Replacing the involute profile with an improved  cycloid profile to improve the bearing capacity for the elliptical gear drives : The elliptical gear drives

Nguyen Hong Thai; Phung Van Thom

doi:10.15625/2525-2518/18247

Author affiliations

Authors

Nguyen Hong Thai Faculty of Mechatronics, School of Mechanical, Hanoi University of Science and Technology, No. 1, Dai Co Viet, Hai Ba Trung, Ha Noi, Viet Nam https://orcid.org/0000-0003-3336-7119
Phung Van Thom Faculty of Mechatronics, School of Mechanical, Hanoi University of Science and Technology, No. 1, Dai Co Viet, Hai Ba Trung, Ha Noi, Viet Nam

DOI:

https://doi.org/10.15625/2525-2518/18247

Keywords:

improved cycloid profile, involute profile, elliptical gear drives, geometric shapes, load capacity, geometric parameters

Abstract

The involute curve is the most widely used in the design of tooth profiles for non-circular gears (NCGs) because of its mathematical simplicity and convenience for design and manufacture. Still, the condition to avoid undercutting often results in a large number of teeth and a small tooth size that reduces the load capacity of the gear drives. On the other hand, in elliptical gears (EGs), a particular case of NCGs, the unequal radii of the centrodes lead to unequal geometric shapes of the teeth arranged on the gear. To overcome the above phenomena and improve the load capacity of the gear drives in this study, the authors applied the improved cycloid profile as the tooth profile of the centered elliptical gear. The paper analyzes and evaluates to verify the disadvantages of tooth geometry of EG drives with the involute profile. On that basis, an improved cycloid curve is applied to improve the irregularity and increase the teeth size distributed on the gear. Two prototype gear drives with the same centrodes with ellipse involute and improved cycloid profiles were manufactured and experimental. The results showed that the EG drives with the improved cycloid profile allowed the design with fewer teeth than the involute profile to make the tooth size larger. Also, the experimental results showed that the practical versus theoretical gear ratio error value of the EG drives with improved cycloid profile and involute profile is 3.37% and 6.67%, respectively. It verified that the EG drives with the improved cycloid profile meshing process more smoothly than those with the involute profile. The research results are significant for applying and developing the improved cycloid profile in designing and manufacturing EG drives requiring high torque and precision.

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References

Dong C., Liu Y., and Wei Y. - Dynamic contact characteristics analysis of elliptical cylinder gear under different load conditions, Journal of Huazhong University of Science and Technology 47 (2019) 103-107. https://doi.org/ 10.13245/j.hust.190820.

Liu D., Lu J., Cao Y., and Jin X. - Dynamic characteristics of two-mass impact pipeline robot driven by non-circular gears, Advances in Mechanical Engineering 14 (5) 2022. https://doi.org/10.1177/16878132221095913.

Prikhodko A. - Dynamic analysis of intermittent-motion conveyor actuator, Actuators 10 (8) 2021. https://doi.org/10.3390/act10080174.

Chen J. N., Yan J. J., Sun L., and Zhou M. - Analysis of a novel traverse mechanism driven by non-circular gears with Fourier pitch-line applied on silk reeling machine, In Applied Mechanics and Materials 536 (2014) 1295-1300. https://doi.org/10.4028/ www.scientific.net/AMM.536-537.1295.

Zare S., Tavakolpour-Saleh A. R., Aghahosseini A., and Mirshekari, R. - Thermoacoustic Stirling engines: A review, International Journal of Green Energy 20 (1) (2023) 89-111. https://doi.org/10.1080/15435075.2021.2021414.

Emura T., and Arakawa A. - A new steering mechanism using noncircular gears, JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry 35 (4) (1992) 604-610. https://doi.org/10.1299/jsmec1988.35.604.

Volkov G. Y., Fadyushin D. V. - Improvement of the method of geometric design of gear segments of a planetary rotary hydraulic machine, In Journal of Physics: Conference Series 1889 (4) (2021) 042052. https://doi.org/10.1088/1742-6596/1889/4/042052.

Liu D., Ba Y., and Ren T. - Flow fluctuation abatement of high-order elliptical gear pump by external noncircular gear drive, Mechanism and Machine Theory 134 (2019) 338-348. https://doi.org/10.1016/j.mechmachtheory.2019.01.011.

Zhou M., Yang Y., Wei M., and Yin D. - Method for generating non-circular gear with addendum modification and its application in transplanting mechanism, International Journal of Agricultural and Biological Engineering 13 (6) (2020) 68-75. https://doi.org/ 10.25165/j.ijabe.20201306.5659.

