基于断齿故障下的斜齿轮副动态性能研究
闫春爱1，刘明勇*,2，邓恩喜2，韩新光2
（1.武昌工学院 智能制造学院，湖北 武汉 430065；2.湖北工业大学 湖北省农机装备智能化工程技术研究中心，湖北 武汉 430068）
摘要：为了探究断齿故障因素对齿轮传动系统的动态特性，通过势能法，考虑赫兹、弯曲、剪切及轴向压缩，结合切片法，研究齿轮时变啮合刚度的影响规律。综合考虑齿轮时变啮合刚度、时变啮合阻尼、静态传递误差及摩擦激励等因素，基于斜齿轮动力学模型，采用Runge-Kutta法求解，研究了故障参数对系统动力学特性的影响。结果表明，含断齿故障的齿轮综合有效啮合刚度有较大幅度的减小，系统中的动态传递误差、振动速度及振动加速度出现周期性冲击现象，频域响应出现了以啮合频率为中心的边频信号，研究结果可有效实现断齿齿轮传动故障的识别。
关键词：断齿故障；啮合刚度；动力学模型；周期性
中图分类号：TH132.41 文献标志码：A doi：10.3969/j.issn.1006-0316.2023.07.009
文章编号：1006-0316 (2023) 07-0058-08
Research on Dynamic Performance of Helical Gear Pair Based on Tooth Breakage
YAN Chun’ai1，LIU Mingyong2，DENG Enxi2，HAN Xinguang2
( 1.College of Intelligent Manufacturing, Wuchang Institute of Technology, Wuhan 430065, China; 2.Hubei Province Agricultural Equipment Intelligent Engineering Technology Center, Hubei University of Technology, Wuhan 430068, China )
Abstract：In order to explore the dynamic characteristics of gear transmission system caused by tooth breakage, considering the factors of Hertz, bending, shearing and axial compression, the time-varying meshing stiffness of the gear is studied through the potential energy method combined with the slicing method. Considering the time-varying meshing stiffness, time-varying meshing damping, static transmission error, friction excitation and other factors, on the basis of the helical gear dynamic model, the Runge-Kutta method is used to study the influence of the fault parameters on the system dynamic characteristics. The results show that the comprehensive and effective meshing stiffness of the gear with tooth breakage is greatly reduced, the periodic shock occurs in the dynamic transmission error, vibration velocity and vibration acceleration in the system, and the side frequency signal centered on the meshing frequency appears in the frequency domain response. The research results can effectively realize the transmission failure identification of the gears with tooth breakage.
Key words：tooth breakage；meshing stiffness；dynamic model；periodicity
———————————————
收稿日期：2022-10-18
基金项目：武昌工学院校级科学研究项目（2022KY03）；现代制造质量工程湖北省重点实验室开放课题（KFJJ-2022013）
作者简介：闫春爱（1985－），女，河北唐山人，硕士，讲师，主要研究方向为齿轮设计，E-mail：664874648@qq.com。*通讯作者：刘明勇（1985－），男，江西九江人，副教授，博士，主要研究方向为机械动力学，E-mail：lmy8508@qq.com。
（1.武昌工学院 智能制造学院，湖北 武汉 430065；2.湖北工业大学 湖北省农机装备智能化工程技术研究中心，湖北 武汉 430068）
摘要：为了探究断齿故障因素对齿轮传动系统的动态特性，通过势能法，考虑赫兹、弯曲、剪切及轴向压缩，结合切片法，研究齿轮时变啮合刚度的影响规律。综合考虑齿轮时变啮合刚度、时变啮合阻尼、静态传递误差及摩擦激励等因素，基于斜齿轮动力学模型，采用Runge-Kutta法求解，研究了故障参数对系统动力学特性的影响。结果表明，含断齿故障的齿轮综合有效啮合刚度有较大幅度的减小，系统中的动态传递误差、振动速度及振动加速度出现周期性冲击现象，频域响应出现了以啮合频率为中心的边频信号，研究结果可有效实现断齿齿轮传动故障的识别。
关键词：断齿故障；啮合刚度；动力学模型；周期性
中图分类号：TH132.41 文献标志码：A doi：10.3969/j.issn.1006-0316.2023.07.009
文章编号：1006-0316 (2023) 07-0058-08
Research on Dynamic Performance of Helical Gear Pair Based on Tooth Breakage
YAN Chun’ai1，LIU Mingyong2，DENG Enxi2，HAN Xinguang2
( 1.College of Intelligent Manufacturing, Wuchang Institute of Technology, Wuhan 430065, China; 2.Hubei Province Agricultural Equipment Intelligent Engineering Technology Center, Hubei University of Technology, Wuhan 430068, China )
Abstract：In order to explore the dynamic characteristics of gear transmission system caused by tooth breakage, considering the factors of Hertz, bending, shearing and axial compression, the time-varying meshing stiffness of the gear is studied through the potential energy method combined with the slicing method. Considering the time-varying meshing stiffness, time-varying meshing damping, static transmission error, friction excitation and other factors, on the basis of the helical gear dynamic model, the Runge-Kutta method is used to study the influence of the fault parameters on the system dynamic characteristics. The results show that the comprehensive and effective meshing stiffness of the gear with tooth breakage is greatly reduced, the periodic shock occurs in the dynamic transmission error, vibration velocity and vibration acceleration in the system, and the side frequency signal centered on the meshing frequency appears in the frequency domain response. The research results can effectively realize the transmission failure identification of the gears with tooth breakage.
Key words：tooth breakage；meshing stiffness；dynamic model；periodicity
———————————————
收稿日期：2022-10-18
基金项目：武昌工学院校级科学研究项目（2022KY03）；现代制造质量工程湖北省重点实验室开放课题（KFJJ-2022013）
作者简介：闫春爱（1985－），女，河北唐山人，硕士，讲师，主要研究方向为齿轮设计，E-mail：664874648@qq.com。*通讯作者：刘明勇（1985－），男，江西九江人，副教授，博士，主要研究方向为机械动力学，E-mail：lmy8508@qq.com。
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