Abstract
Bevel gear processing has diversified based on constant technical developments in forging, CNC cutting and hob design. Standardization of bevel gears is in higher demand than ever for different bevel gear systems that have different shapes and forms according to processing methods. With advantages such as excellent compatibility and the ability to absorb assembly errors well, the involute gear is referred to as the spherical involute tooth profile in bevel gear systems. This paper explains the geometrical characteristics and kinematic behavior of spherical involute gears. A spherical involute function is derived to effectively represent tooth profiles, and a common basic rack is developed using the equation of meshing to generate spherical involute gears. This study also analyzes the general characteristics of spherical involute gears and discusses the issue of bevel-gear standardization.
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References
Y. C. Tsai and P. C. Chin, Surface Geometry of Straight and Spiral Bevel Gears, Transactions of the ASME, Journal of Mechanisms, Transmissions, and Automation in Design, 109 (1987) 443–449.
W. D. Mark, The Generalized Transmission Error of Spiral Bevel Gear, Journal of Mechanics, Transmissions, and Automation in Design, 109 (1987) 275–282.
M. J. Al-Daccak, J. Angels and M. A. Gonzles-Palacios, The Modeling of Bevel Gears Using the Exact Spherical Involute, Transactions of the ASME, Journal of Mechanical Design, 116 (1994), 364–368.
F. L. Litvin and A. Fuentes, Gear Geometry and Applied Theory, Second Edition, Cambridge University Press (2004) 98–99.
J. R. Colbourne, The Geometry of Involute Gears, Springer-Verlag (1987) 137–138.
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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin
Noh Gill Park received his B.S in Mechanical Engineering from Seoul National University, Korea in 1977. He is received a PH.D degree at North Carolina State University, USA in 1987. Prof. Park is currently a Professor of School of Mechanical Engineering of Pusan National University, Korea. His research fields are design technology of wind turbine gear train, involute hypoid gearing and CVT-joint development.
Hyoung Woo Lee received his B.S, M.S, and Ph.D in Mechanical Engineering from Pusan National University, Korea in 1991, 1994 and 1999, respectively. Prof. Lee is currently a Professor of Education Center for Green Industry-friendly Fusion Technology of Pusan National University, Korea. His research fields are design technology of wind turbine gear train, automotive transmission and special gear mechanism.
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Park, N.G., Lee, H.W. The spherical involute bevel gear: its geometry, kinematic behavior and standardization. J Mech Sci Technol 25, 1023–1034 (2011). https://doi.org/10.1007/s12206-011-0145-1
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DOI: https://doi.org/10.1007/s12206-011-0145-1