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Theoretical-Experimental Determination of CVT Power Losses Due to Rubber V-belt Vibrations

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Advances in Technical Diagnostics II (ICTD 2022)

Part of the book series: Applied Condition Monitoring ((ACM,volume 21))

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Abstract

The article proposes a solution of determining power losses caused only by rubber V-belt vibrations in continuously variable transmission (CVT). The analysis was performed on the basis of a mathematical model and experimental data. The article includes the results of experimental tests of vibrations of a transmission belt driven by a two-stroke engine. A contactless measurement was performed by a high-speed camera and a time-lapse image analysis was performed in dedicated software. This new approach in the discussed research area allows obtaining results impossible to receive with other measurement methods. The mathematical model applied is an axially moving, with constant velocity, Euler-Bernoulli beam, the nonlinear effects and longitudinal vibrations are ignored. It was assumed that the material of the belt obeyed the Voigt-Kelvin rheological model. The method of determining the coefficients describing the damping properties of the belt is also discussed. The equivalent bending damping coefficient was determined based on the analysis of the damped free vibrations of the cantilever beam, made of the belt segment. The CVT power losses for fixed working conditions were obtained after numerical calculations with the use of procedures of the IMSL® C package.

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References

  1. Pfiffner, R., Guzzela, L., Onder, C.H.: Fuel – optimal control of CVT powertrains. Control. Eng. Pract. 11, 329–336 (2003)

    Article  Google Scholar 

  2. Grzegożek, W., Szczepka, M., Kot, A.: the analysis of applying CVT gear ratio rate control for scooter efficiency improvement. Asian J. Appl. Sci. Eng. 6(2), 73–80 (2017)

    Google Scholar 

  3. Bhowmick, G., Sahoo, T., Bhat, A., Mathur, G., Gambhir, D.: Approach for CO2 reductioning India’s automotive sector. SAE International 28-2388 (2019)

    Google Scholar 

  4. Grzegożek, W., Kot, A., Szczypiński-Sala, W.: The analysis of an influence of rubber V-belt physical properties on CVT efficiency. IOP Conf. Ser. Mater. Sci. Eng. 421(2), 1–10 (2018)

    Google Scholar 

  5. Cammalleri, M.: A new approach to the design of speed-torque-controlled rubber V-belt Variator. Proc ImechE. 219, 1413–1427 (2005)

    Article  Google Scholar 

  6. Julió, G., Plante, J.S.: An experimentally – validated model of rubber-belt CVT mechanic. Mech. Mach. Theory. 46, 1037–1053 (2011)

    Article  MATH  Google Scholar 

  7. Gerbert, G.B.: Belt slip-a unified approach. J Mech Des. 118, 432–438 (1996)

    Article  Google Scholar 

  8. Andrianov, I.V., Horrsen, W.T.: On the transversal vibrations of a conveyor belt: applicability of simplified models. J. Sound Vib. 31, 822–829 (2008)

    Article  Google Scholar 

  9. Ferguson, N., Lin, H., Chen, E.: Experimental investigation of the transverse nonlinear vibration of an axially travelling belt. J. Vibroeng. 18(8), 4885–4900 (2016)

    Article  Google Scholar 

  10. Zhang, R., Si, X., Yang, W., Wang, N.: Analysis of resonance reliability for synchronous belt transmission with transverse vibration. J. Vibroeng. 16(2), 891–900 (2014)

    Google Scholar 

  11. Ding, H., Lim, C.W., Chen, L.Q.: Nonlinear vibration of a traveling belt with non-homogeneous boundaries. J. Sound Vib. 424, 78–93 (2018)

    Article  Google Scholar 

  12. Kim, M., Chung, J.: Dynamic analysis of a pulley-belt system with different pulley radii and support stiffness. J. Mech. Sci. Technol. 32(12), 5597–5613 (2018). https://doi.org/10.1007/s12206-018-1106-8

    Article  Google Scholar 

  13. Schnürer, D., Holl, H.J.: Transversal vibrations of a toothed belt in linear drives during operation. Proc. Appl. Math. Mech. (2021). https://doi.org/10.1002/pamm.202000026

  14. Moon, J., Wickert, J.A.: Non-linear vibration of power transmission belts. J. Sound Vib. 200(4), 419–431 (1997)

    Article  Google Scholar 

  15. Łatas, W.: Active vibration suppression of axially moving string via distributed force. Vib. Phys. Syst. 31, Article ID: 20202 (2020)

    Google Scholar 

  16. Lad, P., Kartik, V.: Stability transitions of an axially moving string subjected to a distributed follower force. P. Roy. Soc. A. 474, Article ID: 20170779 (2018)

    Google Scholar 

  17. Pellicano, F., Vestroni, F.: Nonlinear dynamics and bifurcations of an axially moving. Beam. J. Vib. Acoust. 122, 21–30 (2000)

    Article  Google Scholar 

  18. Karli, D., Caji, M., Paunovi, S., Adhikari, S.: Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment. Int. J. Mech. Sci. 195, Article ID: 106230 (2021)

    Google Scholar 

  19. Pham, P.-T., Hong, K.-S.: Dynamic models of axially moving systems: a review. Nonlinear Dyn. 100(1), 315–349 (2020). https://doi.org/10.1007/s11071-020-05491-z

    Article  Google Scholar 

  20. Zhu, H., Zhu, W.D., Fan, W.: Dynamic modeling, simulation and experiment of power transmission belt drives: a systematic review. J. Sound Vib. 491, Article ID: 115759 (2021)

    Google Scholar 

  21. Bertini, L., Carmignani, L., Frendo, F.: Analytical model for the power losses in rubber V-belt continuously variable transmission (CVT). Mech. Mach. Theory. 78, 289–306 (2014)

    Article  Google Scholar 

  22. Chen, T.F., Sung, C.K.: Design considerations for improving transmission efficiency of rubber V-belt CVT. Int. J. Veh. Design 37(4), 320–333 (2000)

    Article  Google Scholar 

  23. Łatas, W., Kot, A.: Experimental and theoretical investigation of CVT rubber belt vibrations. Open Eng. 11, 1–11 (2021)

    Google Scholar 

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Correspondence to Adam Kot .

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Łatas, W., Kot, A. (2023). Theoretical-Experimental Determination of CVT Power Losses Due to Rubber V-belt Vibrations. In: Puchalski, A., Łazarz, B.E., Chaari, F., Komorska, I., Zimroz, R. (eds) Advances in Technical Diagnostics II. ICTD 2022. Applied Condition Monitoring, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-031-31719-4_4

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  • DOI: https://doi.org/10.1007/978-3-031-31719-4_4

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  • Online ISBN: 978-3-031-31719-4

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