Function-oriented active tooth surface design of spiral bevel gears

Cao, Xuemei

doi:10.3901/jme.2007.08.155

Cited by 20 publications

(11 citation statements)

References 2 publications

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“…TE has a significant impact on vibration and noise. A volume of researches [1][2][3][4][5][6] showed that parabolic function of TE can absorb the linear errors caused by installation errors while keep the shape of TE curve. Thus a second-order parabolic function of TE is predesigned in this work.…”

Section: Predesigned Tementioning

confidence: 99%

“…Litvin et al [1][2][3] proposed a local synthesis technique and TCA approach for a predesigned TE curve and contact path orientation that produced lower gear running noise and assembly sensitivity, however, the meshing performances of the region away from the reference point are difficult to control. Fang et al [4,5] proposed a new approach based on a predesigned parabolic function of TE and a predesigned linear function of contact path, that the meshing performances in whole tooth contact could be controlled directly in design. A predesigned second-order parabolic function of TE has been successfully applied by Gonzalez-Perez [6] to improving the meshing performances of involute helical gears.…”

Section: Introductionmentioning

confidence: 99%

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

Fang

2016

Mechanism and Machine Theory

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：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.

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Section: Predesigned Tementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Fang

2016

Mechanism and Machine Theory

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“…In Ref. [20] published by Cao et al, third order function for the modified roll was applied in order to achieve a predesigned parabolic function of transmission errors and to improve the contact pattern with the desired shape of contact path in spiral bevel gears. Liu and Wang [21] presented a method for realizing and improving the conventional gear cutting, associated with a traditional machine-tool upon a CNC free-form gear cutting machine.…”

Section: Imece2008-66017mentioning

confidence: 99%

Design and Manufacture of Spiral Bevel Gears With Reduced Transmission Errors

Simon

2008

Volume 15: Processing and Engineering Applications of Novel Materials

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A method for the determination of the optimal polynomial functions for the conduction of machine-tool setting variations in pinion teeth finishing in order to reduce the transmission errors in spiral bevel gears is presented. Polynomial functions of order up to five are applied to conduct the variation of the cradle radial setting and of the cutting ratio in the process for pinion teeth generation. Two cases were investigated: in the first case the coefficients of the polynomial functions are constant throughout the whole generation process of one pinion tooth-surface, in the second case the coefficients are different for the generation of the pinion tooth-surface on the two sides of the initial contact point. The obtained results have shown that by the use of two different fifth-order polynomial functions for the variation of the cradle radial setting for the generation of the pinion tooth-surface on the two sides of the initial contact point, the maximum transmission error can be reduced by 81%. By the use of the optimal modified roll, this reduction is 61%. The obtained results have also shown that by the optimal variation of the cradle radial setting, the influence of misalignments inherent in the spiral bevel gear pair and of the transmitted torque on the increase of transmission errors can be considerably reduced.

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“…The application of the modified roU and the basic machine root angle variation in spiral bevel pinion finishing was introduced. Cao et al [25] used a third-order function for the modified roll to achieve a predesigned parabolic function of transmission errors and to improve the contact pattern with the desired shape of contact path in spiral bevel gears. Liu et al [26] presented a method for realizing and improving the conventional gear cutting, associated with a traditional machine tool upon a CNC freeform gear cutting machine.…”

Section: Introductionmentioning

confidence: 99%

Manufacture of Optimized Face-Hobbed Spiral Bevel Gears on Computer Numerical Control Hypoid Generator

Simon

2014

Journal of Manufacturing Science and Engineering

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In this study, a method is proposed for the advanced manufacture of face-hobbed spiral bevel gears on CNC hypoid generators with optimized tooth surface geometry. An optimization methodology is applied to systematically define optimal head-cutter geometry and machine tooi settings to introduce optimal tooth modifications. The goal of the optimization is to simultaneously minimize tooth contact pressures and angular dispiacement error of the driven gear (the transmission error). The optimization is based on machine toot setting variation on the cradle-type generator conducted by optimai polynomial functions. An algorithm is developed for the execution of motions on the CNC hypoid generator using the relations on the cradle-type machine. Effectiveness of the method was demonstrated by using a face-hobbed spiral bevei gear exampie. Significant reductions in the maximum tooth contact pressure and in the transmission errors were obtained.

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Function-oriented active tooth surface design of spiral bevel gears

Cited by 20 publications

References 2 publications

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

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

Design and Manufacture of Spiral Bevel Gears With Reduced Transmission Errors

Manufacture of Optimized Face-Hobbed Spiral Bevel Gears on Computer Numerical Control Hypoid Generator

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