Theoretical study of kinematic parameters central inclined spreading working body of mineral fertilizers

Abstract

Goal. Increasing the spread range of mineral fertilizers across the machine’s gripper width by theoretically substantiating the structural and kinematic parameters of the centrifugal spreading working body, inclined at an angle to the horizon. Methods. When conducting theoretical research, the methods of mathematical modeling, theoretical mechanics, higher mathematics, in particular vector algebra, as well as methods of numerical calculations on a PC and construction of graphical dependencies were applied. Results. For the proposed new design of the centrifugal spreading working body, the disc of which is inclined at some angle to the horizontal plane, a mathematical model of the process of the fertilizer particle coming off the disc has been developed, taking into account the translational speed of the machine for spreading mineral fertilizers. Analytical expressions for calculating the vector modulus of the absolute velocity of the ascent of a particle of mineral fertilizers from the disk of the working body and the angle between the specified vector and the horizontal plane (angle of ascent) at any moment of time were obtained on the basis of the composite equivalent scheme. Conclusions. The magnitude of the vector of the absolute rate of descent of a particle of mineral fertilizer from the disc of an inclined centrifugal spreading wor­king body and the angle between the vector and the horizontal plane are the main parameters that determine the flight range of the particle after its descent from the disc of the working body, and, therefore, the width of the machine for applying mineral fertilizers fertilizers As the friction coefficient f of mineral fertilizer particles increases from 0.1 to 0.7, the angle  increases from 2 to 33 deg. at a translational speed of the unit of 2.0 ms–1 and from 2 to 37 deg. at a translational speed of 4.0 ms–1. At the same time, some fertilizer particles will leave the disk at an angle greater than the angle  of the inclination of the disk itself to the horizontal plane, the rational values of which are within 20–30 deg. A change in the angular velocity of the rotational movement of the disk of the centrifugal working body has almost no effect on the change in the angle. The progressive speed of movement Vp, on the contrary, has some influence on the magnitude of the absolute speed and on the angle between the vector and the horizontal plane.