New methodology to reduce the transmission error of the spiral bevel gears

Astoul, Julien; Mermoz, Emmanuel; Sartor, Marc; Linares, Jean‐Marc; Bernard, Alain

doi:10.1016/j.cirp.2014.03.124

Cited by 29 publications

(15 citation statements)

References 14 publications

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“…By introducing this modification, the contact area was extended and the maximum contact pressure was reduced. These results support the theory (Astoul, 2014) that there is a correlation between minimizing the maximum contact pressure and reducing the transmission error.…”

Section: Fig 2: Von Mises Stress Distributionsupporting

confidence: 88%

Transmission Error of the Spiral Bevel Gears

Fraňová¹,

Řehák²,

Prokop³

2020

Engineering Mechanics 2020

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This paper deals with the determination of the transmission error in spiral bevel gears and its minimization using tooth profile modification in order to reduce noise and vibration of transmission systems. Gears are the primary source of vibrations transmitted through the shaft and bearings to the gearbox housing and adjacent surfaces that emit noise to the surroundings. To increase the level of comfort and due to the legislative requirements, increasing emphasis is being placed on reducing the noise and vibrations of machine components, including transmission systems. This leads to the need to identify noise sources and evaluate them in terms of expected acoustic performance. The quality of the gear meshing can be evaluated by transmission error that is closely related to the noise and vibrations. To evaluate the quality of gears based on transmission error, experimental approaches are used that are costly and require quality equipment. Therefore, it is efficient to determine expected transmission error already at the design stage using numerical methods. In the presented paper, FEM software ANSYS is used for numerical simulation of the spiral bevel gear mesh and the obtained results were used to study the effect of tooth profile modifications on the transmission error.

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Section: Fig 2: Von Mises Stress Distributionsupporting

confidence: 88%

Transmission Error of the Spiral Bevel Gears

Fraňová¹,

Řehák²,

Prokop³

2020

Engineering Mechanics 2020

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“…As tooth microgeometry heavily affect the transmission error, [20][21][22][23] in this work, the tooth shape has been kept the same in all the considered test cases, in order to investigate only the effect of wheel body configuration.…”

Section: Wheel Optimisationmentioning

confidence: 99%

Optimisation methodology for lightweight gears to be produced by additive manufacturing techniques

Mura

Curá

Pasculli

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this work, a new design procedure to optimise lightweight gears is presented. Lightweight gears find application in all industrial fields where the weight of the structure is a key factor. Thanks to the new additive manufacturing techniques, it is possible to better distribute the wheel material and therefore increase gear performance. The proposed procedure acts on the material distribution in order to enhance wheel dynamic performance and reduce weight. The new design procedure has been applied to a real airplane gear in order to evaluate if the optimisation procedure can be useful to improve wheel performance. Results show improved performance of the optimised wheel respect to the reference wheel. The optimised wheel geometry is supposed to be manufactured by additive manufacturing techniques.

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“…The position vector from the reference point to the crossing point r 4 , the position vector from the reference point to the machine centre a 4 , the unit normal n 4 and the unit vector u 4 of the coast side of the pinion tooth surface at the reference point M 2 can be represented as: As in Eqs. (11) to (14), the parameters and vectors of the gear and pinion tooth surfaces are replaced by the parameters and vectors of the pinion-generating surface and the pinion tooth surface. Thus, the vectors a 3 , e 3 , G 3 and p 3 are obtained in the coordinate system S 1 {i 1 , n 1 ×i 1 , n 1 } from the vectors a p1 , e p , G, p. Relative angular velocity ω p1 , relative velocity v p1 , relative acceleration a p1 of generating gear and pinion can be obtained from the abovementioned vectors.…”

Section: Coordinate System Applied For Pinion Generationmentioning

confidence: 99%

“…Litvin et al developed the principle and the calculation processes for the fivecut process independently in a manner that is different from Gleason's technology described in [12] and [13]. Astoul et al [14] presented a new design method of spiral bevel gears based on an optimization process to reduce their quasi-static transmission error. Cao et al [15] proposed a new method to design pinion machine tool-settings for spiral bevel gears by controlling contact path and transmission errors based on the satisfaction of contact the condition of three given control points on the tooth surface.…”

Section: Introductionmentioning

confidence: 99%

Computerised Design and Simulation of Meshing and Contact of Formate Hypoid Gears Generated with a Duplex Helical Method

Yu¹,

Yan²,

Zeng³

2015

SV-JME

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The duplex helical method has higher machining efficiency for face-milling spiral bevel and hypoid gears. An accurate and practical approach for calculating the basic machine-tool settings of spiral bevel and hypoid gears manufactured with the duplex helical method is proposed in the present work. The gear tooth surface vector functions and curvature parameters based on basic machine, and head-cutter settings are calculated. Two types of curvature parameters for pinion tooth surfaces are obtained by utilizing the conjugation of gear and pinion tooth surfaces, and the conjugation of pinion tooth surfaces and pinion head-cutter surfaces at the reference point. Next, the basic machine settings for generating pinions in accordance with the two types of curvature parameters for pinion tooth surfaces are determined. Finally, a numerical examples using the duplex helical method are performed and validated by comparing with experimental results. New hypoid gear software has been developed using the new approach. Keywords: duplex helical method, spiral bevel and hypoid gears, face milling, basic machine settings, curvature parameter Highlights • A new exact calculation approach for basic machine-tool settings is proposed. • Three reference points are used to determine the optimal machine settings. • Based on the optimal approach tooth bearings and functions of transmission error on the both sides are favorable. • Hypoid gear design software has been developed using the new approach.

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New methodology to reduce the transmission error of the spiral bevel gears

Cited by 29 publications

References 14 publications

Transmission Error of the Spiral Bevel Gears

Transmission Error of the Spiral Bevel Gears

Optimisation methodology for lightweight gears to be produced by additive manufacturing techniques

Computerised Design and Simulation of Meshing and Contact of Formate Hypoid Gears Generated with a Duplex Helical Method

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