Influence of the Fixed Angle of the Non-circular gears on the Intermediate Shaft on the Gear Ratio Function Characteristics
Main Article Content
Abstract
This paper shows the influence of the fixed angle of non-circular gears (NCGs) on the gear ratio function characteristics of the compound non-circular gear (CNCG) train. The research established a mathematical model describing the centrodes of a typical CNCG train. The fixed angle β of non-circular gears on the intermediate shaft is changed to evaluate its effect on the gear ratio of the CNCG train. The results show that changing the fixed angle of non-circular gears on the intermediate shaft changes the transfer function law of the system and can increase the speed variation range on the output shaft. With the parameters of the designed CNCG train, changing the angle β can increase the amplitude of the gear ratio function to 30.19%. A CNCG train with a speed variation range from 1.37 to 5.11 has been experimentally designed and manufactured with an improved cycloid profile considering the tooth number distribution and satisfying the condition of avoiding undercutting. On that basis, an experimental system to determine the gear ratio of the CNCG train based on the meshing between the gear pairs in the CNCG train has been designed and manufactured. The experimental results showed that the maximum error of the gear ratio function is about 7.63% compared with theoretical ones. In this study, we have not considered the influence of force and torque on the experimental gear ratio. We can apply the results of this research to transmission systems to obtain a speed variation.
Keywords
Compound non-circular gear train, gear ratio function, improved cycloid profile, rack cutter, undercutting
Article Details
References
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[3] Xiong Zhao, Hongwei Liao, Xingxiao Ma, Li Dai, Gaohong Yu, Jianneng Chen, Design and experiment of double planet carrier planetary gear flower transplanting mechanism, Int J Agric & Biol Eng, vol. 14, no. 2, pp. 55–61, 2021. https://doi.org/10.25165/j.ijabe.20211402.5878
[4] T. D. Tinh, T. N. Tien, N. H. Thai, Building a mathematical equation for describing volume changes in suction and pumping chambers of an improved type of the roots blower, J. Sci. Technol. Tech. Univ., vol. 141, pp. 022-027, 2020.
[5] N. H. Thai, N. D. Long, A new design of the Lobe pump is based on the meshing principle of elliptical gear pairs, Science & Technology Development Journal–Engineering and Technology, vol. 4, no. 2, pp. 861-871, 2021. https://doi.org/10.32508/stdjet.v4i2.769
[6] Prikhodko, Alexander, Dynamic analysis of intermittent-motion conveyor actuator, Actuators, MDPI, vol. 10, no. 8, 2021. https://doi.org/10.3390/act10080174
[7] 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, Cham, 2021, pp. 204-214, 2022. https://doi.org/10.1007/978-3-030-91892-7_19
[8] 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, Singapore, 2022, pp. 167-184. https://doi.org/10.1007/978-981-19-1968-8_14
[9] Maile Zhou, Yuchao Yang, Mingxu Wei, Daqing Yin, Method for generating non-circular gear with addendum modification and its application in transplanting mechanism, International Journal of Agricultural and Biological Engineering, vol. 13, no.6, pp. 68-75, 2020. https://doi.org/10.25165/j.ijabe.20201306.5659
[10] Viet, N. H., N. H. Thai, Geometric design and kinematics analysis of non-circular planetary gear train with cycloid profile, Journal of Science and Technology Tech. Univ., vol. 31, no. 3, pp. 105-112, 2021. https://doi.org/10.51316/jst.151.etsd.2021.31.3.18
[11] N. H. Thai, N. T. Duong, N. H. Viet, Shaping Tooth Profile of Common Non-Circular Gears Using Rack and Novikov Tooth Profile, J. Sci. Technol. Tech. Univ., vol. 140, pp. 011-017, 2020.
[12] N. H. Thai, Shaping the tooth profile of elliptical gear with the involute ellipse curve. Science & Technology Development Journal–Engineering and Technology, vol. 4, no. 3, pp. 1048-1056, 2021. https://doi.org/10.32508/stdjet.v4i3.820
[13] N. H. Thai, P. V. Thom, N. T. Trung, Experimental Design and Manufacture a Pair of the Internal Non-circular Gears with an Improved Cycloid Profile, In Regional Conference in Mechanical Manufacturing Engineering, Springer, Singapore, 2022, pp. 118-134. https://doi.org/10.1007/978-981-19-1968-8_11
[14] Fangyan Zheng, Lin Hua, Xinghui Han, Boli, Dingfan Chen, Synthesis of shaped noncircular gear using a three-linkage computer numberial control shaping machine, Journal of Manufacturing Science and Engineering, vol. 139, no. 7, pp. 1–12, 2017. https://doi.org/10.1115/1.4035794
[15] Litvin, F. L., Gonzalez-Perez, I., Yukishima, K., Fuentes, A., & Hayasaka, K., Generation of planar and helical elliptical gears by application of rack-cutter, hob, and shaper, Computer methods in applied mechanics and engineering, vol. 196, no. 41-44, pp. 4321-4336, 2007. https://doi.org/10.1016/j.cma.2007.05.003