不对中-不平衡故障影响下的几何非线性转子振动行为研究

PDF(2665 KB)

振动与冲击 ›› 2021, Vol. 40 ›› Issue (7) : 45-52.

论文

杨洋1，伍小莉1，许余乾2，杨翊仁1，曹登庆2

作者信息 +

Vibration behaviour of a geometrically nonlinear rotor under misalignment-unbalance coupled fault

YANG Yang1, WU Xiaoli1, XU Yuqian2, YANG Yiren1, CAO Dengqing2

Author information +

文章历史 +

摘要

为了研究大幅涡动过程中转轴的几何非线性，利用Hamilton原理建立了转轴的等效动力学模型，其中综合等效线性刚度和等效非线性刚度来反映转轴的几何非线性特征。在此基础上，考虑了齿式联轴器的不对中故障和转盘的不平衡故障，进一步研究了耦合故障作用下几何非线性转子系统的动力学行为。通过对比线性转子和非线性转子的响应差异，来分析转轴几何非线性对系统振动特性的潜在影响，并围绕联轴器的不对中程度、转轴半径和转轴长度等参数进行讨论。

Abstract

To investigate the geometric nonlinearity of a rotor in whirling with large amplitude, Hamilton principle was utilized to set up its equivalent dynamic model with both equivalent linear stiffness and equivalent nonlinear one revealing its geometrically nonlinear characteristics. Then, the misalignment fault of gear coupling and the unbalance fault of rotating disc were considered, and dynamic behavior of the geometrically nonlinear rotor system under misalignment-unbalance coupled fault was further studied. Finally, by comparing the response difference between linear rotor and nonlinear rotor, potential influences of rotor geometric nonlinearity on vibration characteristics of the system were analyzed, and effects of parameters, such as, misalignment degree of coupling, rotor radius and rotor length were discussed.

导出引用

杨洋1，伍小莉1，许余乾2，杨翊仁1，曹登庆2. 不对中-不平衡故障影响下的几何非线性转子振动行为研究[J]. 振动与冲击, 2021, 40(7): 45-52

YANG Yang1, WU Xiaoli1, XU Yuqian2, YANG Yiren1, CAO Dengqing2. Vibration behaviour of a geometrically nonlinear rotor under misalignment-unbalance coupled fault[J]. Journal of Vibration and Shock, 2021, 40(7): 45-52

参考文献

［1］LI M, YU L. Analysis of the coupled lateral torsional vibration of a rotor-bearing system with a misaligned gear coupling［J］. Journal of Sound and Vibration, 2001, 243(2): 283-300.
［2］闻邦椿，顾家柳，夏松波，等. 高等转子动力学［M］. 北京: 机械工业出版社，2000.

［3］夏松波，张新江，刘占生，等. 旋转机械不对中故障研究综述［J］. 振动、测试与诊断，1998, 18(3): 157-161.
XIA Songbo, ZHANG Xinjiang, LIU Zhansheng, et al. A survey of research on misalignment of rotary machinery［J］. Journal of Vibration, Measurement & Diagnosis, 1998, 18(3): 157-161.
［4］XU M, MARANGONI R D. Vibration analysis of a motor flexible coupling-rotor system subject to misalignment and unbalance, part I: theoretical model and analysis［J］. Journal of Sound and Vibration, 1994, 176(5): 663-679.
［5］XU M, MARANGONI R D. Vibration analysis of a motor flexible coupling-rotor system subject to misalignment and unbalance, part II: experimental validation［J］. Journal of Sound and Vibration, 1994, 176(5): 681-691.
［6］AL-HUSSAIN K M. Dynamic stability of two rigid rotors connected by a flexible coupling with angular misalignment［J］. Journal of Sound and Vibration, 2003, 266(2): 217-234.
［7］万召，荆建平，孟光，等. 弹性联轴器不对中转子-轴承系统的非线性动力特性及稳定性研究［J］. 振动与冲击，2012, 31(24): 20-25.
WAN Zhao, JING Jianping, MENG Guang, et al. Nonlinear dynamic behaviors and stability of a rotor-bearing system with flexible coupling misalignment［J］. Journal of Vibration and Shock, 2012, 31(24): 20-25.
［8］李全坤，廖明夫，蒋云帆. 双转子不对中故障振动特性分析［J］. 机械科学与技术，2014, 33(12): 1916-1920.
LI Quankun, LIAO Mingfu, JIANG Yunfan. The vibration features analysis of twin spool rotor with misalignment fault ［J］. Mechanical Science and Technology for Aerospace Engineering, 2014, 33(12): 1916-1920.
［9］李明，李自刚. 联轴器不对中故障转子系统的动力学试验［J］. 振动、测试与诊断，2015, 35(2):345-351.
LI Ming, LI Zigang. Theoretical and experimental study on dynamics of rotor-bearing system with the faults of coupling misalignment［J］. Journal of Vibration, Measurement & Diagnosis, 2015, 35(2): 345-351.
［10］李自刚，李明，江俊. 不对中联轴器-柔性转子系统非线性动力学行为［J］. 动力学与控制学报，2014, 12(1): 30-35.
LI Zigang, LI Ming, JIANG Jun. Nonlinear dynamics of a flexible rotor system coupled by a misaligned coupling［J］. Journal of Dynamics and Control, 2014, 12(1): 30-35.
［11］陈果，李兴阳. 航空发动机整机振动中的不平衡-不对中-碰摩耦合故障研究［J］. 航空动力学报，2012，27(8)：1887-1894.
CHEN Guo, LI Xingyang. Study on imbalance-misalignment-rubbing coupling faults in aero-engine vibration［J］. Journal of Aerospace Power, 2012, 27(8): 1887-1894.
［12］ZHANG H B, CHEN Y S. Bifurcation analysis on full annular rub of a nonlinear rotor system［J］. Science in China Series E: Technology Sciences, 2011, 54(8): 1971-1985.
［13］CVETICANIN L. Resonant vibrations of nonlinear rotors［J］. Mechanism and Machine Theory, 1995, 30(4): 581-588.
［14］罗跃纲，李振平，曾海泉，等. 非线性刚度转子系统碰摩的混沌行为［J］. 东北大学学报（自然科学版），2002，23(9)：895-898.
LUO Yuegang, LI Zhenping, ZENG Haiquan, et al. Chaos behavior of nonlinear rigidity rotor system with rubbing fault ［J］. Journal of Northeastern University (Natural Science), 2002, 23(9): 895-898.
［15］罗贵火，周海仑，王飞，等. 含滚动轴承的同向和反向旋转双转子系统动力学响应［J］. 航空动力学报，2012，27(8)：1887-1894.
LUO Guihuo, ZHOU Hailun, WANG Fei, et al. Dynamic response of co-rotating and counter-rotating dual-rotor system supported on ball bearing［J］. Journal of Aerospace Power, 2012, 27(8): 1887-1894.
［16］YANG Y, CAO D Q, XU Y Q. Rubbing analysis of a nonlinear rotor system with surface coatings［J］. International Journal of Non-Linear Mechanics, 2016, 84: 105-115.