Contact pattern expansion regulation model for spiral bevel gear transmission

Abstract

Focusing on digital assessment and optimization for time-varying contact pattern, an innovative contact pattern expansion (CPE) regulation model is established for spiral bevel gear transmission. By building a parametric optimization design bridge between loaded contact pattern and geometric boundary, the proposed method can get an accurate and effective forecasting, control and decision-marking of geometric topography and contact performances. Firstly, in order to reflect the influence of misalignment on CPE, an improved TCA solution method is developed for loaded contact pattern determination. Considering influence of tooth surface geometric boundary, accurate parametric CPE definition and assessment are proposed. Then, CPE regulation model is established by providing tooth flank deflection method. Where, by optimizing the regulation amounts of each assessment items, it can get an accurate and effective CPE regulation. In order to establish the parametric relations between regulation targets and deflection surface, an innovative TCA-oriented prescribed surface expression is developed. Levenberg-Marquardt method is used to solve the established model for the machining setting parameters. Finally, the proposed model is exercised with an example face-milled spiral bevel gear set from an aerospace engine application to demonstrate the impact of the key machine settings on the result CPE regulation.