基于时变啮合刚度的裂纹故障齿轮振动特征分析

doi:10.3901/JME.2020.17.108

机械工程学报 ›› 2020, Vol. 56 ›› Issue (17): 108-115.doi: 10.3901/JME.2020.17.108

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基于时变啮合刚度的裂纹故障齿轮振动特征分析

孟宗, 石桂霞, 王福林, 詹旭阳, 樊凤杰

燕山大学河北省测试计量技术及仪器重点实验室秦皇岛 066004

收稿日期:2019-09-30 修回日期:2020-03-27 出版日期:2020-09-05 发布日期:2020-10-19
通讯作者: 孟宗(通信作者),男,1977年出生,博士,教授,博士研究生导师。主要研究方向为信号分析与处理,旋转机械故障诊断。E-mail:mzysu@ysu.edu.cn
作者简介:孟宗,男,1977年出生,博士,教授,博士研究生导师。主要研究方向为信号分析与处理,旋转机械故障诊断。E-mail:mzysu@ysu.edu.cn;石桂霞,女,1995年出生,硕士研究生。主要研究方向为齿轮动力学故障诊断。E-mail:260074574@qq.com;王福林,男,1995年出生,硕士研究生。主要研究方向为旋转机械动力学故障诊断。E-mail:911687797@qq.com;詹旭阳,男,1993年出生,硕士研究生。主要研究方向为深度学习与故障诊断。E-mail:cyr0510@163.com;樊凤杰,女,1977年出生,博士,副教授。主要研究方向为信号分析与处理。E-mail:ffj@ysu.edu.cn
基金资助:
国家自然科学基金（51575472）和河北省自然科学基金（E2019203448）资助项目。

Vibration Characteristic Analysis of Cracked Gear Based on Time-varying Meshing Stiffness

MENG Zong, SHI Guixia, WANG Fulin, ZHAN Xuyang, FAN Fengjie

Key Laboratory of Measurement Technology and Instrumentation of Hebei Province, Yanshan University, Qinhuangdao 066004

Received:2019-09-30 Revised:2020-03-27 Online:2020-09-05 Published:2020-10-19

摘要/Abstract

摘要： 齿轮系统在复杂的工况条件下，容易产生裂纹故障，对正常运转造成困难。时变啮合刚度作为齿轮传动系统重要内部激励之一，刚度的变化能够良好地反映齿轮的动力学响应，因此使用精确的刚度算法能够有效地进行齿轮系统动力学特征分析。考虑齿轮过渡曲线函数，通过分析完整的齿廓曲线，采用势能法计算齿轮时变啮合刚度，研究10种不同裂纹长度的刚度变化。考虑时变啮合刚度和齿间滑动摩擦，建立6自由度齿轮系统动力学模型，利用Runge-Kutta法仿真求解齿轮不同裂纹长度时的动力学响应。通过分析位移响应发现齿轮存在裂纹时会产生冲击特征，随着裂纹长度增加，冲击特征越来越明显。最后比较分析了多种统计指标随裂纹扩展程度的变化趋势，结果表明峭度指标对故障特征最为敏感。

关键词: 时变啮合刚度, 轮齿裂纹, 齿轮动力学模型, 振动特征分析

Abstract: Under complex working conditions, the gear system is prone to crack failure, which makes it difficult for normal operation. Time-varying meshing stiffness is one of the important internal incentives of gear transmission system. The change of stiffness can well reflect the dynamic response of gear. Therefore, using an accurate stiffness algorithm can effectively analyze the dynamic characteristics of gear system. Considering the function of gear transition curve, the potential energy method is use d to calculate the time-varying meshing stiffness of gear by analyzing the complete profile curve, and the stiffness changes of 10 different crack lengths are studied. Considering the time-varying mesh stiffness and sliding friction between teeth, a dynamic gear model with six degrees of freedom is established. The dynamic response of gear with different crack lengths is simulated by Runge-Kutta method. By analyzing the displacement response, it is found that the impact characteristics will occur when there is a crack in the gear. With the increase of the crack length, the impact characteristics become more and more obvious. Finally, the trends of various statistical indicators with respect to the level of crack extension are compared and analyzed. The results show that the kurtosis indicator is the most sensitive to fault characteristics.

Key words: time-varying mesh stiffness, tooth crack, gear dynamic model, vibration characteristic analysis

中图分类号:

TH13

孟宗, 石桂霞, 王福林, 詹旭阳, 樊凤杰. 基于时变啮合刚度的裂纹故障齿轮振动特征分析[J]. 机械工程学报, 2020, 56(17): 108-115.

MENG Zong, SHI Guixia, WANG Fulin, ZHAN Xuyang, FAN Fengjie. Vibration Characteristic Analysis of Cracked Gear Based on Time-varying Meshing Stiffness[J]. Journal of Mechanical Engineering, 2020, 56(17): 108-115.

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基于时变啮合刚度的裂纹故障齿轮振动特征分析

Vibration Characteristic Analysis of Cracked Gear Based on Time-varying Meshing Stiffness

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