THE MATHEMATICAL MODEL OF HYDRAULIC SYSTEM OF BOOM MANIPULATOR

Abstract

Hydraulic forest machines and their components - complex dynamic systems operating under conditions of changing external influences due to the many and varied factors. These factors include: the parameters of the trees that are the subject of labor, weather conditions and other factors. In forestry machinery variability of external factors in the interaction of the working bodies of the trees to be handled determines the complexity of the motion of individual points. In this regard, the hydraulic studies should be considered as controlled dynamical systems, consisting of a number of interconnected subsystems (hydraulic characteristics, the parameters of the object of labor, quality, characterizing the operator, etc.). This raises the need to build a design scheme that best reflects the real conditions of operation of the hydraulic drive. The article presents the mathematical model of the hydraulic boom arm that allows to explore it’s dynamic properties in a functional mode. A mathematical model of the hydraulic drive is a system of algebraic and differential equations describing the hydraulic actuator as a collection of disparate elements, hydraulic, mechanical and electrical. In developing the mathematical model of the hydraulic drive is used a uniform method of mathematical description of the mechanisms by means of hydro-chains, which allows to visualize the interaction of hydraulic elements that safeguard against errors in the preparation of differential equations.