Synthesis of the External Non-Circular Gear-Train with Cycloid Profile
Main Article Content
Abstract
Non-circular gears have recently been researched and developed for converting movement in some special cases as well as in continuously variable transmission. However, most of the research on this topic are focused on the non-circular gears with involute profile. In order to design the non-circular gear-train with cycloidal profile (including epicycloid and hypocycloid), the authors present a method to determine profile of the non-circular gear based on application of the cylindrical cycloidal eccentric gearing combining with meshing condition of the gearing theory. The achieved results of this work are useful for manufacture of the new non-circular gear-trains.
Keywords
Non-circular gear, Cycloidal gear profile, Epicycloid, Hypocycloid
Article Details
References
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[2] Faydor L. Litvin, Ignacio Gonzalez-Perez, Kenji Yukishima, Alfonso Fuentes, Kenichi Hayasaka, Generation of planar and helical elliptical gears by application of rack-cutter, hob, and shaper, Comput. Methods Appl. Mech. Engrg. 196 (2007) 4321–4336.
[3] Faydor L. Litvin, Ignacio Gonzalez-Perez, Alfonso Fuentes, Kenichi Hayasaka; Design and investigation of gear drives with non-circular gears applied for seed variation and generation of functions, Comput. Methods Appl. Mech. Engrg. 197 (2008) 3783–3802.
[4] Yazhou Wang, Bo Chen, Chibing Hu, Shuztao Zhang, Te Li, Yongping Liu, Design of Third-order Non-circular Planetary Gear, Advanced Materials Research, Vols. 482-484 (2012) 305–308.
[5] Cristescu Bogdan, Cristescu Ana, Andrei Laurentia, Algorithms For Noncircular Gear Pitch Curves Generation, Applied Mechanics and Materials, Vols. 536-537 (2014) 1295–1300.
[6] Xin Zhang, Shouwen Fan, Synthesis of the steepest rotation pitch curve design for noncircular gear, Mechanism and Machine Theory 102 (2016) 16–35.
[7] G. Yu. Volkov, D. A. Kurasov, M. V. Gorbunov, Geometric Synthesis of the Planetary Mechanism for a Rotary Hydraulic Machine, Russian Engineering Research. Vol. 38, No. 1 (2018) 1–6.
[8] Fangyan Zheng, Lin Hua, Xinghui Han, Bo Li, Dingfang Chen, Synthesis of indexing mechanisms with non-circular gears, Mechanism and Machine Theory 105 (2016) 108–128.
[9] Fangyan Zheng, Lin Hua, Xinghui Han, Mingde Zhang, Wei Qing Zhang, Design and manufacture of new type of non-circular cylindrical gear generated by face-milling method, Mechanism and Machine Theory 122 (2018) 326–346.
[10] Fangyan Zheng, Lin Hua, Xinghui Han, Bo Li, Non-uniform flank rolling measurement for shaped noncircular gears, Measurement, Volume 116 (2018) 207–215.
[11] Lian Xia, Youyu Liu, Dazhu Li, Jiang Han, A linkage model and applications of hobbing non-circular helical gears with axial shift of hob, Mechanism and Machine Theory 70 (2013) 32–44.
[12] Faydor L. Litvin, Alfonso Fuentes, Ignacio Gonzalez-Perez, Luca Carnevali, Thomas M. Sep, New version of Nolvkov-Wildhaber helical gears: computerized design, simulation of meshing and stress analysis, Comput. Methods Appl. Mech. Engrg. 191 (2002) 5707–5740.
[13] Nguyen Hong Thai, Nguyen Thanh Trung, Establishing formulas for design of Roots pump geometrical parameters with given specific flow rate, Journal of Science and Technology, Volume 53, Number 4 (2015) 533–542. Doi: 10.15625/08666708X/53/4/3908.
[14] Faydor L. Litvin, Alfonso Fuentes, Gear Geometry and Applied Theory, Cambridge University Press (2004).
[15] F.L. Litvin, Jan Lu, New Methods for Improved Double Circular-Arc Helical Gears, Report Army Research Laboratory, NASA (1997).