Rational choice of parameters of powered disk of a soil cultivation unit

The paper aims to show the advantage of solution of the non-formal problem of rational choice of parameters of powered disk of a soil cultivation unit when it is formalized as bi-criteria optimization problem in comparison with its formalization as one-criterion optimization problem. An earlier suggested mathematical model of interaction between disk and soil is used. This model allows to determine the driving force and power consumption required for disk motion in soil depending on the parameters determining its operating mode. The taken dimensionless parameters are: the kinematic coefficient equal to the ratio of peripheral disk speed to forward speed of soil cultivation unit, and the relative depth of disk equal to the ratio of its operating depth to its radius. The problem of rational choice of parameters of powered disk is formalized as optimization problems by the following criteria: the maximal driving force; the maximal efficiency coefficient of powered disk; the maximal driving force and efficiency coefficient; the maximal driving force and minimal power consumption for disk motion in soil. The solutions of these optimization problem are obtained. It is found that in the case of two bi-criteria problem statements the compromise curves are almost identical in the parameter plane. It is also shown that the advantage of formalization as bi-criteria optimization problems lies in the fact that it allows to find such values of parameters whereby the required driving force is achieved with maximal efficiency coefficient and minimal power consumption for disk motion in soil.

rational choice, powered disk, driving force, power consumption, bi-criteria optimization problem, compromise curve