作者：代春香¹, 李三雁¹, 何泽银²

作者单位：1. 成都锦城学院，四川 成都 611731;
2. 重庆交通大学，重庆 400074

关键词：城市轨道交通;齿轮系统;偏心故障;振动响应

摘要：

以山区曲线半径较小的城市轨道交通传动齿轮系统为例，提出一种计算偏心故障时齿轮系统内部动力激励的方法。首先，建立含偏心故障的齿轮几何模型，以螺距点为边界将偏心故障下的斜齿轮副接触线分成两段，计算齿轮副的摩擦激振力，得到齿轮副偏心故障对摩擦激励的影响规律。其次，建立偏心故障齿轮系统的多自由度集中质量动力学模型，得到齿轮系统的动态啮合力。最后，以动态啮合力为内部动力激励，采用模态叠加法研究齿轮系统的振动特性，并对计算结果和实验结果进行对比分析。结果表明，仿真结果与实验结果吻合较好，偏心故障动态响应的频域分量与试验结果的关系更为密切，研究结果可为齿轮系统偏心故障的早期监测提供理论依据。

Research on internal dynamic excitation and vibration response of eccentric fault gear system
DAI Chunxiang¹, LI Sanyan¹, HE Zeyin²
1. Chengdu Jincheng College, Chengdu 611731, China;
2. Chongqing Jiaotong University, Chongqing 400074, China
Abstract: An approach to calculate internal dynamic excitation of gear system with the eccentric fault is developed taking the urban rail transit with smaller radius of curve driving gear system in the mountainous area for example. Firstly, the gear geometry model with eccentric fault is established. The frictional excitation force of the gear pairs is calculated dividing the contact lines of helical gear pairs under eccentric fault into two sections taking the pitch point as the boundary. The influence rule of the gear pair eccentric fault on friction excitation is obtained. Then, a multi-degree-of-freedom lumped mass dynamic model of gear system with eccentric fault is established and the dynamic meshing force is obtained. Last, taking the dynamic meshing force as the internal dynamic excitation, the vibration characteristics of gear system are studied by means of modal superposition method. The comparison analysis of calculational and experimental results is carried out. The result shows that the simulation result is in good agreement with the experimental result. The frequency domain components of dynamic response with eccentric fault are more closely related to the test result. In fact, the study result would provide a theoretical basis for the early eccentric fault monitoring of the gear system.
Keywords: urban rail transit;gear system;eccentric fault;vibration response
2024, 50(4):38-44  收稿日期: 2023-05-22;收到修改稿日期: 2023-07-25
基金项目: 重庆市基础研究与前沿技术研究计划(cstc2016jcyjA0514，cstc2017jcyjAX0053)；重庆市博士后项目(Xm2017191)；机械传动国家重点实验室开放课题(SKLMT-KFKT-201706)
作者简介: 代春香(1986-),女,四川遂宁市人,副教授,硕士,研究方向为机械设计、机械电子工程、智能制造和数控技术等。
参考文献
[1] 林腾蛟, 李润方, 陶泽光. 齿轮传动三维间隙非线性冲击─动力接触特性数值仿真[J]. 机械工程学报, 2000(6): 55-58.
LIN T J, LI R F, TAO Z G. Numerical simulation of three-dimensional clearance nonlinear impact dynamic contact characteristics in gear transmission[J]. Journal of Mechanical Engineering, 2000(6): 55-58.
[2] 李群超, 张方, 蒋祺, 等. 针摆减速器振动噪声特性仿真分析[J]. 国外电子测量技术, 2019, 38(1): 106-111.
LI Q C, ZHANG F, JIANG Q, et al. Simulation analysis of vibration and noise characteristics of a needle pendulum reducer[J]. Foreign Electronic Measurement Technology, 2019, 38(1): 106-111
[3] 何坤敏, 王霄, 杨靖, 等. 基于RF特征优选和WOA-ELM的风电齿轮箱故障诊断[J]. 电子测量技术, 2023, 46(5): 57-64.
HE K M, WANG X, YANG J, et al. Fault diagnosis of wind power gearbox based on RF feature selection and WOA-ELM[J]. Electronic Measurement Technology, 2023, 46(5): 57-64.
[4] 刘新厂, 陈春俊. 机车齿轮箱齿根裂纹故障解调方法研究[J]. 中国测试, 2022, 48(1): 20-26.
LIU X C, CHEN C J. Research on demodulation method of gear root crack fault in locomotive gearbox[J]. China Measurement ＆ Test, 2022, 48(1): 20-26.
[5] TENGJIAO L, ZEYIN H.  Analytical method for coupled transmission error of helical gear system with machining errors, assembly errors and tooth modifications[J]. Mechanical Systems and Signal Processing, 2017, 91(7): 167-182.
[6] 魏静, 孙清超, 孙伟, 等. 大型风电齿轮箱系统耦合动态特性研究[J]. 振动与冲击, 2012, 31(8): 16-23.
WEI J, SUN Q C, SUN W, et al. A study on the coupled dynamic characteristics of large wind power gearbox systems[J]. Journal of Vibration and Shock, 2012, 31(8): 16-23.
[7] TENGJIAO L, ZEYIN H, FEIYU G, et al. Prediction and experimental study on structure and radiation noise of subway gearbox[J]. Journal of Vibroengineering, 2013, 15 (4) : 1838~1846.
[8] 谭建军, 李浩, 杨书益, 等. 重载工况下行星齿轮传动啮合偏载分析[J]. 中国机械工程, 2023, 34(13): 1513-1524.
TAN J J, LI H, YANG S Y, et al. Analysis of meshing misalignment in planetary gear transmission under heavy load conditions[J]. China Mechanical Engineering, 2023, 34(13): 1513-1524.
[9] 蔡波, 黄晋英, 杜金波, 等. 基于MEEMD多特征融合与LS-SVM的行星齿轮箱故障诊断[J]. 中国测试, 2021, 47(9): 126-132.
CAI B, HUANG J Y, DU J B, et al. Planetary gearbox fault diagnosis based on MEEMD multi-feature fusion and LS-SVM[J]. China Measurement ＆ Test, 2021, 47(9): 126-132.
[10] 蒋宇涵, 华春蓉, 熊丽波, 等. 含裂纹轮对的振动特性分析及裂纹参数识别[J]. 中国测试, 2022, 48(1): 154-159.
JIANG Y H, HUA C R, XIONG L B, et al. Vibration characteristics analysis and crack parameters identification of cracked wheelset[J]. China Measurement ＆ Test, 2022, 48(1): 154-159.
[11] PARK C I. Characteristics of noise generated by axial excitation of helical gears in shaft-bearing-plate system[J]. Journal of Mechanical Science & Technology, 2015, 29(4): 1571-1579.
[12] ZE Y H , TENG J L , TIAN H L. Airborne noise optimization design of gear system[J]. Noise Control Engineering Journal, 2016, 64 (2) : 115-125.
[13] 何泽银. 齿轮系统传动误差耦合分析与振动噪声优化研究[D]. 重庆: 重庆大学, 2015.
HE Z Y. Transmission error analysis and optimization research on vibration and noise of gear system [D]. Chongqing: Chongqing University, 2015.