CONSTRUCTION OF MATHEMATICAL MODELOF CRUSHED STONE GRINDING PROCESS IN CRUSHING UNITWITH VERTICAL SHAFT

Abstract

The study of the movement of centrifugal crushing plant impact elements with a vertical shaft before collision
with a particle of material has been carried out. The velocities of the links mass centers of the impact elements have
been calculated. The described process of shock elements vibration is characterized by significant instability with
respect to the input parameters spread, which is taken into account when compiling the model. The expression of kinetic
energy in a general form is compiled taking into account the movement of shock elements, hinges, rotor and links. The
expression of kinetic energy in analytical form has been compiled. The coordinates values of the impactor position in
the function of time on the segment have been obtained, the Lagrange equations of the 2nd kind for the rotating system
of the crushing plant have been compiled. Schemes of the fourth order of accuracy have been obtained, forming
a family of four-term schemes, as having sufficient accuracy in the bulkiness absence. A numerical-analytical algorithm
has been developed to obtain of the function discrete values over a finite period of time.

Fig. 3. Ref.: 7 titles.