振動ふるい上の粒子の運動 (第3報)

円運動の場合

抄録

This paper is to report the theoretical analysis and experimental studies concerning the flowing velocity of a single grain on the oscillating screen surface in circular motin. The idea was the same as the one used for the analysis of elliptical motion. The objective of this work was to check the validity of the theoretical equations. A point on the crank arm of the four-bar linkages was adopted to oscillate the screen in circular motion. Samples and measuring methods for the experiments were the same as described in the second report of this series. The motion of a single grain on the screen surface was analytically studied from the pictures of the stroboscope and the oscillograms of acceleration and phase angle.
The conclusions were the following:
1) As the frequency and amplitude of the screen incressed, so did the mean velocity of grain.
2) In the case of counter-flow, the direction of relative motion of the single grain was positive, and the relative motion of grain on the screen surface changed from positive sliding motion to positive jumping motion. On the contrary, in the case of con-flow, it was negative, and the relative motion of the single grain on the screen surface changed from negative sliding motion to negative jumping motion. The motion of single grain after jumping was subjected to the phase of screen with respect to the landing.
3) Excepting the rolling motion of the single grain, the mean velocity of a single grain of the theoretical analysis agreed with the results acquired from experiments, and the rationality of the theoretical analysis was ascertained.
This study may be applicable to the theory which will analyse flowing grain layer.