Multi-objective modeling and optimization of the thermal behavior of an AT10-type belt transmission using ANOVA, RMS and DF methods

Abstract

This research work focuses on the analysis of the impact of different parameters, such as the angular speed N1, the resistant torque M2 and the setting tension T of the timing belt on its operation. The main objective is to optimize the performance of the belt by understanding how these parameters influence its thermal behaviour. By carefully examining these factors, it becomes possible to identify the adjustments needed to improve the overall efficiency of the belt. An in-depth statistical analysis was conducted using three different approaches: analysis of variance (ANOVA), response surface method (RSM) and desirability function (DF) method, in order to examine the temperature of the heating of the belt T1 and its efficiency η. Data from the experiment are examined and manipulated to develop mathematical models that demonstrate the correlation between various parameters and growth rates. The results clearly demonstrate that the resistant couple M2 plays a preponderant role, with contributions of 55.25% and 69.82%, respectively. In addition, the N1 angular speed also has a significant influence, contributing 7.58% and 17.84%, respectively. On the other hand, setting tension T makes a small contribution to the temperature of belt T1. And a strong influence of 21.91% on their performance. These results clearly indicate that better efficiency can be obtained by reducing the angular speed N1 and increasing the resistive torque M2. These results show that the developed models have been well established and that there is a good correlation between the experimental and predicted data.