RESPONSE ANALYSIS OF LOW-VELOCITY MOTION OF A FRICTION-INDUCED VIBRATING SYSTEM WITH NONLINEAR DAMPING UNDER PERIODIC EXCITATION
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https://doi.org/10.54939/1859-1043.j.mst.76.2021.157-166Keywords:
Dry friction; Stick – slip motion; Stribeck effect; Periodic response; Chaos.Abstract
In this study, the authors focus on an analysis of the low-velocity motion of a stick-slip vibrating system under the effect of periodic external loads and friction forces described by the LuGre model. For motion in the low-velocity domain, the LuGre model can capture the Stribeck effect in which the friction force decreases as the velocity increases. The system model contains a mass placed on a conveyor belt that moves at a near-zero constant velocity. The authors show that, under the effect of periodic loading, the behavior of the system under consideration is rich, in which periodic motions or chaotic motions may appear. Characteristics of motion are investigated in detail through a numerical computation approach.
References
[1]. A.H. Brian, "Control of Machines with Friction," Springer Science+Bussiness Media, New York 1991.
[2]. H. Olsson, K.J. Astrom, C. Canudas de Wit, M. Cafvert, P. Lischinsky, "Friction Models and Friction Compensation," European Journal of Control, 4(1998), pp. 176-195.
[3]. B. Armstrong-Helouvry, "Stick slip and control in low-speed motion," IEEE Transactions on Automatic Control, 38(1993), pp. 1483-1496.
[4]. M.J. Moharrami, C. de Arruda Martins, H. Shiri, "Nonlinear integrated dynamic analysis of drill strings under stick-slip vibration," Applied Ocean Research, 108(2021), pp. 102521.
[5]. Jih-Hua Chin, Chun-Chien Chen, "A study of stick-slip motion and its influence on the cutting process," International Journal of Mechanical Sciences, 35(1993), pp. 353-370.
[6]. S.W. Yoon, M.W. Shin, W.G. Lee, H. Jang, "Effect of surface contact conditions on the stick–slip behavior of brake friction material," Wear, 294–295 (2012), pp. 305-312.
[7]. J. Behrendt, C. Weiss, N.P. Hoffmann, "A numerical study on stick–slip motion of a brake pad in steady sliding," Journal of Sound and Vibration, 330(2011), pp. 636-651.
[8]. B. Feeny, A. Guran, N. Hinrichs, K. Popp, "A historical review on dry friction and stick-slip phenomena," Applied Mechanics Reviews, 51(1998), pp. 321-341.
[9]. S. Kato, K. Yamaguchi, T. Matsubayashi, "Stick-slip motion of machine tool slideway," Journal of Engineering for Industry, No. 73-DET-32(1974), pp. 557-565.
[10]. H.I. You, J.H. Hsia, "The influence of friction-speed relation on the occurrence of stick-slip motion," Transactions of the ASME, 117(1995), pp. 450-455.
[11]. I.V. Ponomarev, A.E. Meyerovich, "Surface roughness and effective stick-slip motion", Physical Review E, 67(2003), pp. 026302.
[12]. Y. Kligerman, M. Varenberg, "Elimination of stick-slip motion in sliding of split or rough surface," Tribology Letters, 53(2014), pp. 395-399.
[13]. W. Lin, J.P. Chavez, Y. Liu, Y. Yang, Y. Kuang, "Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control," Applied Mathematical Modelling, 82(2020), pp. 487-502.
[14]. X. Zheng, V. Agarwal, X, Liu, B. Balachandran, "Nonlinear instabilities and control of drill-string stick-slip vibrations with consideration of state-dependent delay," Journal of Sound and Vibration, 473(2020), pp. 11523.
[15]. H.S. Han, K.H. Lee, "Experimental verification of the mechanism on stick-slip nonlinear friction induced vibration and its evaluation method in water-lubricated ster," Ocean Engineering, 182(2019), pp. 147-161.
[16]. A.R. Crowther, R. Singh, "Analytical investigation of stick-slip motions in coupled brake-driveline systems," Nonlinear Dynamics, 50(2007), pp. 463-481.
[17]. C. Canudas de Wit, "Comments on: A new model for control of systems with friction," IEEE Transactions on Automatic Control, 43(1998), pp. 1189-1190.
[18]. P. Saha, M. Wiercigroch, A. Stefanski, "A modified LuGre friction model for an accurate prediction of friction force in the pure sliding regime," International Journal of Non-linear Mechanics 80(2016) 122-131.
[19]. D. Pikunov, A. Stefanski, "Numerical analysis of the friction-induced oscillator of Duffing’s type with modified LuGre friction model," Journal of Sound and Vibration, 440(2019), pp. 23-33, DOI: 10.1016/j.jsv.2018.10.003.
[20]. N. N. Hieu, P. N. Chung, "Analysis of stability and stick-slip motion of a friction-induced vibrating system with dwell-time effect," International Journal of Mechanical Sciences, 205(2021), pp. 106605.
