基于HB-AFT方法的不对中转子系统超谐共振分析

doi:10.3901/JME.2019.13.080

机械工程学报 ›› 2019, Vol. 55 ›› Issue (13): 80-86.doi: 10.3901/JME.2019.13.080

• 特邀专栏：航空发动机健康监测与故障诊断 • 上一篇下一篇

基于HB-AFT方法的不对中转子系统超谐共振分析

李洪亮, 侯磊, 徐梅鹏, 陈予恕

哈尔滨工业大学航天学院哈尔滨 150001

收稿日期:2018-08-10 修回日期:2019-04-17 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: 侯磊(通信作者),男,1987年出生,博士,副教授。主要研究方向为非线性转子动力学。E-mail:houlei@hit.edu.cn
作者简介:李洪亮,男,1985年出生,博士。主要研究方向为非线性转子动力学。E-mail:andypang141592@163.com
基金资助:
国家重点基础研究发展计划（2015CB057400）、国家自然科学基金（11602070）和中国博士后科学基金（2018T110282）资助项目。

Superharmonic Resonance Analysis of Misaligned Rotor System Based on HB-AFT Method

LI Hongliang, HOU Lei, XU Meipeng, CHEN Yushu

School of Astronautics, Harbin Institute of Technology, Harbin 150001

Received:2018-08-10 Revised:2019-04-17 Online:2019-07-05 Published:2019-07-05

摘要/Abstract

摘要： 考虑球轴承的非线性支承力和联轴器不对中的影响，建立含套齿联轴器的偏盘转子系统动力学模型，研究系统在转子不平衡激励和联轴器不对中激励共同作用下的非线性响应特性。针对具有分段和分数指数强非线性特性的动力学方程，采用谐波平衡法-时频域转换技术（HB-AFT）求得系统的周期解，并与数值积分结果进行对比，证明HB-AFT方法的有效性。结合弧长延拓方法和Floquet理论分析转子系统的超谐波共振特性，在低速区发现若干超谐波共振区域，其中以第三次超谐波共振较为明显。在高速区发现二次超谐波共振，共振曲线具有明显的硬弹簧特征且上翘，共振峰值较大，容易发生剧烈的振动突跳行为，给转子系统造成冲击和损害。探讨轴承间隙、轴承阻尼、不对中和外加载力（定常载荷）对超谐波共振曲线的影响规律，为控制策略的制定提供了一定的参考依据。

关键词: HB-AFT方法, 超谐共振, 非线性支承, 联轴器不对中

Abstract: A dynamics model of biased-disk and nonlinear-ball-bearing rotor system is established with tooth coupling misalignment. On account of strong piecewise nonlinearity and fractional exponents in the dynamic equations, the periodic solution of the system is obtained by harmonic balance method with alternating frequency/time domain technique (HB-AFT), which is validated by the classics numerical integration method. Combined with arc-length continuations method and Floquet theory, the superharmonic resonance characteristics of the rotor system are analyzed. Several superharmonic resonance regions are found in the low speed region and the second superharmonic resonance is found in the high speed area, where resonance peak is large that could causing catastrophic impact and damage to the rotor system. The influence of bearing clearance, bearing damping, coupling-misalignment and external loading force (steady load) on the superharmonic resonance curve is discussed, which provides a consultation for the system optimization of control strategies.

Key words: coupling misalignment, HB-AFT method, nonlinear bearing, superharmonic resonance

中图分类号:

V231

李洪亮, 侯磊, 徐梅鹏, 陈予恕. 基于HB-AFT方法的不对中转子系统超谐共振分析[J]. 机械工程学报, 2019, 55(13): 80-86.

LI Hongliang, HOU Lei, XU Meipeng, CHEN Yushu. Superharmonic Resonance Analysis of Misaligned Rotor System Based on HB-AFT Method[J]. Journal of Mechanical Engineering, 2019, 55(13): 80-86.

