The relationship between the meshing stiffness and the helix angle can be well determined.


At present, the commonly used single-stage gear vibration analysis model has two or fourteen degrees of freedom and other models. The two-degree-of-freedom model only considers the meshing stiffness variation of the gear teeth and the influence of the meshing damping on the torsional vibration of the gear system. Vibration model. However, with this model, the influence of the additional dynamic load of the tooth surface and the meshing error on the dynamic load caused by the vibration during the operation of the gear can be calculated more accurately. Since the stiffness of the shaft and the bearing in the gear system is generally much larger than the rigidity of the gear teeth, this The model is still widely used. The multi-degree-of-freedom vibration analysis model of the single-stage gear transmission not only considers the deformation of the gear shaft and the bearing, but also considers the influence of the asymmetric arrangement of the gear, and is a comprehensive analysis model. The model can be simplified into a relatively simple analysis model according to the specific working conditions of the gears. The application time of the double arc gear in the mechanical department is still short, and the use surface is narrow. At present, there is no systematic study of double arcs at home and abroad. Report on the dynamics of gear transmission.
With the wide application of the double arc gear reducer and the continuous improvement of the management level, it is extremely urgent to carry out in-depth research on the vibration characteristics of the double arc gear reducer. Due to the complicated tooth profile of the double-arc gear, there is a non-smooth line in the middle of the tooth profile. Therefore, the single-tooth meshing stiffness of a double-arc gear is calculated by the finite element method and then numerically. The variation law of the meshing stiffness of the double arc gear is obtained. Although a few theoretical analysis and experimental research results have been published, the resulting formula has many limitations and is difficult to apply to engineering practice. When using the finite element method to calculate the single-tooth meshing stiffness of a double-arc gear, the main analytical models used are the curved tooth model and the oblique straight tooth model. The curved tooth model better reflects the tooth profile of the double circular arc gear, and the load is processed according to the elliptical contact surface, so that the relationship between the meshing stiffness and the helix angle can be well obtained.

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