MATHEMATICAL MODEL OF A HYDRAULIC MOTOR OF A STONE-WORKING LATHE

Abstract

This article is devoted to the mathematical description of hydraulic inspection based on the justification of taking into account the moment of inertia of rotating masses brought to the axis of rotation of the hydraulic motor shaft, internal fluid leaks in the hydraulic motor, the moment from the forces of viscous friction and neglect of factors present in its operation under dynamic conditions such as compressibility of the working fluid in hydraulic cylinders, changes in the viscosity of the working fluid, the pressure of the drain line. Taking into account these indicators, on the basis of the principle of D.Alembert, differential equations describing dynamic boundaries in a hydraulic motor are compiled – the equation of moments, the equation of the continuity of the working fluid flow. As a result of solving these equations, a graph of the transient hydrometric process is constructed, which shows that the transient process proceeds exponentially and after the expiration of the Tmex time, the angular velocity reaches a value of 0,63.