Zhou M., Hua Z., Wang J., Wang L., Zhao Y., and Yin D. - New type of transverse moving box mechanism for pot seedling transplanting machine, Int J. Agric & Biol Eng. 11 (2) (2018) 70-75. https://doi.org/10.25165/j.ijabe.20181102.2867.

Zhao X., Ye J., Chu M., Dai L., and Chen J. - Automatic Scallion Seedling Feeding Mechanism with an Asymmetrical High-order Transmission Gear Train, Chin. J. Mech. Eng. 33 (10) 2020. https://doi.org/10.1186/s10033-020-0432-9.

Ottaviano E., Lanni C., Tavolieri C., Mundo D., Danieli G., Fanghella P., and Ceccarelli M. - An Experimental Comparative Study on Non-Circular Gears and Cam Transmissions for a Blood Pumping System, In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 42568 (2006) 371-380. https://doi.org/10.1115/DETC2006-99166.

Dong C., Pei W., Liu Y., Wei Y., Li D., Guo R., and Ren Z. - Experimental Research on Transmission Characteristics of Elliptic Gear Transmission Systems, Strojniški vestnik-Journal of Mechanical Engineering 68 (11) (2022) 702-712. https://doi.org/10.5545/sv-jme.2022.332.

Litvin F. L., Gonzalez-Perez I., Fuentes A., and Hayasaka K. - Tandem design of mechanisms for function generation and output speed variation, Computer methods in applied mechanics and engineering 198 (5-8) (2009) 860-876. https://doi.org/10.1016/ j.cma.2008.10.010.

Colbourne J. R - The Geometry of Involute Gears, Spinger, New Yord, 1987.

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, Computer methods in applied mechanics and engineering 197 (45-48) (2008) 3783-3802. https://doi.org/10.1016/j.cma.2008.03.001.

Korotkin Viktor I., Nikolay P. Onishkov, and Yuri D. Kharitonov - Novikov gearing: Achievements and development - Novikov Gearing: Achievements and Development, Nova Science Publishers Inc, New York, 2011.

Viktor I. Korotkin , Nikolay P. Onishkov, Yury D. Kharitonov - Novikov Gearing Achievements and Developments, Nova Science Pub Inc, 2011.

Bair B. W., Sung M. H., Wang J. S., and Chen C. F. - Tooth profile generation and analysis of oval gears with circular-arc teeth, Mechanism and machine theory 44 (6) (2009) 1306-1317. https://doi.org/10.1016/j.mechmachtheory.2008.07.003.

Bair B. W. - Computer aided design of non-standard elliptical gear drives, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 216 (4) (2001) 473-482. https://doi.org/10.1243/0954406021525250.

Liu J. G., Tong Z. P., Yu G. H., Zhao X., and Zhou H. L. - Design and application of non-circular gear with cusp pitch curve, Machines, 10 (11) (2022) 985. https://doi.org/ 10.3390/machines10110985.

N. H. Thai, P. V. Thom, N. T. Trung - 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, Springer, 2021, pp. 204-214. https://doi.org/10.1007/978-3-030-91892-7_19.

N. H. Thai, N. T. Trung - A novel curve for the generation of the non-circular gear tooth profile, International Journal of Engineering 35 (5) (2022) 1024-1036. https://doi.org/ 10.5829/IJE.2022.35.05B.18.

N. H. Thai, P. V. Thom - Research on the Characteristics of Tooth Shape and Size of the Oval Gear Drive with an Involute Profile, In Regional Conference in Mechanical Manufacturing Engineering, Springer, 2022, pp. 167-184. https://doi.org/10.1007/978-981-19-1968-8_14.

Vanegas-Useche L. V., Abdel-Wahab, M. M., and Parker, G. A. - A new noncircular gear pair to reduce shaft accelerations: A comparison with sinusoidal and elliptical gears, Dyna 83 (198) (2016) 219-227. https://doi.org/10.15446/dyna.v83n198.49170.

Thai N. H., Long N. D. - A new design of the Lobe pump is based on the meshing principle of elliptical gear pairs, Science & Technology Development Journal-Engineering and Technology 4 (2) (2021) 861-871. https://doi.org/10.32508/stdjet.v4i2.769.

Litvin F. L., Alfonso Fuentes-Azna, Ignacio Gonzalez-Perez, Kenichi Hayasaka. - Noncircular Gears Design and Generation, Cambridge University Press, New Yord, 2009.

Faydor L. Litvin, Alfonso Fuentes - Gear Geometry and Applied Theory, Cambridge University Press, New Yord, 2004.