Unloaded transmission error and instantaneous gear ratio for non-circular gears with misalignments

Dooner, David B.; Mundo, Domenico

doi:10.1016/j.mechmachtheory.2022.104728

Cited by 6 publications

(3 citation statements)

References 24 publications

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“…It can be seen that the driven gear is also a deformed elliptical gear. This kind of gear transmission belongs to a special case of a deformed elliptical gear studied in literature 9 , consistent with the results of this article. Moreover, when N = 2 and m 1 =m 2 = 1, the deformed elliptical gear evolves into an elliptical gear.…”

Section: Discussionsupporting

confidence: 91%

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Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Liu

et al. 2022

Sci Rep

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The family of elliptical gears with closed pitch curves includes elliptical gears and deformed elliptical gears. Elliptical gears are not only the most widely used non-circular gears but also the research hotspot in the field of non-uniform transmission. However, adjusting the shape of its pitch curve is difficult, which seriously restricts its popularization. This article proposes a piecewise deformed elliptical gear with a closed pitch curve, which realizes the unity of all kinds of elliptical gears in the mathematical model, makes the shape of the pitch curve and gear ratio easier to adjust, and expands the connotation and application scope of the family of elliptical gears. Moreover, the design approach of transmission with piecewise deformed elliptical gear was studied, and the inspection method of transmission performance was provided. The internal relationship between piecewise deformed elliptical gears and the family of elliptical gears was then analyzed. Finally, the method of computer-aided design (CAD) system developed was also provided. Additionally, a case was provided to verify the above theories. The designed conjugate pair can realize a correct meshing and adjust the gear ratio more flexibly, laying a theoretical foundation to expand the application field of non-uniform transmission.

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Section: Discussionsupporting

confidence: 91%

“…Unlike elliptical gears, the pitch curve of a deformed elliptical gear is a continuous closed curve that is composed of two ellipses with different orders 9 , and the gear ratio is also a two-segment asymmetric curve. This unique feature provides convenience for mechanical creative design.…”

Section: List Of Symbols Amentioning

confidence: 99%

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Liu

et al. 2022

Sci Rep

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“…Based on the analysis of the structure form and transmission principle of elliptic gear transmission system, Lin et al [17] and [18] carried out relevant research on the contact area of tooth surfaces and analysed the distribution relationship between the contact points and contact area of the tooth surface with the position of the teeth. Dooner and Mundo [19] analysed the no-load transmission error and instantaneous transmission ratio of eccentric NCG and put forward the calculation method for no-load transmission error. On this basis, the variation trend of no-load transmission error and instantaneous transmission ratio of generalized misalignment is predicted.…”

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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Design and tooth geometric trait analysis of helical noncircular gears based on a novel mathematical model

Li,

Gong,

Liu

et al. 2024

J Mech Sci Technol

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Unloaded transmission error and instantaneous gear ratio for non-circular gears with misalignments

Cited by 6 publications

References 24 publications

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Experimental Research on Transmission Characteristics of Elliptic Gear Transmission Systems

Design and tooth geometric trait analysis of helical noncircular gears based on a novel mathematical model

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