Gear system is an essential link an

齿轮系统是机械设备中必不可少的环节和动力传递环节，其运行状态与整个机械设备的正常运行有关。齿轮系故障诊断技术的研究对确保机械设备的正常运行具有重要意义。<br>本文分析了齿轮副的动力学模型，建立了齿轮副的动力学方程，并从理论上分析了刚度的变化。在此基础上，利用MATLAB分析了不同裂纹齿轮齿的刚度变化，为下一步的故障诊断提供了依据。在论文的第二部分，给出了齿轮裂纹故障的时域图和频域图。最后，分析了这三个指标在故障评估中的有效性，得出结论，峰度和有效值在故障诊断的早期检测中具有良好的效果。

齿轮系统是机械设备中重要的环节和输电环节，其运行状态关系到整个机械设备的正常运行。齿轮列车故障诊断技术的研究对保证机械设备的正常运行具有重要意义。<br>分析了齿轮对的动态模型，建立了齿轮对的动态方程，从理论上分析了刚度的变化。在此基础上，MATLAB对不同裂缝齿轮牙齿的刚度变化进行了分析，为下一步的故障诊断提供了依据。在论文的第二部分中，给出了齿轮裂纹故障的时间域图和频率域图。最后，分析了故障评价三项指标的有效性，得出了在故障诊断早期发现中具有良好效果的结论。

Gear system is an essential link and power transmission link in mechanical equipment, and its operation state is related to the normal operation of the whole mechanical equipment. The research on Fault Diagnosis Technology of gear train is of great significance to ensure the normal operation of mechanical equipment.In this paper, the dynamic model of gear pair is analyzed, the dynamic equation of gear pair is established, and the change of stiffness is analyzed theoretically. On this basis, the stiffness changes of gear teeth with different cracks are analyzed by MATLAB, which provides the basis for the next step of fault diagnosis. In the second part of the paper, the time domain diagram and frequency domain diagram of gear crack fault are given. Finally, the effectiveness of the three indicators in fault evaluation is analyzed, and the conclusion is drawn that kurtosis and effective value have good effect in the early detection of fault diagnosis.<br>