Estudio de la variación de la vida útil de las bandas trapezoidales en función de su pretensado y el diámetro de la polea

Abstract

This research aimed to study the valuable life of type A trapezoidal belts depending on their pretension and the diameter of the pulley. This was obtained with the analysis of three different transmission ratios, the first 2:1. The second 1.5:1, and the third 1:1. In addition, five bands were used for each of the three transmission ratios, giving a total of 75 bands. For each transmission ratio, various data were taken, such as temperature, the start and end time at which the bands break, and the five different tensions. For data analysis, descriptive statistics of the measurements were used. Previously, with the data already obtained and tabulated, an adjustment of the data was made by linearizing the parameters of x and y and then continuing with a Weibull distribution using the method of the least squares to find eta and beta with which it is possible to observe how the scale and shape parameters behave respectively. Finally, the hypothesis was demonstrated, and the analysis of the results was done. With the results acquired from the analysis, it is concluded that the absolute value of the Pearson r coefficient of the different bands and prestresses is more significant than 0.959. Therefore, the null hypothesis was rejected, and the alternative hypothesis was accepted. They concluded that there is sufficient evidence to assert that the scale parameter of the Weibull distribution is inversely proportional to the band size. With these results, it is recommended to continue investigating belts but with other types, whether flat, round, serrated, etc. To know the behavior of eta and beta in each of them.