An active tooth surface design methodology for face-hobbed hypoid gears based on measuring coordinates

Abstract

：An active tooth surface design methodology is proposed for face-hobbed hypoid gears based on fitting the measuring coordinates of real tooth surface that includes the flank deviations caused by machine errors and the deformation of heat treatment. Firstly, non-uniform rational B-spline(NURBS) is used as a tool to fit the discrete measuring coordinates of gear and pinion, then real tooth surface equations are obtained. Secondly, the pinion auxiliary tooth surface that is in line contact with the gear real tooth surface and has a parabolic transmission error(TE) is obtained by using the gear as a virtual cutter to generate the pinion under a predesigned motion function, then the pinion target tooth surface is obtained by modifying the pinion auxiliary tooth surface along the contact line with a predesigned contact pattern(CP).Thirdly, an optimization model is proposed to solve the adjustments of pinion machining parameters, this model is solved by using sequence quadratic program(SQP). The feasibility of this methodology is demonstrated by using a numerical example of a Klingelnberg-Oerlikon's Spirac hypoid gear set, the results  Corresponding author. 2 are in line with the preconditions. This proposed methodology provides a new approach for meshing performances control of face-hobbed hypoid gears in the phase of trial-manufacture.

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

“…Many works have been done on the measurement error and its compensation method of the tooth surface of spiral bevel gear, such as coordinate measurement method [8][9][10][11][12] and tooth contact analysis method. [13][14][15][16][17] Fuentes-Aznar and Guo proposed a numericalanalytical approach for the alignment errors of facegears, and compensated the errors by adjusting the position of the shaper cutter to replicate the relative position of the pinion in misaligned condition.…”

Study of geometric characteristics of the arc teeth semi-rolled cylindrical gear meshing

“…When cutting teeth on Gleason machines, they use a circular cutting head implementing the Face Milling Method [7][8][9], or a multi-thread cutting head implementing the Face Hobbing Method [8,10]. Klingelnberg and Oerlikon gear cutting machines implement methods for cutting cyclo-palloid bevel wheels [11][12][13][14][15].…”

Conjugated action and methods for crowning in face-hobbed spiral bevel and hypoid gear drives through the spirac system

“…Later, in [12] a conversion of machine-tool settings between a cradle-style hypoid generator and a six-axis control numerical machine is implemented, considering the Spirac system as a numerical example. Finally, an interesting approach to design the tooth surface topography considering the Spirac system is represented in [13].…”