Abstract
Eccentric elliptical gears are a special case of non-circular gears used in generating gear drives with variable gear ratios. This type of gear can create a speed increase and reducer of the output shaft relative to the input shaft in one working cycle. In this study, the authors present a method to establish computational expressions for the geometrical design of a pair of improved cycloid profile eccentric elliptical gears taking into account avoiding undercutting. First, a mathematical model of the centrode of an eccentric ellipse gear pair is established. After, the mathematical equation describing the tooth profile of the eccentric ellipse gear is established based on the theory of the enveloping by rack cutter with an improved cycloid profile. Based on research theory, this research wrote a numerical calculation program for the survey and design purposes on Matlab software. Since then, a pair of eccentric elliptical gears has been manufactured on a 3-axis CNC milling machine to demonstrate the practicality of the research theory. Experimentally manufactured gear drives the output shaft has a variable speed and torque range from 0.33 to 3 times versus input shaft, which makes it different from traditional circular gear drives and conventional non-circular gear pairs.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Niculescu DM, Andrei L, Cristescu A (2016) Generation of noncircular gears for variable motion of the crank-slider mechanism. In: 7th international conference on advanced concepts in mechanical engineering, IOP conf. series: materials science and engineering, vol 147
Mundo D, Danieli GA (2004) Use of non-circular gears in pressing machine driving systems. In: Proceedings of IASME international conference on mechanics and mechatronics, pp 483–172
Chen JN, Yan JJ, Sun L, Zhou M (2014) Analysis of a novel traverse mechanism driven by non-circular gears with Fourier pitch-line applied on silk reeling machine. Appl Mech Mater 536–537:1295–1300
Trung NT, Viet NH, Thai NH (2021) Research and manufacturing of oval gear pair applied in rotor of a roots type compressor. Eng Technol Sustain Dev 31(5):031–038
Thai NH, Trung NT, Viet NH (2021) Research and manufacture of external non-circular gear-pair with improved cycloid profile of the ellipse. Sci Technol Dev J-Eng Technol 4(2):835–845
Thai NH, Thom PV, Lam D (2021) B, Effects of pressure angle on uneven wear of a tooth profile of an elliptical gear generated by ellipse involute. Sci Technol Dev J 24(3):2031–2043
Korotkin VI, Onishkov NP, Kharitonov YD, Gearing N (2011) Achievements and developments. Nova Science Pub Inc
Thai NH, Trung NT, Duong NT, Viet NH (2020) Shaping tooth profile of common non-circular gears using rack and Novikov tooth profile. J Sci Technol Tech Univ 40:011–017
Ottaviano E, Mundo D, Danieli GA, Ceccarelli M (2008) Numerical and experimental analysis of non-circular gears and cam-follower systems as function generators. Mech Mach Theory 43:996–1008
Guo LS, Zhang WJ (2001) Kinematic analysis of a rice transplanting mechanism with eccentric planetary gear trains. Mech Mach Theory 36:1175–1188
Xu G, Hua D, Dai W, Zhang X (2017) Design and performance analysis of a coal bed gas drainage machine based on incomplete non-circular gears. Energies 10:2–19
Kang J et al (2012) Control method for output speed during velocity ratio change under high rotational speed using an uninterrupted transmission system. J Adv Mech Des Syst Manuf 6(7):1281–1297
Thai NH, Trung NT (2022) A novel curve for the generation of the non-circular gear tooth profile. Int J Eng Trans B Appl 35(5):1024–1036. https://doi.org/10.5829/ije.2022.35.05b.18
Thai NH, Thom PV (2021) 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. https://doi.org/10.1007/978-981-19-1968-8_14
Bair BW (2001) Computer aided design of non-standard elliptical gear drives. Proc Inst Mech Eng C J Mech Eng Sci 216:473–482
Bair BW, Sung M-H, Wang J-S, Chen C-F (2009) Tooth profile generation and analysis of oval gears with circular-arc teeth. Mech Mach Theory 4:1306–1317
Prikhodko AA (2021) Force analysis of the two-satellite planetary mechanism with elliptical gears. Mech Mech Eng 25(1):39–46
Thai NH, Trung NT, Nghia LX, Duong NT (2021) Profile sliding phenomenon in the external non-circular gear-train with cycloidal profile. Eng Technol Sustain Dev 31(2):053–057
Thai NH, Trung NT, Nghia LX, Duong NT (2020) Synthesis of the external non-circular gear-train with cycloid profile. J Sci Technol Tech Univ 145:033–039
Viet NH, Thai NH (2021) Geometric design and kinematics analysis of non-circular planetary gear train with cycloid profile. Eng Technol Sustain Dev 31(3):105–112
Thai NH, Thom PV, Trung NT (2021) 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. https://doi.org/10.1007/978-3-030-91892-7_19
Thai NH, Thom PV, Trung NT (2021) 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. https://doi.org/10.1007/978-981-19-1968-8_11
Thai NH, Ly TTK, Trung NT (2021) 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
Litvin FL, Alfonso F-A, Ignacio G-P, Kenichi H (2009) Noncircular gears design and generation. Cambridge University Press, New York
Thai NH, Trung NT (2020) Pitch line synthesis of noncircular planetary gears. J Sci Technol Tech Univ 140:05–010
Jung SY, Han SM, Cho HY, Kim C (2009) Automated design system for a rotor with an ellipse lobe profile. J Mech Sci Technol 23:2928–2937
Litvin FL, Fuentes F (2004) Gear geometry and applied theory. Cambridge University Press, New York
Litvin FL et al (2008) Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Comput Methods Appl Mech Eng 197(45–48):3783–3802
Litvin FL et al (2007) Generation of planar and helical elliptical gears by application of rack-cutter, hob, and shaper. Comput Methods Appl Mech Eng 196(41–44):4321–4336
Thai NH (2021) Shaping the tooth profile of elliptical gear with the involute ellipse curve. Sci Technol Dev J 4(3):1048–1056
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
Thai, N.H., Trung, N.T., Thom, P.V. (2023). Research Design and Manufacture Eccentric Elliptical Gear Pair with an Improved Cycloid Profile. In: Long, B.T., et al. Proceedings of the 3rd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2022). MMMS 2022. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-31824-5_42
Download citation
DOI: https://doi.org/10.1007/978-3-031-31824-5_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-31823-8
Online ISBN: 978-3-031-31824-5
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)