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The article considers a method for predicting the residual life of the ball mill support axle based on changes in the calculated stresses of the external surface of the axle. The main terms of forecasting the remaining life of large-sized equipment are considered. The task is set and controlled parameters are selected for the development of the methodology. An algorithm for implementing a method for predicting the residual life of the ball mill support axle based on external surface stresses is presented. A method has been developed for predicting the residual life of ball mill support axles based on changes in the design stresses of the external surface of the trunnion, which allows you to set parameters that affect the duration of the residual life without stopping the mill and to adequately calculate the residual life of the trunnion, including from the start of operation of the mill. The homogeneity of the obtained data is estimated. The parameters of the stress distribution of the external surface of the trunnion are determined, indicating that the obtained distribution corresponds to the theoretical Weibull distribution and the validity of using this method for predicting the resource of the ball mill support trunnion. The values of the guaranteed residual life of the ball mill trunnion are calculated according to the developed method. The analytical dependence of the residual life of the ball mill trunnion on the equivalent stresses occurring on the external surface of the trunnion is given.

In the article, the stresses and deformations of the ball mill support axes are studied numerically, taking into account the temperature field. Expressions are given that determine the values of the stress-strain state of the external surface of the ball mill trunnion, depending on the temperature of the internal and external surfaces. The analysis of the behavior of stresses and deformations when changing the temperature parameters of the trunnion is based on the numerical method. Constant values and parameters of the trunnion are set, and the temperature ranges of the external and internal surfaces of the loading and unloading trunnions are set. A numerical simulation of deformations and stresses is presented, described in the form of dependency graphs with varying parameters-the temperature of the internal and external surface of the trunnion within specified limits. The dependences of stresses and deformations of the external surface on temperature changes are analyzed. It is shown that as the temperature difference increases, the stresses in both the circumferential and axial directions increase, and the deformations in the circumferential and axial directions monotonously increase. The unloading axle is subject to a more complex stress-strain state under the influence of a temperature field, and the external surface of the axle has the highest values of stresses and deformations.