Mathematical modelling of oscillations of a machine for cutting tops of root crops

High-quality cutting of root crop tops at the ensures both a high yield and determines condition crops before they are extracted from soil. Therefore, search for conditions that will ensure this is an important urgent problem production these crops. The purpose research was to determine, through analytical study, optimal parameters new design machine harvesting tops, which mounted in front aggregating tractor performs oscillatory movements longitudinal-vertical plane. Methods related modelling complex dynamic systems consisting front-mounted machine, development solution final form differential equations motion computer process were used. According developed equivalent scheme, equation angular vibrations solved form. In addition, numerical performed on PC, allowed constructing graphical dependencies machine’s turning angle φ different speeds V its forward movement values c stiffness coefficient μ damping pneumatic tyres copying wheels, unevenness soil surface main machine. It established with increase 1.5 m·s-1 2.5 m·s-1, amplitude oscillations increased 0.88° 1.18°. However, duration transient 0.22 s, speed figure already 0.14 i.e., decrease 36%. positive steering reaches 1.2°, negative does not exceed 0.3°, oscillation range insignificant. considered V, preference should be assigned higher value. structural kinematic system examined determined using simulation. presented method mathematical can used any machines hitched tractors