Parametric vibrations and instabilities of an elliptical gear pair

Gao, Nan; Meesap, Chanannipat; Wang, Shiyu; Zhang, Dongsheng

doi:10.1177/1077546320902543

Cited by 16 publications

(10 citation statements)

References 26 publications

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“…Center The reference surface of a non-circular gear is not a rotating surface 1 . The conjugate pair can realize time-varying meshing transmission based on the established law.…”

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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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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“…Center The reference surface of a non-circular gear is not a rotating surface 1 . The conjugate pair can realize time-varying meshing transmission based on the established law.…”

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

View full text Add to dashboard Cite

show abstract

“…Due to the time-varying curvature radius of the pitch curve of elliptic gears, there are certain differences among the teeth. Even if the load torque T L on the driven shaft is constant, the torque fluctuation may occur on the driving side [20]. Therefore, in order to analyse the transmission torque of the elliptic gear pair, the load torque borne by the driven gear can be transformed into the driving gear, as shown in Fig.…”

Section: Torque Of Elliptic Gear Pairmentioning

confidence: 99%

A Method for Calculating Elliptic Gear Transmission Efficiency Based on Transmission Experiment

Dong

Liu

Zhao³

2021

SV-JME

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Transmission efficiency is an important index to evaluate the transmission performance and energy consumption of gear transmission systems. To analyse the transmission efficiency of elliptic gears, the load torque fluctuation model of elliptic gear is established to analyse the influence of load torque of an elliptic gear transmission system on the torque of input and output. The torque data of input and output under different working conditions are obtained by conducting an elliptic gear transmission test. Finally, the transmission efficiency of the elliptic gear pair is obtained through the torque measurement data of the elliptic gear transmission test, and its variation law under different working conditions is analysed. The results show that the transmission efficiency of the elliptic gear transmission system changes constantly and presents an increasing trend with the increase of load torque and a decreasing trend with the increase of speed.

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“…Therefore, there are many factors that affect the transmission performance of gear reducer. The mismatch of gear parameters may cause vibration instability (Gao et al, 2020). Based on the above problems, Li (2011, 2012) designed an experiment with interactive orthogonal design to analyze the influence of different factors on transmission efficiency.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear torsional vibration model of harmonic gear reducer and the effect of various factors on torsional vibration during start and stop

Zhou

2021

Journal of Vibration and Control

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The torsional vibration problems often occur to industrial robots during start and stop due to the use of flexible wheel in harmonic gear reducer as a transmission pair. Because of the influence of nonlinear stiffness, transmission error, and other factors, the nonlinear torsional vibration of harmonic gear reducer will affect the stability and reliability of transmission system. In this article, based on the structural characteristics of the harmonic gear reducer, considering the nonlinear torsional stiffness, transmission error, meshing damping, and other factors, the nonlinear torsional dynamic model of the harmonic gear reducer was established with the theoretical analysis and the experimental results. Based on this model, the influence of various factors such as rotational speed, moment of inertia, torsional stiffness, and transmission error on the nonlinear torsional vibration of harmonic gear reducer was discussed. The results show that the vibration amplitude of harmonic gear reducer increases with the increase of speed, transmission error, and motor inertia, and decreases with the increase of load inertia and damping. The dynamic model and analysis method established in the study can provide the theoretical guidance for the optimal design and the vibration reduction of harmonic gear reducer.

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Parametric vibrations and instabilities of an elliptical gear pair

Cited by 16 publications

References 26 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

A Method for Calculating Elliptic Gear Transmission Efficiency Based on Transmission Experiment

A nonlinear torsional vibration model of harmonic gear reducer and the effect of various factors on torsional vibration during start and stop

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