Theory of the movement of the cut sugar beet cut on the internal surfase of the loading mechanism of the cut harvesting machine

Abstract

Goal. Justification of the rational design pa­rameters and operating modes of the developed new design of the loading mechanism of the sugar beet harvester by building a mathematical model of the movement of the cut sugar beet sugar beet on the inner surface of the discharge nozzle after it leaves the blade spreader. Methods. The research results presented in this work were obtained with the help of modeling methods, higher mathematics, theoretical mechanics, standard and developed computer programs for numerical calculations of the obtained mathematical models, and even methods of analysis of the obtained graphic dependencies between structural and kinematic parameters. Results. In order to substantiate the rational design parameters and operating modes of the new design of the loading mechanism of the sugar beet harvesting machine developed by us, a mathematical model of the movement of the cut sugar beet sugar beet on the inner surface of the discharge nozzle after its exit from the blade spreader was built. The movement of the gimbal is considered first along the cylindrical section of the casing and further along its rectilinear section. The obtained differential equations describe the movement of a particle of sugar beet at an arbitrary moment in time, taking into account the main structural, kinematic and force parameters that affect the process of loading sugar beet sugar into a vehicle moving alongside the sugar beet harvester. The solution of the obtained differential equations on a PC made it possible to justify the rational design and kinematic parameters of the loading mechanism of the picker machine. Conclusions. The differential equations of motion of a particle of cut sugar beet husk along the cylindrical and rectilinear section of the casing of the loading mechanism of the sugar beet harvester were compiled. As a result of solving the obtained differential equations of motion of the particle of the swoosh, the law of its movement along the inner surface of the casing and the law of speed change as a function of time, as well as design parameters of the casing and kinematic modes of the air flow, were determined. As a result of numerical calculations on the PC, graphs of the dependence of the arc coordinate S(t) and speed Ṡ(t) on time t were obtained during the movement of a particle M of cut sugar beet stalk along the cylindrical section of the casing of the loading mechanism after its descent from the scraper blade. It is established that speed increase Va ascent particles M hiccups from the end blades leads to growth arc coordinate S(t). Within the speed change Va from 4 ms–1 to 8 ms–1, the value of the arc coordinate S(t) increases by 1.54 times at time t = 0.06 s. It has also been established that an increase in the speed Va of the particle’s descent M from the end of the blade leads to an increase in the intensity of the decrease in speed Ṡ(t) over time, that is, the curve corresponding to a larger value Va has a greater slope to the horizon. Within the limits of the speed Va change from 4 m∙s–1 to 8 m∙s–1, the slope of the speed Ṡ(t) change curve increases approximately twice.