Tooth surface meshing of cycloid hypoid gear

There is less research literature on the meshing performance analysis and active design of cycloid hypoid gears in China. The existing literature at home and abroad has important reference value for follow-up research, but there are also some areas that need to be improved:

(1) There are few researches on accurate modeling of tooth surface. The existing literature usually uses the straight blade instead of the arc blade to model the tooth surface, and does not consider the tip arc. The circular arc blade is usually used to modify the direction of the tooth profile; The tool tip arc is used to process the transition surface, and the accurate modeling of the transition surface directly affects the accuracy of the subsequent LTCA and stress process analysis.

(2) The solution of the instantaneous contact ellipse is based on the quadratic approximation of two paired tooth surfaces near the reference point. The principal curvature and relative curvature of the contact surface need to be calculated through complex derivation, and then the long axis of the instantaneous contact ellipse can be calculated. In addition, the instantaneous contact area is generally a slender ellipse, so the second-order approximation surface near the contact can not truly reflect the characteristics of the entire instantaneous contact area.

(3) There are no reports about the edge contact analysis of cycloid hypoid gears and the calculation of time-varying meshing stiffness of gear pairs based on LTCA.

(4) In the existing domestic content, there are few reports on the active design of cycloid hypoid gear tooth surface based on conjugate theory, while the foreign literature generally selectively omits the key links in the description of the design process, so it is necessary to systematically study the whole active design process.

(5) There are no reports about the actual meshing simulation analysis of cycloid hypoid gear and the active design based on the actual tooth surface.

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