研究了一类由分段阻尼和弹簧及改进的LuGre动摩擦构成的非光滑振动系统的动力学行为。建立了含改进的LuGre动摩擦的非光滑振动系统的力学模型和运动方程,分析了系统的运动转换过程,通过数值仿真探讨了系统在滑移-黏滞-碰撞接触-颤振之间转换的动力学行为。结果表明:在一定的系统参数下,系统存在摩擦诱导周期黏滞颤振碰撞、周期黏滞碰撞等复杂多样的摩擦诱导振动形式。
Abstract
Dynamical behaviors of a nonsmooth vibration system containing segmented damping, segmented spring and modified LuGre dynamic friction were investigated. The mechanical model and kinematic equation of the system were established. The movement transformation processes of the system were analyzed. The dynamical behaviors of the system, which converts among the modes of slipping, sticking, oscillation contact and chattering, were discussed by numerical simulations. The results show that the complex and diverse forms of the friction induced vibration like the friction induced stickingchattering vibration,the friction induced sticking vibration, etc.exist in the system with definite system parameters.
关键词
非光滑系统 /
摩擦诱导振动 /
分岔 /
颤振 /
动摩擦
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Key words
non-smooth system /
friction-induced vibration /
bifurcation /
chattering /
dynamic friction
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参考文献
[1] CONE K M, R I ZADOKS. A numerical study of an impact oscillator with the addition of dry friction [J]. Journal of Sound and Vibration, 1995. 188(5): 659-683.
[2] LUO G W, X H LV, L MA. Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider [J]. European Journal of Mechanics- A/Solids, 2008. 27(6): 1088-1107.
[3] SOOBBARAYEN K, S BESSET, J J SINOU. Noise and vibration for a self-excited mechanical system with friction [J]. Applied Acoustics, 2013. 74(10): 1191-1204.
[4] LICSKÓ G, G CSERNÁK. On the chaotic behaviour of a simple dry-friction oscillator [J]. Mathematics and Computers in Simulation, 2014. 95(1): 55-62.
[5] ANDREAUS U, P CASINI. Friction oscillator excited by moving base and colliding with a rigid or deformable obstacle [J]. International Journal of Non-Linear Mechanics, 2002. 37(1): 117-133.
[6] Xu L, M W Lu, Q Cao. Bifurcation and chaos of a harmonically excited oscillator with both stiffness and viscous damping piecewise linearities by incremental harmonic balance method [J]. Journal of Sound and Vibration, 2003. 264(4): 873-882.
[7] Xu L, M W Lu, Q Cao. Nonlinear vibrations of dynamical systems with a general form of piecewise-linear viscous damping by incremental harmonic balance method [J]. Physics Letters A, 2002. 301(1–2): 65-73.
[8] 丁旺才, 张有强. 干摩擦对碰撞振动系统周期运动的影响分析[J]. 振动与冲击, 2009. 28(6).110-112.
DING Wang-cai, ZHANG You-qiang. Analysis of dry friction on vibro-impact system period motion effect [J]. Journal of vibration and shock, 2009. 28(6): 110-112.
[9] 钱大帅, 刘占生, 刘镇星等. 干摩擦质块双黏着运动响应的级数形式解及黏滑边界分析[J]. 振动与冲击, 2013.32(09): 73-78.
QIAN Da-shuai, LIU Zhan-sheng, LIU Zhen-xing, et al. Series solution of double-stick motion response of dry friction oscillator and stick-slip boundary analysis [J]. Journal of Vibration and Shock, 2013.32(09): 73-78.
[10] LIU Y, EKATERINA P, MARIAN W, et al. Forward and backward motion control of a vibro-impact capsule system [J]. International Journal of Non-Linear Mechanics, 2015. 70(4): 30-46.
[11] CANUDAS DE WIT C, OLSSON H, ASTROM K J, et al. A new model for control of systems with friction [J]. IEEE Transactions Automatic Control. 1995.40(3): 419– 425.
[12] HOFFMANN N P. Linear stability of steady sliding in point contacts with velocity dependent and LuGre type friction [J]. Journal of Sound and Vibration, 2007.301(3- 5): 1023-1034.
[13] SAHA A, P WAHI. An analytical study of time-delayed control of friction-induced vibrations in a system with a dynamic friction model [J]. International Journal of Non-Linear Mechanics, 2014. 63: 60-70.
[14] SAHA A, WIERCIGROCH M, JANKOWSKI K, et al. Investigation of two different friction models from the perspective of friction-induced vibrations [J]. Tribology International, 2015. 90(10): 185-197.
[15] SAHA A, WAHI P, WIERCIGROCH M, et al. A modified LuGre friction model for an accurate prediction of friction force in the pure sliding regime [J]. International Journal of Non-Linear Mechanics, 2016. 80: 122-131.
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