Higher-order parametrized correction based contact performance forecasting model for spiral bevel gears

Due to no standard tooth profile expression for spiral bevel gears showing complex tooth surface flexural behaviors, sophisticated geometric topography design is full of changes for gear designers, as well as contact performance. Focusing on real tooth flank geometric topography and contact performance collaborative optimization, an innovative forecasting model is established by using complex surface higher-order parametrized correction relating to grinding machine settings. Firstly, the contact path (CP), transmission error (TE), and contact width (CW) are taken as optimization control parameterized objectives for the contact performance assessments. At the same time, a parametrized representation of tooth surface geometric topography is proposed by using a surface higher order discretization method. Then, accurate connection between machine settings and geometric shape parameters is established. Thus, the target tooth surface requiring collaborative optimization considering both geometric accuracy and contact performance are obtained. A higher-order parametrized correction system for establishing contact performance forecasting model is established based on the geometry and kinematics of the grinding motion. Finally, a spiral bevel gear set from aero-engine industrial applications is exercised to demonstrate the impact of the forecasting model on tooth flank geometric and contact performances.