Experimental and mathematical modelling of grain material velocity

Abstract

The present article represents the next stage in the cycle of work on the research of vibrating motion of grain material. This paper contains the experimental results of the operation of a vibrating conveying machine. The investigation was carried out in three stages. The purpose of the first full-factor experiment with four varying factors was to identify factors having the least impact on the time of movement of grain material. As a result, it was found that the angle of vibration direction that has an impact on the amplitude has almost no effect on the velocity of the grain material. In the second phase of experiment carried out with three varying factors at fixed angle of vibration direction, the equation of mathematical model of time of passage of the control area has been obtained. Moreover, on the basis of previous studies, the angle of vibration direction was fixed at the position which has the greatest influence on the vibration amplitude. The third stage of the experiment was to evaluate applicability of the obtained model equation to describe movement of other grain crops with ellipsoidal grain shape. Verification of the obtained model for adequacy using Fisher's criterion showed that with 95% probability the obtained equation can be used for estimation of movement of grain material having ellipsoidal shape on vibrating surface.