Substantiation of the course stability of wide-reach trailed machines in the horizontal plane
The stability of the course of wide-reach trailed tillage machines in the horizontal plane depends on the properties of the soil, the depth of processing and the design parameters of the machine itself. A second-order differential equation is compiled to substantiate the machine design parameters that ensure the fulfilment of agrotechnical requirements for the stability of the course in the horizontal plane. Its solution allows determining rational values of the trailer device length for various machine parameters (the grip width, the trailer device length, the machine gravity and its traction resistance), disturbing factors from the soil properties, the relief of the field surface and the unit speed. It is established that the primary influence on the value of the displacement of the centre of gravity of the resistance of the machine from the set position is exerted by the length of the trailer device and disturbing factors from the field relief and soil properties at different values of the machine's grip width. The dependence of the length of the trailer device L, m, on the width of the machine B, m is obtained in the form: L = (0,37 - 0,77) B. Moreover, smaller values of L correspond to small B values while observing the agrotechnical requirements for ensuring the stability of the machine's stroke in the depth of processing.