External high-order multistage modified elliptical helical gears and design procedure of their gear pairs

Han, Jiang; Liu, Youyu; Li, Dazhu; Xia, Lian

doi:10.1177/0954406215603738

Cited by 8 publications

(11 citation statements)

References 7 publications

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“…In order to ensure the smooth transmission of the HOMSMEHG and to avoid excessive axial force, the helical angle range of a noncircular helical gear is 8°≤β c ≤ 15°. 4 Moreover, in order to ensure the uniform distribution of gear teeth on pitch curve, the helix angle β c must be satisfied with equation (10)…”

Section: Decoupling Basic Parametersmentioning

confidence: 99%

“…Non-circular gears are widely used in agriculture, 1 instrumentation, 2 textile, 3 and other fields because of their good dynamic balance, compact structure, reliable transmission, high precision, high efficiency, and strong-bearing capacity. As an innovative non-circular gear, the high-order and multi-segment modified elliptical helical gear (HOMSMEHG) 4 unifies the elliptical gear family. As a universal non-circular gear, its gear-ratio curve changes for several cycles while the gear pair is meshed for one cycle, and the curve is asymmetric in each cycle, which greatly increases the adjustment flexibility of the gear ratio.…”

Section: Introductionmentioning

confidence: 99%

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Parametric design approach on high-order and multi-segment modified elliptical helical gears based on virtual gear shaping

Liu

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the past, family of elliptic gears with closed pitch curve includes elliptic gears, high-order elliptic gears, modified elliptic gears, and high-order and two-segment modified elliptic gears. On this basis, this article expands their connotation and unifies them into high-order and multi-segment modified elliptical helical gear (HOMSMEHG), and puts forward the expression of pitch curve. In order to obtain a physical model with real tooth flanks, this article proposed a parametric design approach on the HOMSMEHG based on virtual gear shaping, including decoupling basic parameters, parametric design based on the shaping cutter, and design of shaping linkage models, which had laid a theoretical foundation for designing the HOMSMEHG. Moreover, the realization technology of parametric design was also offered, which had solved the key problem of engineering implementation. Finally, two cases of designing internal and external gears are provided based on virtual gear shaping, which shows that the design approach of the HOMSMEHG and the virtual shaping method proposed in this article are feasible. The tooth flanks of the gears obtained has obvious cutting marks, and conforms to the real ones, which can ensure the reliability of the dynamic or kinematic analysis.

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Section: Decoupling Basic Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parametric design approach on high-order and multi-segment modified elliptical helical gears based on virtual gear shaping

Liu

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

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. Xu [16] studied the design method of noncircular gear vice, which can design the noncircular gear pitch curve with its conjugate as well as the tooth profile.…”

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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“…Han et al. 12 put forward a high-order multistage modified noncircular cylindrical gear. Zheng et al.…”

Section: Introductionmentioning

confidence: 99%

Design method of a novel variable speed ratio line gear mechanism

Chen

Xiao

Zhang

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Based on the space curve meshing theory, a novel noncircular line gear mechanism was advanced, namely, this paper presented a design method of the variable speed ratio noncircular line gear with coplanar axes. Firstly, the universal contact curve equations of the constant speed ratio and variable speed ratio line teeth were established. After the constraint equations of the rotating angle of the driving and driven variable speed ratio noncircular line gears were analyzed and established, the relationship between the rotating angle of the driven variable speed ratio noncircular line gear and the parameter t in the VSR area was assumed to be a piecewise fourth-order curve. Then, the contact curve equations of the variable speed ratio noncircular line gears were derived, and the entity models of variable speed ratio noncircular line gears were built. The prototypes of the parallel axis and intersecting axis variable speed ratio noncircular line gears were manufactured by Stereo Lithography Apparatus, and the speed ratios were measured on the kinematic test rig. The kinematic and finite element analysis results demonstrate that the relationship between the rotating angle of the driven variable speed ratio noncircular line gear and the parameter t conforms to the designed function and the noncircular line teeth smoothly achieve the preset VSR transmission. The proposed design method is helpful to design the variable speed ratio noncircular line gears with lower theoretical sliding rate and wider variation range of the speed ratio; consequently, the designed variable speed ratio noncircular line gears have better applicability in specific variable speed ratio applications.

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External high-order multistage modified elliptical helical gears and design procedure of their gear pairs

Cited by 8 publications

References 7 publications

Parametric design approach on high-order and multi-segment modified elliptical helical gears based on virtual gear shaping

Parametric design approach on high-order and multi-segment modified elliptical helical gears based on virtual gear shaping

Design of a Noncircular Planetary Gear Mechanism for Hydraulic Motor

Design method of a novel variable speed ratio line gear mechanism

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