Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility

doi:10.7652/xjtuxb202103015

您当前的位置：

首页 >

文章列表页 >

Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility

更新时间：2025-07-09

- Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility
- Vol. 55, Issue 3, Pages: 126-135(2021)
- 作者机构：
  
  新疆大学机械工程学院,乌鲁木齐,830047
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202103015
  CLC： TH17;TH132.4
- Online First：10 March 2021，
  
  Published：2021
- 稿件说明：
移动端阅览
Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility[J]. 2021, 55(3): 126-135.
DOI：

Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility[J]. 2021, 55(3): 126-135. DOI： 10.7652/xjtuxb202103015.

摘要

为有效评估齿轮传动系统损伤程度及检测其生命周期异样

综合考虑传动轴柔性及轴承支撑刚度对传动系统响应的影响

建立了计入传动轴柔性的二级齿轮传动系统损伤动力学模型。建模时

结合有限元法引入了不同损伤程度下的齿轮时变啮合刚度

采用Newmark积分法求解了不同状态下的轴承振动响应

并采用Lempel-Ziv复杂度以评价齿轮运行状态。在试验方面

针对采集信号信噪比不理想等问题

提出了一种变分模态分解(VMD)与Lempel-Ziv复杂度结合的齿轮损伤程度评价算法。仿真及试验结果表明:齿轮故障致使振动信号时频域产生转频调制

且随着损伤程度的增加

调制现象越明显

周期性冲击愈显著; Lempel-Ziv复杂度在齿轮整个生命周期呈现先增后减的趋势

在早期故障时

Lempel-Ziv复杂度最为敏感; 采用VMD-Lempel-Ziv算法可在噪声环境中对系统进行有效的劣化分析。研究结果验证了采用Lempel-Ziv复杂度指标衡量齿轮损伤程度的可行性与有效性

可为齿轮箱状态检测提供理论依据。

Abstract

In order to effectively evaluate the damage degree and detect the abnormal life cycle of gear drive system

a damage dynamic model of secondary gear drive system was established

taking into account the influence of the flexibility of drive shaft and the rigidity of bearing support on the response of the transmission system. In modeling

time-varying stiffness of gear mesh with different degree of damage is introduced in combination with finite element method

Newmark integration method is used to solve bearing vibration response under different conditions

and Lempel-Ziv complexity is used to evaluate gear running state. In terms of test

a gear damage degree evaluation algorithm combining variable mode decomposition(VMD)and Lempel-Ziv complexity is put forward to solve the problem of poor signal-to-noise ratio of collected signal. The results show that gear failure causes frequency conversion modulation of vibration signal in time-frequency domain

and with the increase of damage degree

the modulation phenomenon is more obvious and periodic impact is more significant; Lempel-Ziv complexity increases first and then decreases throughout the life cycle of gear

and Lempel-Ziv complexity is the most sensitive in early failure; VMD-Lempel-Ziv algorithm can improve the system in noise environment. An effective deterioration analysis is performed. The analysis results indicate the feasibility and validity of using Lempel-Ziv complexity index to measure gear damage. The research results can provide theoretical basis for gear boxes condition detection.

关键词

Keywords

references

PARKER R G, VIJAYAKAR S M, IMAJO T. Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons [J]. Journal of Sound and Vibration, 2000, 237(3): 435-455.

PARKER R G, AGASHE V, VIJAYAKAR S M. Dynamic response of a planetary gear system using a finite element/contact mechanics model [J]. ASME Journal of Mechanical Design, 2000, 122(3): 304.

HOWARD I, JIA Shengxiang, WANG Jiande. The dynamic modelling of a spur gear in mesh including friction and a crack [J]. Mechanical Systems Signal Processing, 2001, 15(5): 831-853.

WU Siyan, ZUO M J, ANAND P. Simulation of spur gear dynamics and estimation of fault growth [J]. Journal of Sound Vibration, 2008, 317(3/4/5): 608-624.