参考文献

[1] DEWELL D L, MITCHELL L D. Detection of a misaligned disk coupling using spectrum analysis[J]. ASME Journal of Vibration and Acoustics, 1984, 106(1):9-16.
[2] AL-HUSSAIN K M, REDMOND I. Dynamic response of two rotors connected by rigid mechanical coupling with parallel misalignment[J]. Journal of Sound and Vibration, 2002, 249(3):483-498.
[3] SEKHAR A S, PRABHU B S. Effects of coupling misalignment on vibrations of rotating machinery[J]. Journal of Sound and Vibration, 1995, 185(4):655-671.
[4] 韩捷. 齿式联接不对中转子的故障物理特性研究[J]. 振动工程学报, 1996, 9(3):297-301. HAN Jie. Research on fault physical characteristics of misaligned rotor gears[J]. Journal of Vibration Engineering, 1996, 9(3):297-301.
[5] 韩捷, 石来德. 转子系统齿式联接不对中故障的运动学机理研究[J]. 振动工程学报, 2004, 17(4):416-420. HAN Jie, SHI Laide. Research on kinematics mechanism of misalignment faults in geared rotor system[J]. Journal of Vibration Engineering, 2004, 17(4):416-420.
[6] 何成兵,顾煜炯,杨昆. 齿式联接不对中转子的弯扭耦合振动特性分析[J]. 机械强度, 2005, 27(6):725-729. HE Chengbing, GU Yujiong, YANG Kun. Properties analysis on coupled lateral and torsional vibrations of the rotor connected by the gear coupling[J]. Journal of Mechanical Strength, 2005, 27(6):725-729.
[7] PATEL T H, DARPE A K. Vibration response of misaligned rotors[J]. Journal of Sound and Vibration, 2009, 325(3):609-628.
[8] PATEL T H, DARPE A K. Experimental investigations on vibration response of misaligned rotors[J]. Mechanical Systems and Signal Processing, 2009, 23(7):2236-2252.
[9] REDDY M C S, SEKHAR A S. Detection and monitoring of coupling misalignment in rotors using torque measurements[J]. Measurement, 2015, 61:111-122.
[10] 肖汉,周建中,肖剑,等. 滑动轴承-转子系统不平衡-不对中-碰摩耦合故障动力学建模及响应信号分解[J]. 振动与冲击, 2013, 32(23):159-165. XIAO Han, ZHOU Jianzhong, XIAO Jian, et al. Dynamic modeling and response signal decomposition for a sliding bearing-rotor system with unbalance-misalignment -rubbing coupled faults[J]. Journal of Vibration and Shock, 2013, 32(23):159-165.
[11] HOU Lei, CHEN Yushu, FU Yiqiang, et al. Application of the HB-AFT method to the primary resonance analysis of a dual-rotor system[J]. Nonlinear Dynamics, 2017, 88(4):2531-2551.
[12] SUN Chuanzong, CHEN Yushu, HOU Lei, et al. Steady-state response characteristics of a dual-rotor system induced by rub-impact[J]. Nonlinear Dynamics, 2016, 86(1):91-105.
[13] SAITO S. Calculation of nonlinear unbalance response of horizontal Jeffcott rotors supported by ball bearings with radial clearances[J]. ASME Journal of Vibration and Acoustics, 1985, 107(4):416-420.
[14] LI Hongliang, CHEN Yushu, HOU Lei, et al. Periodic response analysis of a misaligned rotor system by harmonic balance method with alternating frequency/time domain technique[J]. Science China Technological Sciences, 2016, 59(11):1717-1729.
[15] ZHANG Zhiyong, CHEN Yushu, LI Zhonggang. Influencing factors of the dynamic hysteresis in varying compliance vibrations of a ball bearing[J]. Science China Technological Sciences, 2015, 58(5):775-782.
[16] ZHANG Zhiyong, CHEN Yushu, CAO Qingjie. Bifurcations and hysteresis of varying compliance vibrations in the primary parametric resonance for a ball bearing[J]. Journal of Sound and Vibration, 2015, 350:171-184.

基于HB-AFT方法的不对中转子系统超谐共振分析

Superharmonic Resonance Analysis of Misaligned Rotor System Based on HB-AFT Method

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