Empirical Estimation of the Prestressed of a V-Belt Through the Slip of the Pulleys
Main Article Content
Abstract
Inspecting the pre-tension of belts is an essential preventive maintenance activity, which requires that the machine is powered off to be carried out. This generates an economic impact of lesser or greater degree depending on the operational context of each machine. The objective of this experimental investigation is to determine a mathematical model, for calculating the pre-tension of v-belts of classic profile and high performance as a function of the slip. To achieve this objective, a test module was built to establish the difference between the theoretical and real rotation frequencies of the driven pulley, as the pre-tension of the belt was increased. Then, an inverse exponential function was adjusted to the data obtained, resulting in two equations for v-belts of classic profile and of high throughput, respectively; these equations were validated using Pearson's r correlation coefficient. The proposed mathematical model can be used to minimize the economic impact of checking the pre-tension of the belts, since it allows carrying out this activity with the machine operating on full load, requiring only the measurement of the rotation frequencies of the pulleys.
Keywords
banda trapezoidal, deslizamiento, polea, pretensión de bandas v-belt, slip, pulley, prestressed of the belt
References
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[2] A. J. Nieto Quijorna, Elementos de máquinas. Área de Ingeniería Mecánica, Universidad de Castilla-La Mancha, España, 2007. [Online]. Available: https://goo.gl/4wkZpd
[3] Budynas, R. G, N. J. Keith, and J. E. Shigley, Mechanical Engineering Design. McGraw-Hill Education, New York, USA, 2015. [Online]. Available: https://goo.gl/1TivVq
[4] R. L. Mott, Diseño de elementos de máquinas. Pearson Education„ 2006. [Online]. Available: https://goo.gl/buKXz3
[5] R. C. Juvinall, Diseño de elementos de máquinas. Limusa Wiley, 2013. [Online]. Available: https://goo.gl/xtrD3K
[6] V. B. Bhandari, Design of Machine Elements. McGraw-Hill Education, India, 2016.
[7] A. D. Almeida and S. Greenberg, “Technology assessment: energy-efficient belt transmissions,” Energy and Buildings, vol. 22, no. 3, pp. 245–253, 1995. [Online]. Available: https://doi.org/10.1016/0378-7788(95)00926-O
[8] C. A. Silva, M.-A. Andrianoely, L. Manin, S. Ayasamy, C. Santini, E. Besnier, and D. Remond, “Optimization of power losses in poly-v belt transmissions via genetic algorithm and dynamic programming,” Mechanism and Machine Theory, vol. 128, pp. 169–190, 2018. [Online]. Available: https://doi.org/10.1016/j.mechmachtheory.2018.05.016
[9] O. Reynolds, “On the efficiency of belts or straps as communicators of work,” Journal of the Franklin Institute, vol. 99, no. 2, pp. 142–145, 1875. [Online]. Available: https://doi.org/10.1016/0016-0032(75)90662-6
[10] G. Gerbert, “A note on slip in v-belt drives,” Journal of Engineering for Industry, vol. 98, no. 4, pp. 1366–1368, 1976. [Online]. Available: https://doi.org/10.1115/1.3439115
[11] ——, “Paper xii (i) on flat belt slip,” in Vehicle Tribology, ser. Tribology Series, D. Dowson, C. Taylor, and M. Godet, Eds. Elsevier, 1991, vol. 18, pp. 333–340. [Online]. Available: https://doi.org/10.1016/S0167-8922(08)70149-4
[12] ——, “Belt slip-a unified approach,” Journal of Mechanical Design, vol. 118, no. 3, pp. 432–438, 1996. [Online]. Available: https://doi.org/10.1115/1.2826904
[13] H. Belofsky, “On the theory of power transmission by v-belts,” Wear, vol. 39, no. 2, pp. 263–275, 1976. [Online]. Available: https://doi.org/10.1016/0043-1648(76)90054-5
[14] T. H. C. Childs and D. Cowburn, “Power transmission losses in v-belt drives part 2: Effects of small pulley radii,” Proceedings of the Institution of Mechanical Engineers, Part D: Transport Engineering, vol. 201, no. 1, pp. 41–53, 1987. [Online]. Available: https://doi.org/10.1243/PIME_PROC_1987_201_156_02
[15] W.-H. Chen and C.-J. Shieh, “On angular speed loss analysis of flat belt transmission system by finite element method,” International Journal of Computational Engineering Science, vol. 04, no. 01, pp. 1–18, 2003. [Online]. Available: https://doi.org/10.1142/S1465876303000752
[16] B. Balta, F. O. Sonmez, and A. Cengiz, “Speed losses in v-ribbed belt drives,” Mechanism and Machine Theory, vol. 86, pp. 1–14, 2015. [Online]. Available: https://doi.org/10.1016/j.mechmachtheory.2014.11.016
[17] G. Cepon, L. Manin, and M. Boltežar, “Experimental identification of the contact parameters between a v-ribbed belt and a pulley,” Mechanism and Machine Theory, vol. 45, no. 10, pp. 1424–1433, 2010. [Online]. Available: https://doi.org/10.1016/j.mechmachtheory.2010.05.006
[18] L. Bertini, L. Carmignani, and F. Frendo, “Analytical model for the power losses in rubber v-belt continuously variable transmission (cvt),” Mechanism and Machine Theory, vol. 78, pp. 289–306, 2014. [Online]. Available: https://doi.org/10.1016/j.mechmachtheory.2014.03.016
[19] Optibelt, “Manual técnico para transmisiones por correas trapeciales,” Optibelt Power Transmission, Tech. Rep., 2008.
[20] Gates, “Mantenimiento preventivo de correas y transmisiones,” Gates Corporation, Tech. Rep., 2009.
[21] E. Hernández, B. Angulo, P. Fiallos, and V. Chávez, “Método para el cálculo del costo de la indisponibilidad en procesos productivos,” Perfiles,, vol. 1, pp. 90–98, 2017.
[22] M. F. Triola, Estadística. Pearson Education, 2013. [Online]. Available: https://goo.gl/Zfkisc
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Published
Dec 29, 2018
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Section
Scientific Paper