Generic placeholder image

Recent Patents on Engineering

Editor-in-Chief

ISSN (Print): 1872-2121
ISSN (Online): 2212-4047

General Research Article

Choice of Noncircular Gears Hobbing Linkage Methods

Author(s): Wang Yazhou*, Xiao Junfeng, Liu Yongping and An Jianmin

Volume 13, Issue 1, 2019

Page: [69 - 74] Pages: 6

DOI: 10.2174/1872212112666180815121314

Price: $65

Abstract

Background: Various relevant patents and papers which have reported noncircular gears synthesize the advantages of circular gears and cam mechanisms, and are widely used in many types of mechanical instruments. Hobbing is a better method for fabricating noncircular gears. There are 4 linkagemethods to hob noncircular gears. However, which linkage method should be chosen practically has not yet been reported.

Objective: The goal of this work is to choose the best linkage method for hobbing noncircular gears.

Method: Firstly, the hobbing models of noncircular gears was deduced. Then, based on the model, hobbing linkage methods of noncircular gears were obtained. Thirdly, under different hobbing linkage methods, their aspects (developing regularity of hobbing cutter trace, arc length of program blocks and motion axes of machine tools) were compared.

Results: Finally, with the best characteristics of a high density of shaping cutter trace, high uniformity of arc length of program blocks and ease of control, the equal arc-length of gear billet (EALGB) is obtained. It has been proven that EALGB is an excellent linkage method to hob noncircular gears.

Conclusion: It has been proven that EALGB is an excellent linkage method to hob noncircular gears.

Keywords: Noncircular gears, hobbing, linkage mathods, hobbing cutter trace, are length of program blocks, motion axes of machine tools.

