Compensation of errors of alignment caused by shaft deflections in face-gear drives generated by shaper cutters

Abstract A numerical-analytical approach for the determination of relative errors of alignment based on the finite element analysis of face-gears drives and their supporting shafts is proposed. The face-gear member of the gear set is generated based on the errors of alignment to be compensated by adjusting the position of the shaper cutter to replicate the relative position of the pinion in misaligned condition. The results obtained show that the face-gear drive with compensated geometry has better contact conditions and develops lower contact and bending stresses that the respective face-gear drive with no deflections compensated under a nominal transmitted torque. For the purpose of machining convenience, an alternative and simplified method of compensation of errors of alignment is proposed based only on the compensation of an equivalent error of shortest distance between axes. Finally, the application of a longitudinal crowning to the face-gear tooth surfaces by using a shaper with a larger number of teeth than the mating pinion is compared with the above compensation methods in terms of contact patterns and contact and bending stresses obtained.

[1]  Liming Wang,et al.  CNC milling of face gears with a novel geometric analysis , 2019 .

[2]  Claudio Zanzi,et al.  Application of modified geometry of face gear drive , 2005 .

[3]  Faydor L. Litvin,et al.  Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis , 2002 .

[4]  Alfonso Fuentes,et al.  Design, generation and TCA of new type of asymmetric face-gear drive with modified geometry , 2001 .

[5]  Francisco T. Sanchez-Marin,et al.  Determination of the ISO face load factor in spur gear drives by the finite element modeling of gears and shafts , 2013 .

[6]  Alfonso Fuentes,et al.  Compensation of Errors of Alignment Caused by Shaft Deflections in Spiral Bevel Gear Drives , 2016 .

[7]  Faydor L. Litvin,et al.  Face-Gear Drives: Design, Analysis, and Testing for Helicopter Transmission Applications , 1992 .

[8]  Shui-Shong Lu,et al.  Tooth contact analysis of face-gear drives , 2000 .

[9]  Z.-H. Fong,et al.  Novel profile modification methodology for moulded face-gear drives , 2007 .

[10]  Faydor L. Litvin,et al.  Design, generation, and stress analysis of two versions of geometry of face-gear drives , 2002 .

[11]  Faydor L. Litvin,et al.  Application of Face-Gear Drives in Helicopter Transmissions , 1994 .

[12]  Shuting Li.  Finite element analyses for contact strength and bending strength of a pair of spur gears with machining errors, assembly errors and tooth modifications , 2007 .

[13]  Sascha Weikert,et al.  Face-gear drive: Geometry generation and tooth contact analysis , 2019 .

[14]  Victor Roda-Casanova,et al.  Development and Comparison of Shaft-Gear Models for the Computation of Gear Misalignments due to Power Transmission , 2011 .

[15]  Francisco T. Sanchez-Marin,et al.  A new analytical model to predict the transversal deflection under load of stepped shafts , 2018, International Journal of Mechanical Sciences.

[16]  Michèle Guingand,et al.  Quasi-static analysis of a face gear under torque , 2005 .

[17]  Andrey Volkov,et al.  Algorithms for analysis of meshing and contact of spiral bevel gears , 2007 .

[18]  M. Guingand,et al.  Analysis and Optimization of the Loaded Meshing of Face Gears , 2005 .

[19]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[20]  Jose L. Iserte,et al.  A Finite Element Model for Consideration of the Torsional Effect on the Bearing Contact of Gear Drives , 2012 .