张建宇, 刘鑫博, 张飞斌. 裂纹齿轮啮合刚度的劣化特性 [J]. 振动、测试与诊断, 2014, 34(6): 1124-1128.

ZHANG Jianyu, LIU Xinbo, ZHANG Feibin. Degradation characteristics of meshing stiffness of spur gears with root crack [J]. Journal of Vibration, Measurement Diagnosis, 2014, 34(6): 1124-1128.

曲震, 胡殿印, 张冰, 等. 航空发动机齿轮副动态啮合过程与齿根裂纹扩展轨迹影响因素研究 [J]. 推进技术, 2019, 40(12): 2797-2805.

QU Zhen, HU Dianyin, ZHANG Bing, et al. Investigation on dynamic meshing process and factors influencing root crack propagation trajectory of an aero-engine gear pair [J]. Journal of Propulsion Technology, 2019, 40(12): 2797-2805.

NERIYA R B. Coupled torsional flexural vibration of a geared shaft system using finite element method [J]. Shock Vibration Bulletin, 1985, 55(3): 13-25.

常乐浩, 贺朝霞, 刘更. 平行轴齿轮传动系统动力学建模的有限单元法 [J]. 振动与冲击, 2016, 35(20): 47-53.

CHANG Lehao, HE Zhaoxia, LIU Geng. Dynamic modeling of parallel shaft gear transmissions using finite element method [J]. Journal of Vibration and Shock, 2016, 35(20): 47-53.

王胜男, 阿达依·谢尔亚孜旦, 章翔峰, 等. 考虑轴柔性的二级齿轮减速器振动噪声研究 [J]. 西安交通大学学报, 2020, 54(9): 117-127.

WANG Shengnan, ADAYI Xieeryazidan, ZHANG Xiangfeng, et al. Vibration and noise analysis for two-stage gear reducer considering shaft flexibility [J]. Journal of Xi'an Jiaotong University, 2020, 54(9): 117-127.

DYER D, STEWART R M. Detection of rolling element bearing damage by statistical vibration analysis [J]. ASME Journal of Mechanical Design, 1978, 100(2): 229.

LEMPEL A, ZIV J. On the complexity of finite sequences [J]. IEEE Transactions on Information Theory, 1976, 22(1): 75-81.

窦东阳, 赵英凯. 基于EMD和Lempel-Ziv指标的滚动轴承损伤程度识别研究 [J]. 振动与冲击, 2010, 29(3): 5-8.

DOU Dongyang, ZHAO Yingkai. Fault severity assessment for rolling element bearings based on EMD and Lempel-Ziv index [J]. Journal of Vibration and Shock, 2010, 29(3): 5-8.

张超, 陈建军. 基于LMD和Lempel-Ziv指标的滚动轴承故障损伤程度研究 [J]. 振动与冲击, 2012, 31(16): 77-78.

ZHANG Chao, CHEN Jianjun. Fault severity assessment for rolling element bearings based on LMD and Lempel-Ziv index [J]. Journal of Vibration and Shock, 2012, 31(16): 77-78.

姜宏, 章翔峰, 张小栋. 双矢时域齿轮早期微弱故障特征增强及应用 [J]. 振动、测试与诊断, 2018, 38(6): 1161-1168.

JIANG Hong, ZHANG Xiangfeng, ZHANG Xiaodong. Gear early weak fault feature enhancement in dual vector time-time domain [J]. Journal of Vibration, Measurement Diagnosis, 2018, 38(6): 1161-1168.

YANG Yu, CHENG Junsheng, ZHANG Kang. An ensemble local means decomposition method. and its application to local rub-impact fault diagnosis of the rotor systems [J]. Measurement, 2012, 45(3): 561-570.

DRAGOMIRETSKIY K, ZOSSO D. Variational mode decomposition [M]. IEEE Transactions on Signal Processing, 2014, 62(3): 531-544.

乔自珍, 周建星, 章翔峰. 多源时变激励下两级直齿轮传动系统有限元建模方法研究 [J]. 振动与冲击, 2019, 38(15): 182-189.

