考虑温粘热效应的滑动轴承-转子系统动态响应分析

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摘要针对滑动轴承中润滑油温度的不稳定变化而引起的转子系统振动问题，从油膜润滑的雷诺方程出发，在Gumbel油膜边界条件假设下，推导出短轴承的非线性油膜力的计算公式。将润滑油温度变化时粘度的变化考虑在内，采用四阶Runge-Kutta法求解系统微分方程得到转子-轴承系统运动的时域图、轴心轨迹图、Poincaré图、频谱图、瀑布图和分岔图，分析滑动轴承-转子系统在润滑油温度变化下的动态响应。结果表明，使用不同润滑油时，温粘系数较大的润滑油对转子二阶临界转速附近的拟周期和混沌运动有更好的抑制作用；润滑油温度的升高有利于转子系统在低转速范围运行的稳定性，但在二阶临界转速附近，发生油膜涡动和油膜振荡所对应的转速区域会有所延长，不利于转子-轴承系统的运行。

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	赵道利1
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	马晓栋1
	孙维鹏1
	万天虎3
	罗兴锜1
	2

关键词 ：滑动轴承-转子系统, 非线性油膜力, 短轴承, 质量偏心距, 润滑油温度

Abstract：Aiming at the rotor system vibration caused by the unstable temperature change of lubricating oil in sliding bearings, the nonlinear oil film force of a short bearing was derived under the Gumbel boundary assumption.Considering the temperature-driven oil viscosity change, the fourth-order Runge-Kutta method was used to solve the differential equation of the system.The time history, phase portrait, Poincaré diagram, power spectrum, cascade spectra, and bifurcation diagram were obtained to investigate the dynamic responses of the rotor-bearing system.The results show that the oil with high temperature-viscous coefficient has better inhibition effect on the quasi-periodic and chaotic motion near the second-order critical speed of the rotor.The increase of oil temperature is beneficial to the stability of the rotor system under low-speed range, but the rotational speed region corresponding to the phenomenon of oil film whirl and whip will be prolonged in the vicinity of the second-order critical speed.

Key words： sliding bearing-rotor system nonlinear oil-film force short bearing mass eccentricity oil temperature

收稿日期: 2018-11-09 出版日期: 2019-09-15

引用本文:

赵道利1,2，马晓栋1，孙维鹏1，万天虎3，罗兴锜1,2. 考虑温粘热效应的滑动轴承-转子系统动态响应分析[J]. 振动与冲击, 2019, 38(18): 95-102.
ZHAO Daoli 1,2, MA Xiaodong 1, SUN Weipeng 1, WAN Tianhu 3, LUO Xingqi 1,2. Dynamic response analysis of a sliding bearing-rotor system considering thermal effects. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(18): 95-102.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I18/95

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