Physical model and kinematics of a flat sieve making transverse oscillations

Abstract

It is known that vibration machines have become wide-spread for the intensification of various technological processes and are considered to be the technologies of the future. The vibration effect is intended to provide such a dynamic state of the processed medium which contributes to the intensification and high-quality flow of the technological process while simultaneously reducing energy and power parameters. This study concerns the relevance and brief analysis of grain cleaning equipment for intensifying the process of separation of grain material. In relation to a sieve grain cleaning machine, the technological process of separating the grain mixture on a sieve is presented in the form of a block diagram which is characterized by establishing patterns between input and output parameters. Thus, for a flat sieve of a grain cleaning machine that performs transverse vibrations, the physical model and kinematics of the sieve are considered which are clearly presented in the form of drawings. The main assumptions adopted for the theoretical determination of the parameters characterizing the process of movement of the separated material along a flat sieve performing transverse vibrations are presented. It is considered that a flat sieve with mass m is acted upon by such forces as the elastic force of the spring Fsp and the disturbing force F(t). The acting forces are described in detail and the differential equation of motion of such a flat sieve is drawn up. The dependence was obtained that determined the displacement of a flat sieve in the direction of the x axis. After twofold differentiation of the dependence and the adopted notation, the equations for determining the speed and acceleration of oscillation of a flat sieve performing transverse oscillations were finally obtained. It has been determined that the transverse vibration of a flat sieve consists of free and forced vibrations.