Development of a comprehensive mathematical model of the dependence of the performance of front loader attachments on technical condition of hydraulic drive elements

Abstract

Abstract The article presents a comprehensive mathematical model that describes the dependence of the performance of front loader attachments on technical condition of hydraulic drive elements. The mathematical model is implemented as an algorithm for performing calculations of a hydraulic system conditionally consisting of two elements. The main criterion for ensuring high performance is the prime cost of work performed by a front loader to move loads, such as loading loose hay or bales, wood chips, silage, etc. According to the developed method, calculations were performed to implement a deterministic model in the Mathcad system and the acceptable level of performance was determined at lowest prime cost of work performed. Additionally, simulation of the dependence of the prime cost on the nominal level of performance was carried out. The developed comprehensive mathematical model allows us to determine the optimal frequency of replacement or restoration of the first and the second elements of a hydraulic drive according to the criterion of ensuring minimum costs, and, as a consequence, minimizing the prime cost.