Abstract
This paper presents a method to design a compound non-circular gear (CNCG) train with an improved cycloid tooth profile. First, the research established a mathematical model describing the centrodes of the CNCG train to create a variable gear ratio function. Then, the tooth profile of non-circular gears in the CNCG trains is shaped by a rack cutter whose tooth profile is an improved cycloid. A CNCG train with a speed variation range from 1.4 to 5.8 has been experimentally designed and manufactured. A system of experimental equipment to determine the gear ratio function of the CNCG train based on the meshing between the gear pairs in the CNCG train has been manufactured. The experimental results show that the maximum error of the gear ratio function experimental compared to the theoretical one is 4.74%. It shows that the results of this research can be applied into practical systems that require speed variations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Poulle, E.: Équatoires et Horlogerie Planétaire du XIIIe au XVIe Siècle, Tome I, Librairie Droz, pp. 511–550 (1980)
Addomine, M., Figliolini, G., Pennestri, E.: A landmark in the history of non-circular gears design: the mechanical masterpiece of Dondi’sastrarium. Mech. Mach. Theory 122, 219–232 (2018)
da Vinci, L.: Codex Madrid (1493)
Litvin, F.L., Gonzalez-Perez, I., Fuentes, A., Hayasaka, K.: Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Comput. Methods Appl. Mech. Eng 197, 3783–3802 (2008)
Mundo, D., Gatti, G., Dooner, D.B.: Optimized five-bar linkages with non-circular gears for exact path generation. Mech. Mach. Theory 44(4), 751–760 (2009)
Dooner, D.B.: Function generation utilizing an eight-link mechanism and optimized non-circular gear elements with application to automotive steering. In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, pp. 847–857 (2001)
Tien, T.N., Thai, N.H.: A novel design of the roots blower. Viet. J. Sci. Technol. 57(2), 249–260 (2019)
Thai, N.H., Long, N.D.: A new design of the Lobe pump is based on the meshing principle of elliptical gear pairs. Sci. Technol. Dev. J. Eng. Technol. 4(2), 861–871 (2021)
Kurasov, D.: Geometric calculation of planetary rotor hydraulic machines. IOP Conf. Ser. Mater. Sci. Eng. 862, 1–6 (2020)
Ottaviano, E., Mundo, D., Danieli, G.A., Ceccarelli, M.: Numerical and experimental analysis of non-circular gears and cam-follower systems as function generators. Mech. Mach. Theory 43(8), 996–1008 (2008)
Xu, G., Hua, D., Dai, W., Zhang, X.: Design and performance analysis of a coal bed gas drainage machine based on incomplete non-circular gears. Energies. 2–19 (2017)
Zhao, X., Chu, M., Ma, X., Dai, L., Ye, B., Chen, J.: Research on design method of non-circular planetary gear train transplanting mechanism based on precise poses and trajectory optimization. Adv. Mech. Eng. 10(12), 1–12 (2018)
Zhao, X., Ye, J., Chu, M., Dai, L., Chen, J.: Automatic scallion seedling feeding mechanism with an asymmetrical high-order transmission gear train. Chinese J. Mech. Eng. 33(1), 2–14 (2020)
Zhou, M., Yang, Y., Wei, M., Yin, D.: Method for generating non-circular gear with addendum modification and its application in transplanting mechanism. Int. J. Agricult. Biol. Eng. 13(6), 68–75 (2020)
Bair, B.W.: Computer aided design of non-standard elliptical gear drives. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 216(4), 473–482 (2001)
Bair, B.W., Sung, M.-H., Wang, J.-S., Chen, C.-F.: Tooth profile generation and analysis of oval gears with circular-arc teeth. Mech. Mach. Theory 44, 1306–1317 (2009)
Thai, N.H., Trung, N.T.: Establishing formulas for design of Roots pump geometrical parameters with given specific flow rate. Viet. J. Sci. Technol. 53(4), 533–542 (2015)
Thai, N.H., Giang, T.C.: Influence of geometrical dimensions on the profile slippage in the hypogerotor pump. Viet. J. Sci. Technol. 56(4), 482–491 (2018)
Thai, N.H., Tien, T.N., Dung, P.T., Huy, N.Q.: Influence of the designing parameters on flow fluctuation and pressure of the improved roots blower. In: International Conference of Fluid Machinery and Automation Systems - ICFMAS2018, pp. 196–203 (2018)
Thai, N.H.: Shaping the tooth profile of elliptical gear with the involute ellipse curve. Sci. Technol. Dev. J. Eng. Technol. 24(3), 1048–1056 (2021)
Litvin, F.L., Fuentes-Azna, A., Gonzalez-Perez, I., Hayasaka, K.: Noncircular Gears Design and Generation. Cambridge University Press, Cambridge (2009)
Thai, N.H., Trung, N.T., Viet, N.H.: Research and manufacture of external non-circular gear-pair with improved cycloid profile of the ellipse. Sci. Technol. Dev. J. Eng. Technol. 24(2), 835–845 (2021)
Tien, T.N., Thai, N.H., Long, N.D.: Effects of head gaps and rotor gap on flow rate and hydraulic leakage of a novel non-contact rotor blower. Viet. J. Sci. Technol. 57(4A), 125–140 (2019)
Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory. Cambridge University Press, Cambridge (2004)
Thai, N.H., Thom, P.V., Lam, D.B.: Effects of pressure angle on uneven wear of a tooth profile of an elliptical gear generated by ellipse involute. Sci. Technol. Dev. J. Eng. Technol. 24(3), 2031–2043 (2021)
Thai, N.H., Trung, N.T., Nghia, L.X., Duong, N.T.: Synthesis of the external non-circular gear-train with cycloid profile. J. Sci. Technol. Tech. Univ. 145, 033–039 (2020)
Thai, N.H., Trung, N.T., Nghia, L.X., Duong, N.T.: Profile sliding phenomenon in the external non-circular gear-train with cycloidal profile. Eng. Technol. Sustain. Dev. 31(2), 053–057 (2021)
Viet, N.H., Thai, N.H.: Geometric design and kinematics analysis of non - circular planetary gear train with cycloid profile. Eng. Technol. Sustain. Dev. 31(3), 105–112 (2021)
Thai, N.H., Trung, N.T.: Pitch line synthesis of noncircular planetary gears. J. Sci. Technol. Tech. Univ. 140, 05–010 (2020)
Acknowledgments
This work was supported by Project of Ministry of Education and Training, Vietnam. Under grant Number: B2019 - BKA – 09.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Thai, N.H., Ly, T.T.K., Trung, N.T. (2022). Research Design and Experimental Manufacturing of Compound Non-circular Gear Train with an Improved Cycloid Profile of the Ellipse. In: Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H., Sattler, KU. (eds) Advances in Engineering Research and Application. ICERA 2021. Lecture Notes in Networks and Systems, vol 366. Springer, Cham. https://doi.org/10.1007/978-3-030-92574-1_83
Download citation
DOI: https://doi.org/10.1007/978-3-030-92574-1_83
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92573-4
Online ISBN: 978-3-030-92574-1
eBook Packages: EngineeringEngineering (R0)