机车转子非线性系统的动力学分析

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摘要随着机车速度的提高，对机车的运行安全性和稳定性提出了更高的要求。本文主要研究了非线性双转子连续-质量转子系统的动力学模型，综合考虑转子支撑、齿轮啮合刚度等复合非线性因素影响。首先基于哈密尔顿最小势能原理，建立连续-质量非线性转子系统的动力学模型，对系统进行无量纲化处理，并求解了固有振动频率及振型。其次，采用MR-K迭代法求解强非线性转子系统的数值解。最后，定量分析在支撑刚度、阻尼及其齿轮刚度参数作用下，转子系统的幅频响应变化。结果表明：复杂边界条件下，系统的固有频率对传动系统振动响应影响较明显。当齿面磨损及间隙变化时，齿轮啮合刚度变大，转子系统在固有频率处位移显著增大。轮轨激励的变化，引起系统从动轴横向弯曲幅值变大。

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	杨柳1
	杨绍普2
	杨月婷2

关键词 ：非线性, 转子, 啮合刚度

Abstract：With continuous increase in locomotive speed, higher requirements are needed for the stability and operation safety of locomotives. Here, the dynamic model of a continuous mass dual-rotor system was studied considering nonlinear factors of elastic supports and gear mesh stiffness. Firstly, the dimensionless dynamic model of the continuous mass dual-rotor system was established based on Hamilton principle of minimum potential energy, and the system’s natural frequencies and corresponding vibration shapes were solved. Secondly, the numerical solution to this strong nonlinear system was solved with the MR-K iteration method. Finally, the amplitude-frequency response variations of the rotor system were analyzed quantitatively under the action of support stiffness, damping and gear time-varying stiffness. The results showed that under complex boundary conditions, the system’s natural frequencies have obvious effects on vibration responses of the transmission system; when gear tooth surface wear increases and backlash changes, the gear mesh stiffness rises, displacements of the rotor system at its natural frequencies significantly increase; changes of wheel-rail excitation cause the lateral bending amplitude of the system’s driven shaft to be larger.

Key words： nonlinear rotor mesh stiffness

收稿日期: 2017-04-11 出版日期: 2018-07-28

引用本文:

杨柳1，杨绍普2，杨月婷2. 机车转子非线性系统的动力学分析[J]. 振动与冲击, 2018, 37(15): 33-42.
YANG Liu1， YANG Shaopu2, YANG Yueting2. Dynamic behavior of a locomotive nonlinear rotor system. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(15): 33-42.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2018/V37/I15/33

[1] F.M. Dimentberg. Flexural Vibration of Rotating Shafts[M]. Butterworth, London, 1961.
[2] J. Shaw, S.W. Shaw. Instabilities and bifurcations in a rotating shaft[J]. Journal of Sound and Vibration, 1989,132 (4): 227–244.
[3] Aiming Wanga, Xiaohan Cheng. Dynamic analysis and numerical experiments for balancing of the continuous single-disc and single-span rotor-bearing system[J].Commun Nonlinear Sci Numer Simulat, 2011, 112(6):566–582.
[4] Jeffcott H H. The lateral vibration o f loaded shafts in the neighbourhood of a whirling speed[D]. Phil, Mag . 1919, 6( 37): 304— 314.
[5] Cveticanin L．Free vibration of a Jeffcott rotor with pure cubic non-linear elastic property of the shaft[J]. Mechanism and Machine Theory，2005,40(12):1330 -1344
[6] Ishida, K. Yasuda, S. Murakami. Nonstationary oscillation of a rotating shaft with nonlinear spring characteristics during acceleration through a major[J]. International Journal of Acoustics and Vibrations , 1997,11 (19) :31–36.
[7] Z. Ji, J.W. Zu. Method of multiple scales for vibration analysis of rotor–shaft systems with non-linear bearing pedestal model[J]. Journal of Sound and Vibration. 1998 ,18 (215):293–305.
[8] Diment berg FM. Flexural vibrations of spinning shafts. London: Butterworths Press; 1961.
[9] 魏静，孙清朝，孙伟. 高速机车牵引齿轮传动系统动态特性及非线性因素影响研究[J]. 振动冲击, 2012,17(31): 221-226.
WEI Jing，SUN Qing-chao, SUN Wei. Dynamic analysis and effects of nonlinear factors of a gear transmission system for high speed locomotive[J]. JOUＲNAL OF VIBＲATION AND SHOCK, 2012,17(31)：221-226.
[10] Eshleman RL, Eubanks RA. On the critical speeds of a continuous rotor. ASME Journal of Engineering for Industry 1969; 1180–8.
[11] 唐进元, 陈思雨, 钟掘. 一种改进的齿轮非线性动力学模型[J]. 工程力学, 2008, 25 (1)：217-223.
TANG Jin-yuan , CHEN Si-yu , ZHONG Jue. A IMPROVED NONLINEAR MODEL FOR A SPUR GEAR PAIR SYSTEM[J]. ENGINEERING MECHANICS,2008,25(1): 217-223.
[12] 窦唯，张楠，刘占生．高速齿轮转子系统弯扭耦合振动研究[J]．振动工程学报，2011,24(4)：385-393.
DOU Wei , Z HAN G Nan．The coupled bending and torsional vibrations of the high-speed geared rotor-bearing system[J]. Journal of Vibratio n Engineering,2011,24(4):385-393.
[13] J. Luczko, A geometrically non-linear model of rotating shafts with internal resonance and self-excited vibration, J. Sound Vib. 255 (2002) 433–456.
[14] Shiau TN, Hwang JL. Generalized polynomial expansion method for the dynamic analysis of rotor-bearing systems. ASME Journal of Engineering for Gas Turbines and Power 1993;115:209–17.
[15] A.B.Palazzolo，E.J.Gunter. Model Balancing of a Multi-Mass Flexible Rotor Without Trial Weights[J].The American Society of Mechanical Engineers . 2006,32(11);383–396.
[16] K. KANE and B. J. TORBY. The extended modal reduction method applied to rotor dynamic problems[J]. ASME Journal of Vibration and Acoustics, 1991,113：79-84.
[17] Gupta K D, Gupt a K .Unbalance response of a dual rotor system:theory and experiment[J].Journal of Vibration and Acoustics. 1993,115:427-435.
[18] Timoshenko,S. Vibration problems in engineeiring.3rd ed. D. Van Nostrand Company,1955.
[19]WU S，ZUO M J，PAREY A. Simulation of spur gear dynamics and estimation of fault growth[J]. Journal ofSound and Vibration，2008，317(3)：608-624