Theoretical limmits of the angular stabiltity range of the tractor moving over inclined terrain

Abstract

In the paper is presented an analytical model, formulated for 3D simulation of the tractor's dynamic stability on inclined terrains. Assuming the constant velocity and curvilinear trajectory of constant radius, it accounts for the gravity force, but also include in analysis the inertial force appeared because of curvilinear motion of the tractor. An appropriate computer code has been developed on the base of formulated algorithm, and applied to estimate the stability ranges of three tractors: Fendt Farmer 312, Fendt 926 and John Deer 6400. Tractors were tested for operational velocities in the range between 0 and 50 km/h, and for turning radiuses of 15 m and 60 m. The model represents a suitable tool for prelimminary estimations and comparisons of stability areals of the tractors operating at horizontal and especially at sloped terrains at different velocities.