Abstract
Friction-induced vibration is an important phenomenon with adverse effects on many dynamic systems involving friction. In this study, a very simple and well-known one-dimensional friction-induced dynamic system is considered in which the novel PZT stack impulse damper is incorporated into the system. It has been shown that by appropriately tuning the damping parameters, the chaotic behavior is removed quickly and efficiently. It has also been demonstrated that the system is sensitive to parameter change, and minimal modification of these parameters can revert the chaotic or periodic motion.
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References
Y. Li and Z. C. Feng, Bifurcation and chaos in friction-induced vibration, Communications in Nonlinear Science and Numerical Simulation, 9 (2004) 633–647.
J. T. Oden, J. A. C. Martins, Models and computational methods for dynamic friction phenomena, 52 (1985) 527–634.
J. A. C. Martins, J. T. Oden and F. M. F. Simoes, A study of static and kinetic friction, International Journal of Engeneering Science, 28(1) (1990) 29–92.
C. Canudas de Wit, H. Olsson, K. J. Astrom and P. Lischinsky, A new model for control of systems with friction, IEEE Transactions on Automatic Control, 40(3) (1995) 419–425.
N. Lapusta, J. R. Rice, Y. Ben-Zion and G. Zheng, Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction, Journal of Geophysical Research, 105 (2000) 23765–23789.
J. R. Rice, N. Lapusta and K. Ranjith, Rate and state dependent friction and the stability of sliding between elastically deformable solids, Journal of the Mechanics and Physics of Solids, 49 (2001) 1865–1898.
S. W. Shaw, On the dynamic response of a system with dry friction, Journal of Sound and Vibration, 108(2) (1986) 305–325.
S. Chatterjee, On the principle of impulse damper: A concept derived from impact damper, Journal of Sound and Vibration, 312 (2008) 584–605.
M. T. Bengisu and A. Akay, Stability of friction-induced vibrations in multi-degree-of-freedom systems, Journal of Sound and Vibration, 171 (1994) 557–570.
J. M. Han, T. A. Adriaens, W. L. deKoning and T. Banning, Modelling piezoelectric actuators, IEEE/ASME Transactions on Mechatronics, 5(4) (2000) 331–341.
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This paper was recommended for publication in revised form by Editor Yeon June Kang
Ali Asghar Atai received his B.Sc. in Mechanical Engineering from the University of Tehran, Iran in 1990. He obtained his M.Sc. and Ph.D from the University of Alberta, Canada in 1994 and 1998, respectively. He is currently a professor at the Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Iran. His areas of research interest include flexible structural mechanics, continuous media, and dynamics of machines. He is also a lecturer in the Department of Mechanical Engineering, University of Tehran.
Mansour Ataei received his B.S. degree in Mechanical Engineering from University of Tehran, Iran, in 2007. Now he is an student of M.S. in this University. His research in-terests include control of vibrations, Robotics, Mechatronics, and auto-nomous vehicles.
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Ataei, M., Atai, A.A., Mirjavadi, S. et al. Application of impulse damper in control of a chaotic friction-induced vibration. J Mech Sci Technol 25, 279–285 (2011). https://doi.org/10.1007/s12206-010-1116-7
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DOI: https://doi.org/10.1007/s12206-010-1116-7