The effect of bounce shaping and sliding mutual friction on the forced oscillation of fine involute gears


Taking into account the active gear center after the elastic bending deformation of the driving gear shaft; the projection on the plane; and (respectively indicating the effective span of the driving gear shaft and the diameter of the gear shaft, respectively), the driving gear shaft must be parallel and perpendicular to the plane Plane bending occurs in the plane. The distance between the center of the gear and the direction of the force applied to the driving wheel parallel to the driven wheel when the driving gear shaft is elastically bent and deformed can be determined by a simplified calculation formula of the elastic mechanics.
After taking into account the elastic bending deformation of the driving gear shaft, the center of the driving gear is in the plane projection; when the gear mechanism is running, the gear will generate forced vibration, considering the sliding friction, bearing clearance, elastic deformation of the journal and bearing contact, and the elasticity of the driving gear shaft. After bending deformation, it can be seen that when the gear mechanism is running, the driving gear rotates through one base section and the center of the driving gear; then moves to the point and finally moves to the point.
Each movement of the drive gear over one revolution, the center of the drive gear, this movement of the plane projection will be repeated periodically. In essence, the center of the driving gear is in a plane parallel to the plane. It is obvious that the center of the driving gear is in the plane, and the movement of the projection on the plane is also a true portrayal of the movement of the driving gear center. Therefore, the driving gear center will generate the gear center when it is running. The same periodic movement is projected on the plane, causing the drive gear to generate forced vibration.

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