QIAO Zizhen, ZHOU Jianxing, ZHANG Xiangfeng. Finite element modelling method for a two-stage spur gear transmission system under multi-source time-varying excitations [J]. Journal of Vibration and Shock, 2019, 38(15): 182-189.

刘长良, 武英杰, 甄成刚. 基于变分模态分解和模糊C均值聚类的滚动轴承故障诊断 [J]. 中国电机工程学报, 2015, 35(13): 3358-3365.

LIU Changliang, WU Yingjie, ZHEN Chenggang. Rolling bearing fault diagnosis based on variable mode decomposition and fuzzy C means clustering [J]. Proceedings of the CSEE, 2015, 35(13): 3358-3365.

付文龙, 谭佳文, 王凯. 基于VMD散布熵与改进灰狼优化SVDD的轴承半监督故障诊断研究 [J]. 振动与冲击, 2019, 38(22): 190-197.

FU Wenlong, TAN Jiawen, WANG Kai. Semi-supervised fault diagnosis of bearings based on the VMD dispersion entropy and improved SVDD with modified grey wolf optimizer [J]. Journal of Vibration and Shock, 2019, 38(22): 190-197.

史后威,李彦,王增丽,等.圆盘密封螺旋泵泄漏通道的几何特性研究.2021,55(1):145-152.[doi:10.7652/xjtuxb202101 018]

李旺,赵宁,蔺彦虎,等.同轴面齿轮分扭传动的动态均载特性.2020,54(9):109-116.[doi:10.7652/xjtuxb202009012]

姚斌,卢杰,蔡志钦,等.螺杆转子成形磨削用砂轮廓形的包络-像素设计方法.2020,54(2):16-23.[doi:10.7652/xjtuxb 202002003]

张宁,张英杰,李阳帆.考虑齿轮形变的谐波减速器齿廓优化方法.2019,53(12):31-37.[doi:10.7652/xjtuxb201912005]

姜歌东,王爽,梅雪松,等.谐波齿轮传动双圆弧齿形双向共轭设计方法.2019,53(8):8-14.[doi:10.7652/xjtuxb201908 002]

张宁,张英杰,李阳帆.考虑齿轮形变的谐波减速器齿廓优化方法.2019,53(12):31-37.[doi:10.7652/xjtuxb201912005]

史尧臣,陈国平,李占国,等.三轮一带传动系统噪声仿真与试验验证.2019,53(8):76-81.[doi:10.7652/xjtuxb201908 010]

王凯,付敏,王珏翎.滚子包络端面啮合蜗杆传动的啮合性能分析.2019,53(3):135-142.[doi:10.7652/xjtuxb201903 019]

邹创,陶涛,姜歌东,等.考虑力学特性的谐波齿轮啮合参数优化方法.2019,53(2):16-23.[doi:10.7652/xjtuxb201902 003]

陈晓霞,杨朋朋,邢静忠,等.谐波齿轮负载侧隙和啮合力分布规律研究.2018,52(7):9-17.[doi:10.7652/xjtuxb201807 002]

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A Fault Location Method for Hybrid Three-Terminal High Voltage Direct Current Transmission Lines

A DC Distribution Network Protection Method Based on Improved VMD and Abrupt Energy

Parameter Optimized Variational Mode Decomposition Method with Application to Incipient Fault Diagnosis of Rolling Bearing

Hybrid Energy Storage Power Distribution Strategy for Micro Gas Turbine Power Generation System Based on Variational Mode Decomposition

Gesture Recognition of Surface Electromyography Based on Variational Mode Decomposition and Domain Adaptation

Related Author

SONG Guobing

ZHOU Jinyu

WU Xinyu

YANG Lili

GAO Shuping

高淑萍

李元泽

沈渠旺

Related Institution

College of Electrical and Control Engineering, Xi'an University of Science and Technology

Xi'an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security

School of Electrical Engineering, Xi'an Jiaotong University

School of Electrical and Control, Xi'an University of Science and Technology

School of Energy, Power and Mechanical Engineering, North China Electric Power University

⁰