水平盘旋转子参数对滚动轴承系统非线性振动影响
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摘要
以双盘转子-滚动轴承系统为模型,利用有限元法建立了动力学方程,并以数值方法为手段得到转子系统振动响应,分析了机动载荷、偏心对转子系统非线性振动及分岔特性的影响,为研究更加符合实际的复杂工况耦合故障的转子动力学系统提供理论指导.研究结果表明:在水平盘旋机动飞行下,在二倍临界转速附近系统产生丰富的非线性动力学现象;随着机动载荷的增加,主共振转速提高,并且在转速区间内系统的振动形式更多趋于稳定的单周期运动.水平盘旋下,转子系统不仅能发生1/2亚谐共振,在某些参数下还产生了一些低频振动.
Based on the model of the double disc rotor-rolling bearing system,a dynamic equation was established by using the finite element method,the vibration response of the rotor system was obtained by the numerical method,and the maneuver load was analyzed. The influence of eccentricity and maneuver load on the nonlinear vibration and bifurcation characteristics of the rotor system was analyzed,which provided theoretical guidance for researching the rotor dynamic system that is more in line with the actual coupling faults under complex working conditions.There are abundant nonlinear dynamic phenomena in the system near the double critical speed.With the increase of the maneuver load,the main resonance speed increases,and the vibration forms of the system tend to stabilize the single-period motion within the rotational speed range.The rotor system can not only produce 1/2 subharmonic resonance,but also produce some lowfrequency vibrations under some parameters.
Based on the model of the double disc rotor-rolling bearing system,a dynamic equation was established by using the finite element method,the vibration response of the rotor system was obtained by the numerical method,and the maneuver load was analyzed. The influence of eccentricity and maneuver load on the nonlinear vibration and bifurcation characteristics of the rotor system was analyzed,which provided theoretical guidance for researching the rotor dynamic system that is more in line with the actual coupling faults under complex working conditions.There are abundant nonlinear dynamic phenomena in the system near the double critical speed.With the increase of the maneuver load,the main resonance speed increases,and the vibration forms of the system tend to stabilize the single-period motion within the rotational speed range.The rotor system can not only produce 1/2 subharmonic resonance,but also produce some lowfrequency vibrations under some parameters.
引文
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[9]Tse P,Wang D.State space formulation of nonlinear vibration responses collected from a dynamic rotor-bearing system:an extension of bearing diagnostics to bearing prognostics[J].Sensors,2017,17(2):1-16.
[10]张亚洲,石林锁.滚动轴承局部故障数学模型的建立与应用[J].振动与冲击,2010,29(4):73-76.(Zhang Ya-zhou,Shi Lin-suo.Establishment and application of mathematical models for rolling element bearings with localized faults[J].Journal of Vibration and Shock,2010,29(4):73-76.)
[11]张建军,王仲生,芦玉华.基于非线性动力学的滚动轴承故障工程建模与分析[J].振动与冲击,2010,29(11):30-34.(Zhang Jian-jun,Wang Zhong-sheng,Lu Yu-hua.Nonlinear dynamic modeling for localized defects in a rolling element bearing[J].Journal of Vibration and Shock,2010,29(11):30-34.)
[2]Bab S,Khadem S E,Shahgholi M,et al.Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks[J].Mechanical Systems&Signal Processing,2017,84:128-157.
[3]Fonseca C A,Santos I F,Weber H I.Influence of unbalance levels on nonlinear dynamics of a rotor-backup rolling bearing system[J].Journal of Sound&Vibration,2017,394:482-496.
[4]Bai C,Zhang H,Xu Q.Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system[J].Nonlinear Dynamics,2007,53(3):173-190.
[5]Harsha S P,Kankar P K.Stability analysis of a rotor bearing system due to surface waviness and number of balls[J].International Journal of Mechanical Sciences,2004,45(7):1057-1081.
[6]Harsha S P,Sandeep K,Pakash R.Non-linear dynamic behaviors of rolling element bearings due to surface waviness[J].Journal of Sound and Vibration,2004,272(3):557-580.
[7]梁明轩,袁惠群,蔡颖颖.滚动轴承-偏置转子系统涡摆耦合动力学特性研究[J].振动与冲击,2014,33(12):35-41.(Liang Ming-xuan,Yuan Hui-qun,Cai Ying-ying.Dynamic characteristics of a ball bearing offset disk rotor system with whirling-swing coupling[J].Journal of Vibration and Shock,2014,33(12):35-41.)
[8]Liu J,Shao Y.Dynamic modeling for rigid rotor bearing systems with a localized defect considering additional deformations at the sharp edges[J].Journal of Sound&Vibration,2017,398:84-102.
[9]Tse P,Wang D.State space formulation of nonlinear vibration responses collected from a dynamic rotor-bearing system:an extension of bearing diagnostics to bearing prognostics[J].Sensors,2017,17(2):1-16.
[10]张亚洲,石林锁.滚动轴承局部故障数学模型的建立与应用[J].振动与冲击,2010,29(4):73-76.(Zhang Ya-zhou,Shi Lin-suo.Establishment and application of mathematical models for rolling element bearings with localized faults[J].Journal of Vibration and Shock,2010,29(4):73-76.)
[11]张建军,王仲生,芦玉华.基于非线性动力学的滚动轴承故障工程建模与分析[J].振动与冲击,2010,29(11):30-34.(Zhang Jian-jun,Wang Zhong-sheng,Lu Yu-hua.Nonlinear dynamic modeling for localized defects in a rolling element bearing[J].Journal of Vibration and Shock,2010,29(11):30-34.)