Análisis del deslizamiento y de la frecuencia natural de las bandas trapezoidales en función del pretensado con diferentes longitudes del tramo libre

Abstract

The objective of this study was to analyze the slip and the natural frequency of the trapezoidal belts as a function of the prestress with different lengths of the free section through the design and implementation of a test module. For the analysis of the slip and the natural frequency of the coupled belts in each transmission; the prestress equation was determined by a static analysis of the system. The forces that were applied for the pretension were selected, the slip equation was developed by means of uniform circular motion and was represented with real measurements of the rotational frequency of the driving and driven pulley taken by the digital tachometer. The natural frequency was determined using Vibracheck 200 ABG equipment and Maintraq Viewer program, the working power of the electric motor was calculated, and measurements were taken. The slip variations and the natural frequencies of each coupled trapezoidal belt in each transmission were obtained based on different pretensions. An empirical equation was established that allows calculating the pretension of the belt depending on the slip and the natural frequency. It is concluded that the longer of the belt and the higher of the transmission ratio, the slip is high, but it decreases as the claim increases. The natural frequencies increase directly in proportion to the increase in prestress. It is recommended to the industrial sector that maintenance tasks should be planned and scheduled in the maintenance plans that determine the pretension of the trapezoidal belts based on the slip and the natural frequency.