Analysis on the kinematical characteristics of compound motion curve-face gear pair

Lin, Chao; He, Chu; Hu, Yanan

doi:10.1016/j.mechmachtheory.2018.06.004

Cited by 19 publications

(14 citation statements)

References 14 publications

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“…43 A common method is through changing the radius of the cutter, namely, the pinion, which is widely used for contact localization of the face and worm gears. 36 Here, however, as the velocity of the rack remains the same for all the points, the method is not applicable. To solve the problem, the machining and forging processes for the rack product are fully analyzed, proving theoretically the feasibility of a tooth modification method of correcting the tooth surface of the generator.…”

Section: Tooth Modifications For Variable Speed Pinion–rack Drivingmentioning

confidence: 99%

“…With technologies of tooth modification and contact analysis, the contact pattern for gear pair can be controlled, as illustrated by avoidance of the edge contact for reducing contact stress and localization of the line contact for adapting errors and misalignment. 27,28 Generally, there are two methods for tooth modification: one is through the change of machine tool setting and cutter geometry, widely used in the machining process, such as facemilling, 29,30 grinding, 31,32 shaping, 33,34 and skiving; 35 the other is through modifying the surface of generator, applied usually for nongenerating gear processing, including six-axis milling 36,37 and forging. 27,38 As for variable pinion-gear drive, the pinion is generated by hobbing and the rack by forging or broaching.…”

Section: Introductionmentioning

confidence: 99%

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Geometric characteristics and tooth modification for variable speed pinion–rack drive

Zheng

Han

Min

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Variable speed steering system has been used by cars of various brands, including BMW and Toyota, with the purpose of improving the stationarity and controllability of the vehicle. Until now, relevant investigations are focused on the theory and traditional application, while the geometric characteristics and tooth modification for the rack are left untouched upon, hindering the prospect of a wider application. Focusing on this, the paper synthesizes the mathematical model, geometry characteristics, and tooth modification method for the variable pinion–rack drive. The major contributions lie in the contact analysis and the modification methodology for the pinion–rack drive, which combined forms a solid foundation for the application that has never been discussed.

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Section: Tooth Modifications For Variable Speed Pinion–rack Drivingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geometric characteristics and tooth modification for variable speed pinion–rack drive

Zheng

Han

Min

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…About noncircular gears, Lin et al [9][10][11][12] studied the contact characteristics, kinematic characteristics, and load characteristics of noncircular gears, which laid a solid foundation for the popularization of noncircular gears. Han [13][14][15] studied the design method of noncircular gear tooth profile and established a multiaxis linkage model of CNC hobbing to realize digital manufacturing of noncircular gears.…”

Section: Introductionmentioning

confidence: 99%

Design of a Noncircular Planetary Gear Mechanism for Hydraulic Motor

Liu

Gong

et al. 2021

Mathematical Problems in Engineering

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Given the design difficulty and poor accuracy of tooth profile of noncircular gear used in noncircular gear hydraulic motor, it is proposed to reduce the design difficulty and improve the design accuracy by using arc-shaped pitch curve instead of noncircular pitch curve with continuously varying curvature. Based on the geometric relationship and transmission relationship of the noncircular planetary gear mechanism, a nonlinear programming model is constructed for the circular arc-shaped pitch curve. By solving the nonlinear programming model, a noncircular planetary gear mechanism with a modulus of m = 1.5 is designed. The noncircular gear mechanism with the arc-shaped pitch curve was machined and installed in a hydraulic motor, and an efficiency comparison experiment was conducted with a high-order elliptical noncircular gear mechanism with a continuously varying curvature. The experiment shows that the efficiency of the two noncircular gear mechanisms is basically the same, and the best speed range is 100–400 rpm. The noncircular planetary gear mechanism with an arc-shaped pitch curve designed in this paper has reasonable structure, correct transmission relationship, and simple design method, which shows that the design method proposed in this paper has a good engineering application value.

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“…By replacing the pinion by a planar noncircular gear in a face gear mechanism, Lin et al proposed a new gear mechanism comprised of a planar noncircular gear and a conjugated face gear called curve face gear. They carried out a series of fruitful studies on the meshing theory of the new gears, including the transmission mode [21] , geometric model [22] , compound motion [23] , contact features [24] and so on. For the curve face gear mechanism, the axial installation error of the planar noncircular gear has no effect on the transmission accuracy.…”

Section: Introduction mentioning

confidence: 99%

Mathematical model and geometrical design method of noncircular face gear with intersecting axes

Liu

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In order to establish the design method of a noncircular face gear (NFG) with intersecting axes, the meshing theory of this gear is investigated based on the principle of space gear meshing. A generalized approach for designing closed pitch curve of the NFG with intersecting axes was proposed based on Fourier series. The mathematical model of the NFG generated by a shaper cutter was established. The fundamental design parameters of the gears were defined, with the principle for determining their values discussed. The prototype of a NFG was machined by 5-axis CNC milling and the motion rule was tested. Experimental results verify the feasibility of the innovative transmission mechanism and the correctness of the mathematical model of NFG with intersecting axes.

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Analysis on the kinematical characteristics of compound motion curve-face gear pair

Cited by 19 publications

References 14 publications

Geometric characteristics and tooth modification for variable speed pinion–rack drive

Geometric characteristics and tooth modification for variable speed pinion–rack drive

Design of a Noncircular Planetary Gear Mechanism for Hydraulic Motor

Mathematical model and geometrical design method of noncircular face gear with intersecting axes

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