Meshing of Cycloid Bevel Gear and hypoid gear

The meshing characteristics of Cycloid Bevel Gear and hypoid gear not only depend on the design parameters and machining accuracy of the gear, but also the adjustment parameters of the machine tool have a great impact on it during machining. It is usually necessary to repeatedly cut, check the roll, correct the proportion, and adjust the meshing condition of the contact area to obtain a satisfactory transmission effect. Through TCA analysis, the key parameters and control conditions that affect the characteristics of the contact area are studied, and the programming calculation and accurate solution are realized to pre control the meshing characteristics of Cycloid Bevel Gear and hypoid gear, so as to obtain the set contact area.

The long axis of the instantaneous contact circle at the reference point of Cycloid Bevel Gear and hypoid gear generally determines the length of the impression, which is an important evaluation index of the bearing capacity, and is determined by the length coefficient CT of the tooth contact area. During the adjustment calculation of gear cutting by spirac method, in order to ensure that the instantaneous contact rounding of the tooth surface and the length coefficient of the contact area meet the design requirements, it is necessary to correct the repeated calculation of the cutter inclination, and the length coefficient of the contact area of the tooth surface cannot be accurately controlled. For this reason, a calculation method of cutter inclination half generation gear cutting adjustment is proposed, which presets the length coefficient of tooth surface contact area and accurately calculates the cutter inclination. According to the mutual position and motion relationship between the cutter head, the shaking table and the workpiece, the mathematical model of gear cutting with the cutter inclination half generation method is established, the theoretical tooth surface equation is derived, and the solution method of instantaneous contact rounding of the tooth surface is given. Then, by presetting the length coefficient of the contact area of the tooth surface, the calculation method of cutting adjustment to solve the final value of the cutter inclination is given. Finally, taking a pair of cycloid hypoid gears as an example, the contact analysis of the tooth surfaces obtained from different predetermined contact area length coefficients is carried out to verify the correctness and effectiveness of this method. This method can accurately and effectively control the length of the contact area and improve the calculation efficiency.

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