Geometric design and analysis of face-gear drive with involute helical pinion

Feng, Guangshuo; Xie, Zhifeng; Zhou, Ming

doi:10.1016/j.mechmachtheory.2018.12.020

Cited by 33 publications

(19 citation statements)

References 26 publications

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“…r bs and r s are the base circle radius and the reference circle radius of the shaper cutter, respectively; n s denotes the unit normal vector of the shaper cutter tooth profile; ϕ 0s denotes the angle between the line from the midpoint of the alveolar to point O s and the line between the starting point of the involute and point O s ; ϕ ks is the central angle between the starting point of the involute and the tangent point between the normal vector and the basic circle at any point of the involute; δ s and δ 2 are the rotation angles of the shaper cutter and the face gear, respectively; and O 20 (O 2 , O s , O s0 ) is the intersection point of the axis of the shaper cutter and the face gear. ( , , ) According to Litvin's and Guingand's [33][34][35] investigations, the tooth surface equation and unit normal vector of the shaper cutter are calculated through Equations (1) and 2, respectively:…”

Section: Tooth Surface Equationmentioning

confidence: 99%

“…All rotating machinery will stir up the surrounding air, resulting in windage power loss, restricting fuel economy and reducing transmission efficiency, especially for aeronautical transmission systems. The face gear drive is a new kind of meshing transmission between a cylindrical gear and a bevel gear, which has been successfully applied in the main reducer of armed helicopters owing to its numerous advantages [1][2][3][4]. Although the efficiency of a well-designed gearbox can reach 99%, the power loss cannot be neglected in high-power applications.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation Investigation on the Windage Power Loss of a High-Speed Face Gear Drive

Dai

Zhu

et al. 2019

Energies

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Reducing the energy consumption and improving the efficiency of high-speed transmission systems are increasingly common goals; the windage power loss is not negligible in these methods. In this work, the multi-reference frame (MRF) and periodic boundary conditions (PBC) based on the computational fluid dynamics (CFD) method were adopted to investigate the windage phenomena of a single face gear with and without a shroud, and the impact of the gear speed on the windage power loss was analyzed. Furthermore, the effects on the distribution of static pressure due to the distances between the shroud and the gear body in different directions, including the outer radius direction, the inner radius direction, and the addendum direction were investigated. The results indicate that the gear speed significantly affected the windage loss, as the higher the gear speed was, the greater the windage power loss. Additionally, the shroud could effectively reduce the windage power loss, where the optimal distance from the addendum to the shroud was not the minimum distance; however, for the distances from the shroud to the inner radius and the outer radius, the smaller the distance was, the smaller the windage loss. The results can provide a theoretical basis and technical reference for reducing the windage power loss of various face gear drives.

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Section: Tooth Surface Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Simulation Investigation on the Windage Power Loss of a High-Speed Face Gear Drive

Dai

Zhu

et al. 2019

Energies

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“…The novel gear pair with VRTP still follows conjugate meshing characteristics, so the design [11] , modeling [12,13] , analysis [14,15] and manufacturing [16,17] methods for traditional gears are also applicable. Meshing theory has played a momentous role in gear geometry.…”

Section: Introduction mentioning

confidence: 99%

Geometrical design of variable ratio tooth profile based on Boolean subtraction operation and a novel modification method

Niu

Xin

et al. 2020

International Journal of Agricultural and Biological Engineering

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Variable transmission ratio racks show great potential in rice transplanters as a key component of variable transmission ratio steering to balance steering portability and sensitivity. The objective of this study was to develop a novel geometrical design method to achieve quick, high-quality modeling of the free curvilinear tooth profile of a variable transmission ratio rack. First, a discrete envelope motion 3D model was established between the pinion-sector and the variable transmission ratio rack blank based on the mapping relationship between the rotation angle of the pinion-sector and the displacement of the rack, according to the variable transmission ratio function. Based on the loop Boolean subtraction operation, which removed the pinion-sector from the rack blank during all moments of the discrete motion process, the final complex changing tooth shape of the variable transmission ratio rack was enveloped. Then, since Boolean cutting residues made the variable ratio tooth surface fluctuant and eventually affected the precision of the model, this study proposed a modification method for establishing a smooth and continuous tooth profile. First, a novel fitting algorithm used approximate variable ratio tooth profile points extracted from the Boolean cutting marks and generated a series of variable ratio tooth profiles by utilizing B-spline with different orders. Next, based on a transmission stability simulation, the variable ratio tooth profile with optimal dynamic performance was selected as the final design. Finally, tests contrasting the transmission stability of the machining samples of the initial variable ratio tooth profile and the final variable ratio tooth profile were conducted. The results indicated that the final variable ratio tooth profile is more effective than the initial variable ratio tooth profile. Therefore, the proposed variable ratio tooth profile modeling and modification method for eliminating Boolean cutting residues and improving surface accuracy is proved to be feasible.

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“…Wang et al [29] optimized the profile modification of the end face of gear teeth by deducing the tooth surface equation of the rack cutter. From the angle of gear processing, Feng et al [30] took the whole tooth surface of the gear as the envelope of the imaginary gear shaping cutter tooth surface family and then determined the maximum radius of the face gear.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model for Parametric Tooth Profile of Spur Gears

Zhai

Liang

2020

Mathematical Problems in Engineering

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Spur gears are widely used transmission components. In the traditional design process, the noninvolute part of the tooth profile curve is difficult to describe with mathematical equations. is article puts forward a new parametric modeling method, which can describe the modified involute part of spur gears and parameterize and optimize the transition part of the involute curve of the spur gear. And this model of the spur gear can be created by parameters which is input in Scilab software and the spur gear graphic can be completed correspondingly. e experiments show that this modeling method can more quickly produce the standard spur or modified spur gear, and it also improves the efficiency and accuracy of spur gear modeling.

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Geometric design and analysis of face-gear drive with involute helical pinion

Cited by 33 publications

References 26 publications

Numerical Simulation Investigation on the Windage Power Loss of a High-Speed Face Gear Drive

Numerical Simulation Investigation on the Windage Power Loss of a High-Speed Face Gear Drive

Geometrical design of variable ratio tooth profile based on Boolean subtraction operation and a novel modification method

A Mathematical Model for Parametric Tooth Profile of Spur Gears

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