计入传动轴柔性的齿轮故障系统建模及VMD-Lempel-Ziv损伤评估

申勇; 章翔峰; 姜宏; 周建星; 王成龙; 乔帅; 马铜伟

doi:10.7652/xjtuxb202103015

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计入传动轴柔性的齿轮故障系统建模及VMD-Lempel-Ziv损伤评估

更新时间：2025-07-09

- 计入传动轴柔性的齿轮故障系统建模及VMD-Lempel-Ziv损伤评估
- Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility
- 西安交通大学学报 2021年55卷第3期页码：126-135
- 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：
  
  : 2020-08-13。作者简介: 申勇(1995—),男,硕士生;章翔峰(通信作者),男,副教授。基金项目: 国家自然科学基金资助项目(51865054,51765061);新疆维吾尔自治区研究生科研创新资助项目(XJ2020G053)
- DOI：10.7652/xjtuxb202103015
  中图分类号： TH17;TH132.4
- 网络首发：2021-03-10，
  
  纸质出版：2021
- 稿件说明：
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申勇, 章翔峰, 姜宏, 等. 计入传动轴柔性的齿轮故障系统建模及VMD-Lempel-Ziv损伤评估[J]. 西安交通大学学报, 2021,55(3):126-135.

Gear Fault System Modeling and VMD-Lempel-Ziv Damage Assessment Considering Transmission Shaft Flexibility[J]. 2021, 55(3): 126-135.
申勇, 章翔峰, 姜宏, 等. 计入传动轴柔性的齿轮故障系统建模及VMD-Lempel-Ziv损伤评估[J]. 西安交通大学学报, 2021,55(3):126-135. DOI： 10.7652/xjtuxb202103015.

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.

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references

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