., and Martins J.A.C. Models and computational methods for dynamic friction phenomena. Computer Mechanics in Applied Mechanics and Engineering 52 1-3 (1985) 527-634
22. Liang J.-W., and Feeny B.F. Dynamical friction behavior in a forced oscillator with a compliant contact. Journal of Applied Mechanics 65 1 (1998) 250-257
23. Hinrichs N., Osetreich M., and Popp K. On the modeling of friction oscillator. Journal of Sound and Vibration 216 3 (1998) 435-459
24. Haessig D.A., and Friedland B. On the modeling and simulation of friction. Journal of Dynamic Systems, Measurement and Control 113 (1991) 354-362
25. Hess D.P., and Soom A. Friction at a lubricated line contact operating at oscillating sliding velocities. Journal of Tribology 112 (1990) 147-152
26. Rice J.R., and Ruina A.L. Stability of steady friction slipping. Journal of Applied Mechanics 50 (1983) 343-349
27. J. H. Dieterich, Micro-mechanics of slip instabilities with rate- and state-dependent friction, Volume Fall Meeting Abstract, 324, Eos, Trans., Am. Geophys. Union, 1991.
28. A. Ruina, Friction Laws and Instabilities: A Quasistatic Analysis of Some Dry Frictional Behavior, PhD Thesis, Division of Engineering, Brown University, 1980.
29. Canudas de Wit C., Olsson H., Astrom K.J., and Lischinsky P. A new model for control of systems with friction. IEEE Transactions on Automatic Control 40 3 (1995) 419-425
30. Tolstoi D.M. Significance of the normal degree of freedom and natural normal vibrations in contact friction. Wear 10 (1967) 199-213
31. Dankowicz H. On the modeling of dynamic friction phenomena. Zeitschrift fuer angewandte Mathematik und Mechanik 79 6 (1999) 399-409
32. Harnoy A., Friedland B., and Rachor B.H. Modeling and simulation of elastic and friction force in lubricated bearing for precise motion control. Wear 172 (1994) 155-165
33. McMillan A.J. A non-linear friction model for self-excited vibration. Journal of Sound and Vibration 205 3 (1997) 323-335
34. Kappagantu R.V., and Feeny B.F. Part 1: dynamical characterization of a frictionally excited beam. Nonlinear Dynamics 22 4 (2000) 317-333
35. Kappagantu R.V., and Feeny B.F. Part 2: proper orthogonal modal modeling of a frictionally excited beam. Nonlinear Dynamics 23 1 (2000) 1-11
36. W.T. Thomson, M.D. Dahleh, Theory of Vibration with Applications, Prentice-Hall, New Jersey.
37. THK, Linear Motion System, THK Co., Ltd., Catalog No.200-1AE, Tokyo, Japan, 1996.
38. Beck J., and Arnold J.K. Parameter Identification in Engineering and Science (1977), Wiley, New York
39. Bogacki P., and Shampine L.F. A 3(2) pair of Runge-Kutta formulas. Applied Mathematics Letters 2 (1989) 1-9