Measurements and theoretical analysis of a helical gear meshing impact signal

Meshing impact is an important factor that affects gear vibration and noise. Therefore, it is of great theoretical and practical significance to study the characteristics of offline meshing impact to reduce the vibration caused by meshing impact. Currently, a single-pair gear is the research goal, ignoring complex coupling relationships between systems, and the established numerical solution formula of the meshing impact cannot be verified. By using Hilbert demodulation and instantaneous frequency, this study obtained the meshing impact signal from the dynamic transmission error signal of the experiment and obtained the maximum deformation caused by the meshing impact. The meshing stiffness of a single tooth was obtained by loaded tooth contact analysis and tooth contact analysis, and the meshing impact force was calculated. The dynamic model of the meshing impact considering the contact ratio was established to compare with the obtained force in the experiment. The method of measuring the meshing impact signal from experiments has not been reported in relevant literature. The method has the advantages of being extensive, accurate and convenient, and it is not affected by the complexity of the system. At the same time, this method can be used to determine the gear teeth with meshing impact in the course of operation and provide a basis for real-time shape modification and design. Therefore, it is of great significance.