Analytical Method of Determining the Trajectory of Curvilinear Motion of Four-Wheel Machines wi th Front Wheel Drive

Abstract

It is well known that the curvilinear motion of the machine and tractor unit (MTU) is significantly different from its rectilinear motion. Typically, kinematic and dynamic work environment in the curvilinear motion is much more complicated. It requires additional study of many factors that affect the handling, stability and reliability of the machine. Despite the complexity of the process, the research of conditions of the curvilinear motion of machine and tractor units is actual and has a practical importance. It is important to know exactly how far during certain operations need to be overcome tractor before forecasting future costs of fuel and oil. It is known that turns and reversals amount about 10 - 40% of the trajectory of the MTU. There are diagrams of unit’s turns in different parts of the field and some attempts to construct the trajectory of curvilinear motion by different methods in the academic literature. The authors of this article determine analytically the trajectory of turning the tractor with front drive wheels. A scientific research of the conditions of curvilinear motion of machine and tractor units is of practical importance. A curvilinear motion of MTU is significantly different from its rectilinear motion. Typically, kinematic and dynamic work environment are much more complex. It requires the study of many additional factors that affect the handling, stability and reliability of the machine. This article attempts to describe the curvilinear trajectory of a four-wheeled tractor using parametric equations in Cartesian coordinates. This study is very important for Ag Engineering service companies as it allows to plan area of cultivation in advance, to plant areas which will be turning and topping band. It will enable to calculate the necessary amount of fuel and time. The research of conditions curvilinear motion machine and tractor units has a practical importance. The curvilinear motion machine and tractor unit is significantly different from its rectilinear motion. Typically, the kinematic and dynamic work environments are much more complex, requiring additional study of many factors that affect the handling, stability and reliability of the machine.