Meshing principle and transmission analysis of a beveloid non-circular gear

Han, Jiang; Li, Dazhu; Tian, Xiaoqing; Xia, Lian

doi:10.1177/1687814020971909

Cited by 8 publications

(7 citation statements)

References 24 publications

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“…However, the gears are very sensitive to the errors of center distance, cutting depth and helix angle, which limits the application of circular arc gears in some industrial fields. 7,8 More researchers gradually put forward series of new ideas to further improve transmission performance through considering new meshing principle, [9][10][11][12] tooth profile form, [13][14][15][16][17][18] tooth surface modification, [19][20][21][22][23][24] analysis methods, [25][26][27][28][29] and key manufacturing technology. [30][31][32][33] The research conclusions provide important support for the development of gear transmission technology.…”

Section: Introductionmentioning

confidence: 99%

“…More researchers gradually put forward series of new ideas to further improve transmission performance through considering new meshing principle, 9–12 tooth profile form, 13–18 tooth surface modification, 19–24 analysis methods, 25–29 and key manufacturing technology. 30–33 The research conclusions provide important support for the development of gear transmission technology.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

Liang

Zhao

Meng

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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We present a new internal gear transmission based on spatial involute-helix curve in this article. Firstly, the generation principle of spatial involute-helix curve is proposed according to gear geometry theory. Mathematical design model of the spatial conjugate involute-helix curves is provided through establishing the meshing relationship solved by relative velocity and specific normal vector at contact point. The equations of conjugated spatial involute-helix curve and line of action of contact curves are derived, respectively. Secondly, tooth profiles construction with spatial involute-helix curve pair is carried out by isometric offsetting and kinematics methods. General tooth profiles form and numerical example are proposed in terms of given design parameters. Furtherly, meshing analysis of generated tooth profiles are discussed. Center distance separability and axial errors action are discussed according to the theoretical derivation and simulation process. Contact stress analysis and the comparison are studied by finite element method. Finally, the experimental test of the new gear pair manufactured by CNC technology is provided and general transmission efficiency results and contact conditions of tooth profiles under different error conditions are displayed. Research conclusions show that the new internal gear drive has well transmission property and further study on the contact dynamic and error analysis will be carried out.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

Liang

Zhao

Meng

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Vasie and Andrei [15] proposed the generation method of elliptic gear pitch curve and tooth profile and simulated and analysed the meshing path, contact area, and its changes of gear teeth in 2D and 3D environments, respectively. Focusing on NCG transmission systems, Han et al [16] proposed a helical NCG transmission mechanism to decrease the meshing impact and realize the backlash adjustment for stability and accuracy. The meshing backlash is analysed with a physical contact simulation method, and the influence of axial displacement adjustment on the meshing backlash of a gear pair is obtained.…”

Section: Introductionmentioning

confidence: 99%

Experimental Research on Transmission Characteristics of Elliptic Gear Transmission Systems

Dong¹,

Pei²,

Liu³

et al. 2022

sv-jme

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The special variable ratio transmission characteristics and complex tooth profile curve of elliptic gears make it difficult to analyse their transmission characteristics, which restrict the application and development of elliptical gears. Given that, a transmission characteristic analysis method based on transmission testing is proposed in this paper. By building a high-precision elliptic gear test rig, the distribution laws of dynamic lost motion, static lost motion, back clearance, stiffness, friction torque and vibration with speeds and loads are analysed and obtained. The results show that the dynamic lost motion and friction torque will increase with the increase of rotating speed. The dynamic lost motion, static lost motion and back clearance will gradually decrease with the increase of load, and the stiffness will gradually increase. Enlarging the load and reducing the speed can restrain the vibration amplitude, which can ensure the transition of the gear system from a bilateral collision state to a unilateral collision state and thus improve the stability of the system.

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“…1–5 In recent years, plenty of research on non-circular gear had done, especially in elliptical gear; elliptical gear has a mature design theory. The mathematical model of non-circular gear hobbing 6–8 or non-circular gear shaping 9–11 is established, different interpolation algorithms 12,13 are studied, the tooth profile were extracted by the numerical algorithm, 14–16 and research directly uses the analytic method 17,18 to design elliptical gear and high order elliptical gear. 5,19…”

mentioning

confidence: 99%

“…[1][2][3][4][5] In recent years, plenty of research on non-circular gear had done, especially in elliptical gear; elliptical gear has a mature design theory. The mathematical model of non-circular gear hobbing [6][7][8] or non-circular gear shaping [9][10][11] is established, different interpolation algorithms 12,13 are studied, the tooth profile were extracted by the numerical algorithm, [14][15][16] and research directly uses the analytic method 17,18 to design elliptical gear and high order elliptical gear. 5,19 The design methods for denatured elliptical gear are relatively single, Da-wei and Ting-zhi 20 used a numerical calculation method to solve the pitch curve of denatured elliptical gear according to the transmission ratio curve of the driven gear.…”

mentioning

confidence: 99%

Design and extraction of tooth profile of denatured elliptical gear

Song

Zhou

2022

Advances in Mechanical Engineering

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Elliptical gear is a common type of non-circular gear; it’s theory and design methods are mature. But the research on denatured elliptical gear was not enough, the design method of tooth profile was single, low precision, and there may occur tooth overlap at the splice when the denatured elliptical gear is generated by the envelope method. The denatured elliptical gear design in the existing literature did not include tooth profile point extraction, so the denatured elliptical gear design only exists in theory, it can’t obtain the necessary data for processing and production. Given this situation, a design method is proposed to design denatured elliptical gear, and the tooth profile data are extracted. The main steps are as follows: firstly, the arc length of gear was calculated, and the arc length corresponding to the rotation angle is obtained. The piecewise interpolation of the gear with equal arc length was spliced together to get a complete envelope image, then, the image was binary processed. Finally, using the designed program, the tooth profile pixels were extracted by the eight-neighborhood algorithm. This method provides a new way of designing denatured elliptical gear, this method is stable and has a fast operation speed. The tooth profile data can be directly used for 3D modeling or wire cutting machining.

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Meshing principle and transmission analysis of a beveloid non-circular gear

Cited by 8 publications

References 24 publications

Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

Experimental Research on Transmission Characteristics of Elliptic Gear Transmission Systems

Design and extraction of tooth profile of denatured elliptical gear

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