Geometric Design and Kinematics Analysis of Non-Circular Planetary Gear Train with Cycloid Profile
Main Article Content
Abstract
This research presents a method to design a non-circular planetary gear. Therein the satellite gear block consists of eccentric cycloidal gear and elliptical cycloidal gear, which have been given. The mathematical equations of two ring non-circular gears are set up according to the gearing theory considering the undercutting conditions. A numerical calculation program was written on Matlab software to calculate and dynamically analyze this planetary gear. The examples presented in the paper shed light on the design steps of the method. The simulation results show that the non-circular cycloidal gear that can overcome the irregular tooth phenomenon on the traditional non-circular involute gear, and when it is necessary to design infinitely variable speed converters with for large amplitudes, the coefficient λ should be adjusted rather than the coefficient µ.
Keywords
Non-circular planetary gear, pitch curve, tooth profile, cycloidal gear profile, oval gear
Article Details
References
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Design and investigation of gear drives with noncircular gears applied for speed variation and
generation of functions, Computer Methods in
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https://doi.org/10.1016/j.cma.2008.03.001
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of non-circular gears and cam-follower systems as
function generators, Mechanism and Machine
Theory, 43 (8) (2008) 996-1008.
https://doi.org/10.1016/j.mechmachtheory.2007.07.004
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Gonzalez-Perez, Kenichi Hayasaka, Noncircular
Gears Design and Generation, Cambridge University
Press (2009).
https://doi.org/10.1017/CBO9780511605512
[7] D. Mundo, Geometric design of a planetary gear train
with non-circular gears, Mechanism and Machine
Theory 41 (2006) 456-472.
https://doi.org/10.1016/j.mechmachtheory.2005.06.003
[8] Chao Lin, Xiguang Xia, Peilu Li, Geometric design
and kinematics analysis of coplanar double internal
meshing non-circular planetary gear train, Advances
in Mechanical Engineering, 10 (12) (2018) 1-12,
https://doi.org/10.1177/1687814018818910
[9] F.L. Litvin, Alfonso Fuentes, Gear Geometry and
Applied Theory, Cambridge University Press (2004).
https://doi.org/10.1017/CBO9780511547126
[10] Libardo V. Vanegas Useche, Magd M. Abdel-Wahab,
Graham A. Parker, A new noncircular gear pair to
reduce shaft accelerations: A comparison with
sinusoidal and elliptical gears, DYNA 83 (198)
(2016) 219-227.
[11] Nguyen Hong Thai, Truong Cong Giang, Influence of
geometrical dimensions on the profile slippage in the
hypogerotor pump, Journal of Science and
Technology. Vol 56, No 4. (2018) 482-491.
https://doi.org/10.15625/2525-2518/56/4/9625
[12] Tran Ngoc Tien, Nguyen Hong Thai, A novel design
of the Roots blower, Vietnam Journal of Science and
Technology, Vietnam Academy of Science and
Technology 57 (2) 2019, 249-260,
https://doi.org/10.15625/2525-2518/57/2/13094
Design and investigation of gear drives with noncircular gears applied for speed variation and
generation of functions, Computer Methods in
Applied Mechanics and Engineering, 197 (8) (2008)
3783-3802.
https://doi.org/10.1016/j.cma.2008.03.001
[2] D. Mundo, G. Gatti and D. B. Dooner, Optimized
five-bar linkages with non-circular gears for exact
path generation, Mechanism and Machine Theory, 44
(4) (2009) 751-760.
https://doi.org/10.1016/j.mechmachtheory.2008.04.11
[3] Dooner, D. B, Function generation utilizing an eightlink mechanism and optimized non-circular gear
elements with application to automotive steering,
Proceedings of the Institution of Mechanical
Engineers, Part C: Journal of Mechanical Engineering
Science, (2001) 847-857.
https://doi.org/10.1243/0954406011524090
[4] Kurasov, D, Geometric calculation of planetary rotor
hydraulic machines, IOP Conference Series:
Materials Science and Engineering, 862 (2020) 1-6.
https://doi.org/10.1088/1757-899X/862/3/032108
[5] Ottaviano, E., Mundo, D., Danieli, G. A., &
Ceccarelli, M, Numerical and experimental analysis
of non-circular gears and cam-follower systems as
function generators, Mechanism and Machine
Theory, 43 (8) (2008) 996-1008.
https://doi.org/10.1016/j.mechmachtheory.2007.07.004
[6] F.L. Litvin, Alfonso Fuentes-Azna, Ignacio
Gonzalez-Perez, Kenichi Hayasaka, Noncircular
Gears Design and Generation, Cambridge University
Press (2009).
https://doi.org/10.1017/CBO9780511605512
[7] D. Mundo, Geometric design of a planetary gear train
with non-circular gears, Mechanism and Machine
Theory 41 (2006) 456-472.
https://doi.org/10.1016/j.mechmachtheory.2005.06.003
[8] Chao Lin, Xiguang Xia, Peilu Li, Geometric design
and kinematics analysis of coplanar double internal
meshing non-circular planetary gear train, Advances
in Mechanical Engineering, 10 (12) (2018) 1-12,
https://doi.org/10.1177/1687814018818910
[9] F.L. Litvin, Alfonso Fuentes, Gear Geometry and
Applied Theory, Cambridge University Press (2004).
https://doi.org/10.1017/CBO9780511547126
[10] Libardo V. Vanegas Useche, Magd M. Abdel-Wahab,
Graham A. Parker, A new noncircular gear pair to
reduce shaft accelerations: A comparison with
sinusoidal and elliptical gears, DYNA 83 (198)
(2016) 219-227.
[11] Nguyen Hong Thai, Truong Cong Giang, Influence of
geometrical dimensions on the profile slippage in the
hypogerotor pump, Journal of Science and
Technology. Vol 56, No 4. (2018) 482-491.
https://doi.org/10.15625/2525-2518/56/4/9625
[12] Tran Ngoc Tien, Nguyen Hong Thai, A novel design
of the Roots blower, Vietnam Journal of Science and
Technology, Vietnam Academy of Science and
Technology 57 (2) 2019, 249-260,
https://doi.org/10.15625/2525-2518/57/2/13094