Abstract
This study aims at finding an analytical model of ball continuously variable transmission (B-CVT) behavior and performance, based on the existing model of the half-toroidal traction drive. The geometrical and kinematical aspects of this model have been found. Then, force-moment equilibrium equations have been applied for a B-CVT. The contact behavior has been modeled using the isothermal elastohydrodynamic lubrication (EHL) theory, and spin and relative slip losses have been estimated for this CVT. Finally, the overall efficiencies of the B-CVT have been analyzed and compared with the halftoroidal traction drive. This study results have shown that B-CVT has higher torque efficiency and lower speed efficiency in comparison with half-toroidal CVT. Also, it has shown that the adjustment of axial forces in B-CVT leads to higher efficiency in lower input torques.
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Belfiore, N. and Stefani, G. D. (2003). Ball toroidal CVT: A feasibility study based on topology, kinematics, statics and lubrication. Int. J. Vehicle Design 32, 3–4, 304-331.
Bell, C. and Glovnea, R. (2011). Tribological optimization of a toroidal-type continuously variable transmission. Proc. Institution of Mechanical Engineers, Part J: J. Engineering Tribology 225, 6, 407–417.
Bemporad, A., Borodani, P. and Mannelli, M. (2003). Hybrid Control of an Automotive Robotized Gearbox for Reduction of Consumptions and Emissions. Hybrid Systems: Computation and Control. Springer-Verlag Berlin Heidelberg. Heidelberg, Germany.
Bottiglione, F., Carbone, G., De Novellis, L., Mangialardi, L. and Mantriota, G. (2013). Mechanical hybrid KERS based on toroidal traction drives: An example of smart tribological design to improve terrestrial vehicle performance. Advances in Tribology, 2013, 1–9.
Brewe, D. E. and Hamrock, B. J. (1976). Simplified solution for point contact deformation between two elastic solids. Lubrication Technology, 485–487.
Carbone, G., Mangialardi, L. and Mantriota, G. (2004). A comparison of the performances of full and half toroidal traction drives. Mechanism and Machine Theory 39, 9, 921–942.
Cretu, O. and Glovnea, R. (2003). Traction drive with reduced spin losses. J. Tribology 125, 3, 507–512.
De Novellis, L., Carbone, G. and Mangialardi, L. (2012). Traction and efficiency performance of the double roller full-toroidal variator: A comparison with half-and fulltoroidal drives. J. Mechanical Design 134, 7, 071005.
Delkhosh, M. and Foumani, M. S. (2013). Multi-objective geometrical optimization of full toroidal CVT. Int. J. Automotive Technology 14, 5, 707–715.
Dowson, D. (1998). Modelling of elastohydrodynamic lubrication of real solids by real lubricants. Meccanica 33, 1, 47–58.
Ghariblu, H., Behroozirad, A. and Madandar, A. (2014). Traction and efficiency performance of ball type CVTs. Int. J. Automotive Engineering 4, 2.
Gillespie, R. B., Moore, C. A., Peshkin, M. and Colgate, J. E. (2002). Kinematic creep in a continuously variable transmission: Traction drive mechanics for cobots. J. Mechanical Design 124, 4, 713–722.
Gu, H.-L., Ho, H.-C., Wu, M.-C., Tzeng, S.-C. and Lin, Y.-J. (2012). Speed Adjusting Mechanism for Roller Traction Toroidal Continuously Variable Transmission. Google Patents. US Patents. US8287424 B2.
Habchi, W., Vergne, P., Bair, S., Andersson, O., Eyheramendy, D. and Morales-Espejel, G. E. (2010). Influence of pressure and temperature dependence of thermal properties of a lubricant on the behaviour of circular TEHD contacts. Tribology International 43, 10, 1842–1850.
Hamrock, B. J., Schmid, S. R. and Jacobson, B. O. (2004). Fundamentals of Fluid Film Lubrication. CRC Press. New York, USA.
Li, Q., Wu, J., Li, H. and Yao, J. (2015). A Mathematical method for eliminating spin losses in Toroidal traction drives. Mathematical Problems in Engineering, 2015, 1–10.
Machida, H., Itoh, H., Imanishi, T. and Tanaka, H. (1995). Design principle of high power traction drive CVT. SAE Paper No. 950675.
Newall, J., Cowperthwaite, S., Hough, M. and Lee, A. P. (2005). Efficiency modelling in the full toroidal variator: Investigation into optimisation of EHL contact conditions to maximize contact efficiency. Tribology and Interface Engineering Series, 48, 245–255.
Osumi, T., Ueda, K., Nobumoto, H., Sakaki, M. and Fukuma, T. (2002). Transient analysis of geared neutral type half-toroidal CVT. JSAE Review 23, 1, 49–53.
Park, N., Ryu, J., Lee, H., Jeon, Y. and Zhang, N. (2009). Development of the inner spherical CVT for a motorcycle. Int. J. Automotive Technology 10, 3, 341–346.
Ryu, W. and Kim, H. (2008). CVT ratio control with consideration of CVT system loss. Int. J. Automotive Technology 9, 4, 459–465.
Sharif, K., Evans, H., Snidle, R. and Newall, J. (2003). Modelling of film thickness and traction in a variable ratio traction drive rig. Proc. ASME Int. Design Engineering Technical Conf. and Computers and Information in Engineering Conf., Chicago, Illinois, USA.
SKF Group Technical Documentation (1983). RIV-SKF industrie s.p.a., Quaderni di formazione, i cuscinetti volventi, Technical Report, San Torino, Italy.
Supriyo, B., Tawi, K. and Jamaluddin, H. (2013). Experimental study of an electro-mechanical CVT ratio controller. Int. J. Automotive Technology 14, 2, 313–323.
Szeri, A. Z. (2010). Fluid Film Lubrication. Cambridge University Press. New York, USA.
Tanaka, H., Toyoda, N., Machida, H. and Imanishi, T. (2004). Development of a 6 power-roller half-toroidal CVT-mechanism and efficiency. Int. Continuously Variable and Hybrid Transmission Cong., UC Davis.
Ullman, D. (1989). Optimal design of traction drive continuously variable transmissions. J. Mechanical Design 111, 2, 264–269.
Verbelen, F., Derammelaere, S., Sergeant, P. and Stockman, K. (2017). Half toroidal continuously variable transmission: Trade-off between dynamics of ratio variation and efficiency. Mechanism and Machine Theory, 107, 183–196.
Yamamoto, T., Matsuda, K. and Hibi, T. (2001). Analysis of the efficiency of a half-toroidal CVT. JSAE Review 22, 4, 565–570.
Zhang, Y., Zhang, X. and Tobler, W. (2000). A systematic model for the analysis of contact, side slip and traction of toroidal drives. J. Mechanical Design 122, 4, 523–528.
Zou, Z., Zhang, Y., Zhang, X. and Tobler, W. (2001). Modeling and simulation of traction drive dynamics and control. J. Mechanical Design 123, 4, 556–561.
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Afrabandpey, A., Ghariblu, H. Performance Evaluation of Ball CVT and Comparison with Half Toroidal CVT. Int.J Automot. Technol. 19, 547–557 (2018). https://doi.org/10.1007/s12239-018-0052-x
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DOI: https://doi.org/10.1007/s12239-018-0052-x