Graphical Abstract

[1]
A.S. Ahmad, and K. Ahmet, "A nonlinear torsional dynamic model of multi-mesh gear trains having flexible shafts", Jordan J. Mechan. Industr. Eng., vol. 1, pp. 31-41, 2007.
[2]
Q.L. Chang, and L. Hou, "Parallel translating mechanism process-oriented mathematical model and 3-D model for cylindrical gears with curvilinear shaped teeth", Jordan J. Mechan. Industr. Eng., vol. 10, pp. 171-177, 2016.
[3]
Y. Kiyosawa, Wave gear device. U.S. Patent 20070157760, 2007.
[4]
Y. Kiyosawa, Wave Generator for strain wave gearing and method for producing wave generator. U.S. Patent 20170059024, 2017.
[5]
M. Kunugi, Robot and gear device. U.S. Patent 20180087643, 2018.
[6]
Y. Kataoka, Reduction gear and robot. U.S. Patent 20160333966, 2016.
[7]
T. Ebihara, T. Morita, and K. Udo, Gear pump. U.S. Patent 20150030488, 2015.
[8]
L. Xia, Y.Y. Liu, D.Z. Li, and J.A. Han, "Linkage model and applications of hobbing non circular helical gears with axial shift of hob", Mechanism Mach. Theory, vol. 70, pp. 32-44, 2013.
[9]
G. Lv, S.W. Fan, and X. Zhang, "Study on the design and the shaping of the pitch surface of a multi-lobed non circular bevel gear", J. Automob. Eng., vol. 230, pp. 1-12, 2016.
[10]
J.D. Watford, W.C. Cain, J. Stewart, J.K. Mitchell, and J.A. Bello, Feed oscillation via variable pitch gears. U.S. Patent 20170136590, 2017.
[11]
M. Domenico, A transmission mechanism for pedal vehicules using non circular gears. WO Patent 2006038241, 2006.
[12]
S.J. Pax, Shaker conveyor with elliptical gear drive system. U.S. Patent 20110253513, 2011.
[13]
"D. W. Liu, and T. Z. Ren, “Study on deformed limacon gear and motion optimization of its serial mechanism”", J. Mechan. Des.. vol. 133, pp. 061004-1-8, 2011.
[14]
A. Q. HaidarFadhil, "M. A. Ahmed, and S. K. Karam, “Numerical and theoretical analysis of a straight bevel gear made from orthotropic materials", Jordan J. Mechan. Industr. Eng., vol. 11, pp. 35-40, 2017.
[15]
H. Qiu, and G. A. Deng, A calculation approach to complete profile of non-circular gear teeth, Mechatronics and automatic control systems. Springer international publishing, 2014.
[16]
Y.P. Liu, J. Gong, and X.T. Wu, "Investigation on the grinding of non-circular gears with CNC conical wheel gear grinder", Int. J. Adv. Manuf. Technol., vol. 64, pp. 349-356, 2013.
[17]
S. Aoyama, and S. Nomoto, Gear cutting apparatus. U.S. Patent 3651737, 1972.
[18]
D. Schwenke, Method and machine for accurate formation of teeth on elliptical gears. U.S. Patent 3874267, 1975.
[19]
F.L. Litvin, and A. Fuentes, Gear geometry and applied theory., 2nd edition Cambridge University Press, 2004.
[20]
G.H. César, G.M. Rafael María, H.T. José-Luis, E. Nikolaos, and K. Panagiotis, "WEDM manufacturing method for non-circular gears, using CAD CAM software", J. Mechan. Eng., vol. 62, pp. 137-144, 2016.
[21]
H. Chen, W.S. Zhao, X.C. Xi, M. Chen, and W. Liang, "Non circular parametric curve and curved surface interpolation and tool compensation for WEDM based on unit arc length increment method", Int. J. Adv. Manuf. Technol., vol. 88, pp. 1257-1266, 2017.
[22]
C. Lin, F. Yu, Z.W. Zhang, L.Z. Cai, and Z.H. Li, "Tooth surface and pitch error analysis of elliptical bevel gearing by additive manufacturing", J. Harbin Insti. Technol., vol. 46, pp. 69-5, 2014.
[23]
W.H. Zhuang, L. Hua, X.H. Han, and L.Y. Dong, "Distribution of microstructure and vickers hardness in spur bevel gear formed by cold rotary forging", Adv. Mech. Eng., vol. 2014, pp. 1-13, 2014.
[24]
Y.Y. Liu, J. Han, L. Xia, and X.Q. Tian, "Hobbing strategy and performance analyses of linkage models for non-circular helical gears based on four-axis linkage", J. Mechan. Eng., vol. 58, pp. 701-708, 2012.
[25]
W.M. Tan, C.B. Hu, W.J. Xian, and Y. Ou, "Concise mathematical model for hobbing non circular gear and its graphic simulation", Chin. J. Mech. Eng., vol. 37, pp. 26-29, 2001.
[26]
W.M. Tan, C.B. Hu, and Z.H. Wei, "Simultaneous-control structures of CNC system for hobbing non- circular gears", Chin. J. Mech. Eng., vol. 9, pp. 24-27, 1998.
[27]
W.M. Tan, C.B. Hu, S.T. Yan, Q.Z. Hou, B.C. Tian, Z.X. Li, J.H. Ji, and H.Y. Yin, "Simultaneous-control structure of gear hobbing CNC, system based on electronic-gearing", Chin. J. Mech. Eng., vol. 9, pp. 42-44, 1998.
[28]
C.B. Hu, H.Y. Ding, K.M. Yan, and Z.X. Wu, "Simultaneous-control methods of CNC for hobbing non circular helical gears", Chin. J. Mech. Eng., vol. 15, pp. 2175-2178, 2004.
[29]
Y.Y. Liu, J. Han, L. Xia, and G.Z. Zhang, "Hobbing Process strategy for non-circular helical gears and performance analyses for functional models", Trans. Chin. Soci. Agricult. Mach., vol. 44, pp. 281-287, 2013.
[30]
W. Beaugrand, Mechanical transmission for a mail-stacking unit, comprising a clutch-brake and elliptical gears. WO Patent 2016038268, 2016.
[31]
T. Kobayashi, Conical involute gear and gear pair. U.S. Patent 8225691, 2012.
[32]
J.G. Glaze, and T.L. Oster, Bevel gear differential with conical spherical gear seats. U.S. Patent 4733578, 1988.
[33]
T. Kobayashi, Conical involute gear and gear pair. EP Patent 20080022800, 2008.
[34]
M.F. Tsay, and Z.H. Fong, "Study on the generalized mathematical model of non-circular gears", Math. Comput. Model., vol. 41, pp. 555-569, 2005.
[35]
G.H. Xu, and J.N. Chen, "Modeling and simulation of Fourier section curves of non-circular gear and study on impact of parameters", Hydromechatr. Eng., vol. 41, pp. 69-73, 2013.
[36]
G.H. Xu, J.N. Chen, and G.F. Zhang, "Design and performance analysis of Fourier non circular gear-driven differential pump", Trans. Chin. Soci. Agricult. Mach., vol. 45, pp. 80-87, 2014.
[37]
G.H. Xu, J.N. Chen, and Z.P. Tong, "Multi-objective optimization of mixed high-order Fourier non circular gear-driven differential pump", Trans. Chin. Soci. Agricult. Mach., vol. 47, pp. 383-390, 2016.

Rights & Permissions Print Cite
© 2024 Bentham Science Publishers | Privacy Policy