Synthesis of the steepest rotation pitch curve design for noncircular gear

Zhang, Xin; Fan, Shouwen

doi:10.1016/j.mechmachtheory.2016.03.020

Cited by 6 publications

(4 citation statements)

References 15 publications

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“…When solving the requirements for the accuracy of the calculation of technical problems using the finite element method, the basic problem of solving the deformation analysis of the gearing of the examined gear lies in the choice of the solved area of the gear wheel [10,27]. It is not expedient to calculate the gears as a whole by the finite element method, but only as a part of the gear [19,22].…”

Section: Teeth Deformation Of Designed Non-circular Gear Setmentioning

confidence: 99%

Teeth deformation of non-circular gears

Maláková¹

2021

SJSUT.ST

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In practice, gear units whose transmission number is not constant during one revolution are used. Such gears include the proposed elliptical transmission. Its application can be (missing a word?) and the automotive industry. The gears set consists of a pair of identical elliptical gears. The transmission ratio of the designed elliptical gear is not constant. The basic kinematic characteristics of this transmission are described in this work. The deformation in contact point of non - circular gears is determined by the finite element method in this paper. The results are compared with the deformation of the teeth of the spur gears.

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Section: Teeth Deformation Of Designed Non-circular Gear Setmentioning

confidence: 99%

Teeth deformation of non-circular gears

Maláková¹

2021

SJSUT.ST

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“…According to the meshing principle of the noncircular gears, the polar equations of pitch curves conjugated with the minimal rotary inertia pitch curve r ( η ), which contain external and internal meshing can be respectively expressed as 11 where r e ( η e ), r i ( η i ) and a e , a i are respectively the pitch curves and center distances of external and internal meshing noncircular gears conjugated with the minimal rotary inertia pitch curve r ( η ), the “ + ” of symbol “ ± ” in equation (27) refers to the r ( η ) and r i ( η i ) that are respectively inner gear pitch curve and outer gear pitch curve for internal meshing noncircular gears, while the “−” of symbol “ ± ” in equation (27) refers to the r ( η ) and r i ( η i ) that are respectively outer gear pitch curve and inner gear pitch curve for the internal meshing noncircular gears.…”

Section: Noncircular Gears With Minimal Rotary Inertia Pitch Curvesmentioning

confidence: 99%

“…10 developed an approach for the generation of pitch curves on the basis of Bézier and B-spline nonparametric curves. Zhang and Fan 11,12 presented detailed research on the steepest rotation pitch curves of the noncircular gears, and the research can be applied to modify discontinuity points on the pitch curve. Figliolini et al.…”

Section: Introductionmentioning

confidence: 99%

Study on the pitch curve with minimal rotary inertia for the noncircular gears

Zhang

Fan

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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Aimed at the high load and slow response of the noncircular gears design, a general mathematical model for designing the pitch curve with minimal rotary inertia of the noncircular gear is proposed by resorting to kinematics principle and calculus of variations. To achieve the closure design, the constraint conditions and smoothness characteristics of N-lobed noncircular gear pitch curve with minimal rotary inertia are established and calculated analytically. In addition, the unified design method of the conjugate pitch curves with minimal rotary inertia for the noncircular gears is given in this paper. Unclosed and closed N-lobed conjugate pitch curves that satisfy the desired transmission requirements can be easily solved by using the proposed method, and each lobe has identical profile to ensure the periodical motion of the pitch curves. Numerical examples are implemented in computer and demonstrate the feasibility of the above method.

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“…As mechanisms used to generate variable motion laws, in comparison with cams, linkages, variable transmission belts, Geneva mechanisms and even electrical servomotors, non-circular gears are remarkable due to their advantages, such as the ability to produce variable speed movements in a simple, compact and reliable way, the lack of gross separation or decoupling between elements, fewer parts in the design phase, and the ability to produce high strength-toweight ratios [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Designing Pitch Curves of Non-Circular Gears

Medvecká-Beňová¹

2018

SJSUT.ST

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The paper examines the design and generation of gear drives with non-circular gears. Gearings with a changing transmission gear ratio are used for the purposes of practical experimentation, even though "standard" gearings with a constant transmission gear ratio are used more often. In this paper, the author presents the design for the shape of a pitch outline for a specific requirement, that is, continuous change in gear ratio during one rotation. The gearing is designed such that the pitch curve is composed of an ellipse. The article also presents some kinematic properties of the designed non-circular gearing.

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Synthesis of the steepest rotation pitch curve design for noncircular gear

Cited by 6 publications

References 15 publications

Teeth deformation of non-circular gears

Teeth deformation of non-circular gears

Study on the pitch curve with minimal rotary inertia for the noncircular gears

Designing Pitch Curves of Non-Circular Gears

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