Abstract
This paper presents a design method for a compound non-circular gear train (CNCG) with a pair of internal gears and mathematical model synthesis of the mating centrode for the CNCG train according to the mating centrode of gear 1 and gear 4. A CNCG train design with a variable speed and torque range from 0.4 to 1.8, after evaluating and discussing the kinematic characteristics of the CNCG train with the criterion is that the mating centrode of the non-circular gears in the CNCG train is convex curves. In the CNCG train, the outer ring gears are shaped by the rack cutter, while the shaper cutter shapes the inner ring gear.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
Niculescu, M., Andrei, L., Cristescu, A.: Generation of noncircular gears for variable motion of the crank-slider mechanism. In: 7th International Conference on Advanced Concepts in Mechanical Engineering, Materials Science and Engineering, p. 147 (2016)
GarcÃa Hernández, C., Gella MarÃn. R.M., HuertasTalón, J.L., Efkolidis, N., Kyratsis, P.: WEDM manufacturing method for noncircular gears, using CAD/CAM software. StrojniÅ¡ki Vestn.-J. Mech. Eng. 62, 137–144 (2016)
Trung, N.T., Viet, N.H., Thai, N.H.: Research and manufacturing of oval gear pair applied in rotor of a roots type compressor. Eng. Technol. Sustain. Dev. 31(5), 31–38 (2021)
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)
Guo, L.S., Zhang, W.J.: Kinematic analysis of a rice transplanting mechanism with eccentric planetary gear trains. Mech. Mach. Theory 36, 1175–1188 (2001)
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. Chin. J. Mech. Eng. 33(1), 1–14 (2020). https://doi.org/10.1186/s10033-020-0432-9
Volkov, G.Y., Kurasov, D.A., Gorbunov, M.V.: Geometric synthesis of the planetary mechanism for a rotary hydraulic machine. Russ. Eng. Res. 38(1), 1–6 (2018). https://doi.org/10.3103/S1068798X18010161
Mundo, D.: Geometric design of a planetary gear train with non-circular gears. Mech. Mach. Theory 41, 456–472 (2006)
Thai, N.H., Giang, T.C.: Influence of geometrical dimensions on the profile slippage in the hypogerotor pump. Vietnam J. Sci. Technol 56(4), 482–491 (2018)
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)
Thai, N.H.: Shaping the tooth profile of elliptical gear with the involute ellipse curve. Sci. Technol. Dev. J.-Eng. Technol. 4(3), 1048–1056 (2021)
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. Tech. Dev. J. 24(3), 2031–2043 (2021)
Hsieh, C.F.: A new curve for application to the rotor profile of rotary lobe pumps. Mech. Mach. Theory 87, 70–81 (2015)
Thai, N.H., Trung, N.T.: A novel curve for the generation of the non-circular gear tooth profile. Int. J. Eng. Trans. B: Appl. 35(5), 1024–1036 (2022)
Thai, N.H., Ly, T.T.K., Trung, N.T.: Research design and experimental manufacturing of compound non-circular gear train with an improved cycloid profile of the ellipse. In: International Conference on Engineering Research and Applications, pp. 813–825 (2021)
Uicker, J.J., Pennock, G.R., Shigley, J.E., Mccarthy, J.M.: Theory of Machines and Mechanicsms, Oxford University Press (2003)
Kolovsky, M.Z., Evgrafov, A.N., Semenov, Y.A., Slousch, A.V.: Advanced Theory of Mechanisms and Machines. Springer, Berlin (2000)
Thai, N.H., Trung, N.T.: Pitch line synthesis of noncircular planetary gears. J. Sci. Technol. Tech. Univ 140, 05–010 (2020)
Thai. N.H., Thom. P.V., Trung. N.T.: Influence of centrodes coefficient on the characteristic of gear ratio function of the compound non-circular gear train with improved cycloid tooth profile. In: IFToMM Asian Conference on Mechanism and Machine Science, pp. 204–214 (2021)
Thai. N.H., Thom. P.V.: Research on the characteristics of tooth shape and size of the oval gear drive with an involute profile. In: The AUN/SEED-Net Joint Regional Conference in Transportation, Energy, and Mechanical Manufacturing Engineering, pp. 167–184 (2021)
Litvin, F.L., Fuentes-Azna, A., Gonzalez-Perez, I., Hayasaka, K.: Noncircular Gears Design and Generation. Cambridge University Press (2009)
Thai. N.H., Thom. P.V., Trung. N.T.: Experimental design and manufacture a pair of the internal non-circular gears with an improved cycloid profile. In: The AUN/SEED-Net Joint Regional Conference in Transportation, Energy, and Mechanical Manufacturing Engineering, pp. 118–134 (2021)
Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory. Cambridge University Press (2004)
Viet, N.H., Thai, N.H.: Geometric design and kinematics analysis of non-circular planetary gear train with cycloid profile. Eng. Technol. Sustain. Develop 31(3), 105–112 (2021)
Acknowledgements
This research was funded by the Hanoi University of Science and Technology, code: T2022-PC-030. We would like to thank the editorial board of the ICERA 2022 conference.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Trung, N.T., Van Thom, P., Thai, N.H. (2023). The Design of the Compound Non-circular Gear Train Has an Internal Gears Pair with an Improved Cycloid Tooth Profile. In: Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H., Sattler, KU. (eds) Advances in Engineering Research and Application. ICERA 2022. Lecture Notes in Networks and Systems, vol 602. Springer, Cham. https://doi.org/10.1007/978-3-031-22200-9_97
Download citation
DOI: https://doi.org/10.1007/978-3-031-22200-9_97
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-22199-6
Online ISBN: 978-3-031-22200-9
eBook Packages: EngineeringEngineering (R0)