Profile Sliding Phenomenon in the External Non-Circular Gear-Train with Cycloidal Profile
Main Article Content
Abstract
During matching process of the non-circular gear pair with cycloidal profile (epicycloid – hypocycloid), the profiles of the driving and driven gears are mating following the gearing principle of the non-circular gear train. Those profiles are generated by each other, and they will be rolling and sliding when working, producing a relative sliding velocity at the contact point. It is one of the factors causing the irregular wear of the mating gear-profiles. The sliding coefficient has been used to access this phenomenon when designing gear-train. Therefore, it is vitally necessary to set up analytical formulas to analyze, evaluate profile sliding process, and it is the goal of this research. Moreover, the achieved results also show that the combination of the epicycloid and hypocycloid profiles has an advantage over the involute profiles, because the sliding curve of the firstly mentioned profiles stays consistently symmetrical, which means both mating profiles are equally worn, and no adjusting of the sliding coefficient is required.
Keywords
Non-circular gear, cycloidal gear profile, epicycloid, hypocycloid, sliding velocity
Article Details
References
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[2] Nguyễn Xuân Lạc, Nguyên lý máy chuyên nghiệp, Nhà xuất bản Đại học Bách Khoa Hà Nội, 1969.
[3] David H. Myszka, Machines and mechanisms: applied kinematic analysis, Prentice Hall (2012).
[4] Đinh Gia Tường, Trần Doãn Tiến, Nguyễn Xuân Lạc, Nguyên Lý Máy, Nhà xuất bản Đại học và Trung học chuyên nghiệp (1970).
[5] Jian Wang, Shanming Luo, Yue Wu, A Method for the Preliminary Geometric Design of Gear ToothProfiles With Small Sliding Coefficients, Journal of Mechanical Design, 132 (5) (2010), 054501 (1-8). http://doi.org/10.1115/1.4001410
[6] Lozica Ivanović, Danica Josifović, Specific Sliding of Trochoidal Gearing Profile in the Gerotor Pumps, FME Transactions, Vol 34. No 3 (2006) 121-127.
[7] Lozica Ivanović, Danica Josifović, A. ILIc, B. Stojanovic, Tribological aspect of the kinematical analysis at trochondal gearing in contact, Journal of the Balkan Tribological Association, Vol. 17, No 1, (2011) 37–47.
[8] Nguyen Hong Thai, Truong Cong Giang, The Influecen of the Desing parameters on the Profile sling in an interal hypocycloid ,Vietnam Journal of Science and Technology 56 (4) (2018) 482-491.
[9] Nguyen Hong Thai, Truong Cong Giang, The correction of the addenda of the internal gear in an oil hypocycloid pump to achieve equal wear rates, Journal of Science and Technology, No.133, (2019) 021-027.
[10] F.L. Litvin, Jan Lu, New Methods for Improved Double Circular-Arc Helical Gears, Report Army Research Laboratory, NASA (1997).
[11] Nguyễn Hồng Thái, Nguyễn Thành Trung, Lưu Xuân Nghĩa, Nguyễn Thùy Dương, Tổng hợp bộ truyền bánh răng không tròn ăn khớp ngoài biên dạng xyclôít, Tạp chí Khoa học và Công nghệ các trường Đại học kỹ thuật, số 145, (2020) 33-39.