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Abstract

The movement law of the noncircular gear drive is determined by the shape of the noncircular gear pitch curve. Therefore, the design of the pitch curve of the noncircular gear is very important. On the other hand, if the noncircular gear pitch curves are concave or cusp, the tooth profile of noncircular gear cannot be generated. In order to obtain more movement laws of noncircular gear and ensure the convexity of noncircular gear pitch curves, this paper designed a new noncircular gear with curvature radius function. In the tangent polar coordinate, the relationship between diameter and curvature of curve was established. The mathematical model of noncircular gear pair was deduced. The arc lengths of the noncircular gear pairs were calculated and the concavity of the driven noncircular gear was judged. A noncircular gear auxiliary design program wrote by using the MATLAB language. The tooth profile design of noncircular gear was introduced. The given examples showed that the mathematical calculation of the noncircular gear is reasonable, and this new noncircular gear can be well applied to the actual machinery.

Keywords

Noncircular gear curvature MATLAB pitch curve modeling

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References

Karpov

Nosko

Fil

et al., Prevention of resonance oscillations in gear mechanisms using noncircular gears, Mechanism and Machine Theory 114 (2017), 1–10.

G.H.

Chen

J.N.

and Tong

Z.P.

, Multi-objective optimization of mixed high-order fourier noncircular gear-driven differential pump, Transactions of the Chinese Society of Agricultural Machinery 47(1) (2016), 384–390.

Chen

Liu

F.L.

G.X.

et al., Modified eccentric circular-noncircular gear transmission and its application to differential velocity vanes pump, Mechanical Science and Technology 24(6) (2005), 719–722.

Chen

J.N.

Zhao

H.C.

Wang

et al., Kinematic modeling and characteristic analysis of eccentric conjugate non-circular gear & crank-rocker & gears train weft insertion mechanism, Journal of Donghua University (English Edition) 30(1) (2013), 15–20.

Zheng

Hua

Han

et al., Generation of noncircular bevel gears with free-form tooth profile and tooth tength-wise based on screw theory, Journal of Mechanical Design 138(6) (2016), 064501.

Zheng

F.Y.

Hua

Han

X.H.

et al., Synthesis of indexing mechanisms with non-circular gears, Mechanism and Machine Theory 105 (2016), 108–128.

C.B.

Wang

Y.Z.

Huang

et al., Calculation and analysis of pitch curve of third-order non-circular planetary gear mechanism, Journal of Lanzhou University of Technology 10 (2012), 21–24.

Dooner

D.B.

, Use of noncircular gears to reduce torque and speed fluctuations in rotating shafts, Journal of Mechanical Design 119(2) (1997), 299–306.

Karpov

Nosko

Fil

et al., Prevention of resonance oscillations in gear mechanisms using non-circular gears, Mechanism and Machine Theory 114 (2017), 1–10.

10.

Liu

and Ren

, Study on deformed limacon gear and motion iterative of its serial mechanism, Journal of Mechanical Design 133(6) (2011), 061004.

11.

Zhang

and Fan

, Synthesis of the steepest rotation pitch curve design for noncircular gear, Mechanism and Machine Theory 102 (2016), 16–35.

12.

X.T.

and Wang

G.H.

, Noncircular Gear and Non Uniform Ratio Drive, Beijing: China Machine Press, 1997.

13.

F.S.

, Transmission Design of Noncircular Gear and Special Gear, Mechanical Industry Press, Beijing, 1983.

14.

Wang

Liu

and He

, Drawing of enclosed non-circular gear tooth profile based on conversion method of tooth profile, Journal of Mechanical Transmission 38(8) (2014), 74–76.

15.

Han

Gao

Jiang

et al., Tooth profile characteristics analysis and deviation measurement study of non-circular gear, Journal of Electronic Measurement & Instrumentation 30(10) (2016), 1520–1532.

16.

Gong

S.M.

and Zhan

X.G.

, Mechanical optimal design based on MATLAB optimization toolbox, Mechanical Engineers (10) (2008), 92–94.

17.

Wang

Chen

J.N.

Zhao

et al., Parameter optimization and experiment of planting mechanism driven by planetary non-circular gears, Transactions ofhe Chinese Society of Agricultural Machinery 46(9) (2015), 85–93.

Design and modeling of noncircular gear with curvature radius function

Abstract

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