Shaping Tooth Profile of Common Non-Circular Gears Using Rack and Novikov Tooth Profile
Main Article Content
Abstract
Non-circular gear units have been used in variable transmissions such as car wipers, CVT speed variants or steering mechanism in new car generations, etc. Until now, most scientists are only focused on non-circular gears with involute profile of a circle or a hyperbola when researching these gears. The Novikov-type profiles have not been mentioned. In this work, the authors use the Novikov gears and racks to generate the tooth profile of non-circular gears. To solve this problem for each pair of gears in a gear train, the tooth profile of the driving gear is formed by finding the envelope of a Novikov rack, while the tooth profile of the drive gear is formed using gear shaping method (with the driving gear used as the cutter) to ensure meshing ratio and to prevent undercutting. Based on that, the study provides a general procedure for the synthesis of Novikov non-circular gears.
Keywords
Novikov gears, noncircle gears, simple gear train system, profile design
Article Details
References
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[2] Faydor L. Litvin, Alfonso Fuentes, Ignacio GonzalezPerez, Luca Carnevali, Thomas M. Sep; New version of Novikov–Wildhaber helical gears: computerized design, simulation of meshing and stress analysis. Computer Methods in Applied Mechanics and Engineering. 191 (2002) 5707–5740.
[3] Faydor L. Litvin, Alfonso Fuentes; Gear Geometry and Applied Theory; Cambridge University Press (2004).
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[5] Houjun Chen, Xiaoping Zhang, Xiong Cai, Zhilan Ju, Chang Qu, Donghe Shi; Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears; Mechanism and Machine Theory 96 (2016) 127–145.
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[9] Nguyễn Thành Trung, Nguyễn Hồng Thái, Đàm Công Trường; Ứng dụng biên dạng Novikov trong thiết kế hệ bánh răng không tròn; Hội nghị Cơ học kỹ thuật toàn quốc Kỷ nệm 40 năm thành lập Viện Cơ học, Hà Nội 2019.
[10] Libardo V. Vanegas-Useche, Magd M. AbdelWahab, Graham A. Parker; A New Noncircular Gear Pair to Reduce Shaft Accelerations: A Comparison with Sinusoidal and Elliptical Gears. Dyna, 83(198) (2016), 220-228.
[11] Đinh Gia Tường, Nguyễn Xuân Lạc, Trần Doãn Tiến; Nguyên Lý Máy; Nhà xuất bản Đại học và Trung học chuyên nghiệp (1970).
[2] Faydor L. Litvin, Alfonso Fuentes, Ignacio GonzalezPerez, Luca Carnevali, Thomas M. Sep; New version of Novikov–Wildhaber helical gears: computerized design, simulation of meshing and stress analysis. Computer Methods in Applied Mechanics and Engineering. 191 (2002) 5707–5740.
[3] Faydor L. Litvin, Alfonso Fuentes; Gear Geometry and Applied Theory; Cambridge University Press (2004).
[4] K. Syzrantseva, V. Syzrantsev; Estimation of Novikov Gearing Loading Capacity Based om Integral Strain Gauges Application; Procedia Engineering 206 (2017)1081–1086.
[5] Houjun Chen, Xiaoping Zhang, Xiong Cai, Zhilan Ju, Chang Qu, Donghe Shi; Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears; Mechanism and Machine Theory 96 (2016) 127–145.
[6] Faydor L. Litvin, Alfonso Fuentes Aznar, Ignacio Gonzalez Perez, Kenichi Hayasaka; Noncircular Gears Design and Generation; Published in the United States of America by Cambridge University Press (2009).
[7] David B. Dooner; Kinematic geometry of gearing, Wiley, (2012).
[8] F.L. Litvin, Jan Lu; New Methods for Improved Double Circular-Arc Helical Gears; Report Army Research Laboratory, NASA (1997).
[9] Nguyễn Thành Trung, Nguyễn Hồng Thái, Đàm Công Trường; Ứng dụng biên dạng Novikov trong thiết kế hệ bánh răng không tròn; Hội nghị Cơ học kỹ thuật toàn quốc Kỷ nệm 40 năm thành lập Viện Cơ học, Hà Nội 2019.
[10] Libardo V. Vanegas-Useche, Magd M. AbdelWahab, Graham A. Parker; A New Noncircular Gear Pair to Reduce Shaft Accelerations: A Comparison with Sinusoidal and Elliptical Gears. Dyna, 83(198) (2016), 220-228.
[11] Đinh Gia Tường, Nguyễn Xuân Lạc, Trần Doãn Tiến; Nguyên Lý Máy; Nhà xuất bản Đại học và Trung học chuyên nghiệp (1970).