Sage Journals: Discover world-class research

Abstract

A single-degree-of-freedom suspension system with a magnetorheological (MR) damper is studied. A Bouc-Wen hysteretic model is adopted to represent the nonlinear hysteretic damping force of an MR damper. The model parameter identification process is carried out based on the experimental data. The equivalent linearization and the averaging methods are employed to simplify the hysteretic nonlinear model of the system, and to obtain the system response under sinusoidal base excitation. The results obtained by these two approximate methods are compared with the results obtained from the experiments and the numerical simulation method when a swept sine excitation with amplitudes of 0.5 and 0.75 mm is applied to the system. The comparison shows that the results obtained by the equivalent linearization method and the averaging method are very similar and have a good agreement with both the experimental and the numerical results. Moreover, the effects of the hysteretic model parameters are investigated after the system dynamical equations are nondimensionalized.

Keywords

magnetorheological (MR) damper equivalent linearization method averaging method suspension system

Get full access to this article

View all access options for this article.

References

Bogoliubov, N. and Mitropolsk, A. 1963. “Asympotic Methods in the Theory of Nonlinear Oscillations,” 2nd version, Gordon and Breach, New York .

Booton, R.C. , Mathews, M.V. and Seifert, W.W. 1954. “Non-linear Control Systems with Random Inputs,” IRE Trans. Circuit Theory, CT-1: 9-18 .

Capecchi, D. , Masiani, R. and Vestroni, F. 1999. “Response of Hysteretic Multidegree-of-freedom Systems Using Harmonic Balance Method,” In: Proceeding of the ASME Design Engineering Technical Conferences, Sept. 12-15, Las Vgas, Nevada, USA, pp. 1-7 .

Caughey, T.K. 1963. “Equivalent linearization techniques,” Journal of the Acoustical Society of America, 35(11): 1706-1711 .

Dyke, S.J. , Spencer, B.F. , Sain, M.K. and Carlson, J.D. 1996. “Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction,” Smart Materials and Structures, 5: 565-575 .

Foliente, G.C. 1996. “Equivalent Linearization of Generally Pinching Hysteretic, Degrading System,” Earthquake Engineering and Structural Dynamics, 25: 611-629 .

Hurtado, J.H. and Barbat, A.H. 1996. “Improved Stochastic Linearization Method Using Mixed Distribution,” Structural Safety, 18(1): 49-62 .

Iwan, W.D. Dec. 1965a. “Bilinear Hysteretic Model,” Journal of Applied Mechanics, 921-925 .

Iwan, W.D. 1965b. “The Steady-state Response of a Two-degree-freedom Bilinear Hysteretic System,” Journal of Applied Mechanics, 151-156 .

10.

Jazar, G.N. , Golnaraghi, M.F. and Swanson, D.A. 2001. “Steady State Vibration of a Piece Wise Linear System,” In: ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Sept. 9-12, Pittsburgh, Pennsylvania.

11.

Krylov, N. and Bogoliubov, N. 1937. “Introduction a La Mechanique Nonlineaire: Les Methods Approaches et Asymptotices,” Ukr. Akad. Nauk. Inst. De la Mecanique, Chaire de Phys. Math. Ann, Translated by S. Lefshetz in Ann Math. Studies, n11, Princeton, NJ, USA, 1947.

12.

Michael, J.C. and Carlson, J.D. 2001. “MR Fluid Sponge Devices and Their use in Vibration Control of Washing Machines,” In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 4331, pp. 370-378 .

13.

Sims, N.D. , Peel, D.J. , Stanway, R. , Johnson, A.R. and Bullough, W.A. 2000. “The Electrorheological Long-stroke Damper: A New Modeling Technique with Experimental Validation,” Journal of Sound and Vibration, 229: 207-227 .

14.

Spencer, B.F. , Dyke, D.T. , Sain, M.K. and Carlson, J.D. 1997. “Phenomenological Studies of a Magnetorheological Damper,” Journal of Engineering Mechanics, 123(3): 230-238 .

15.

Wen, Y.K. and Asce, M. 1976. “Method for Random Vibration of Hysteretic Systems,” Journal of the Engineering Mechanics Division, 102(EM2): 249-263 .

16.

Wereley, N.M. , Pang L. and Kamath G.M. 1999. “Idealized Hysteresis Modeling of Electrorheological and Magnetorheological Dampers,” Journal of Intelligent Material Systems and Structures, 9: 642-649 .

17.

Wong, C.W. , Ni, Y.Q. and Lau, S.L. 1994. “Steady-state Oscillation of Hysteretic Differential Model. I: Response Analysis,” Journal of Engineering Mechanism, ASCE 120(11): 2271-2297 .

Analytical and Experimental Study of the Response of a Suspension System with a Magnetorheological Damper

Abstract

Keywords

Get full access to this article

References