2020 年 86 巻 886 号 p. 19-00345
There are the conveying machines utilizing vibration which can transport the various parts of engineering products in succession. When the body to be carried has the axisymmetric shape like an ellipsoid, it does not need to vibrate the conveying machine, and the ellipsoidal body itself can roll down the stationary tilted track automatically. But it will continue to accelerate in speed and we cannot avoid the bump due to the over-speed at the goal. The author designed to prevent the over-speed rolling motion of this ellipsoidal body by setting the vertical walls on the both sides of the slope through the slight collision there. This way leads to simplify the complicated vibrating mechanism and further to decrease the consumption of power and the emission of noise & vibration. The most important subject for realizing this simple conveying system is whether rolling and colliding motions of the body are sustained spontaneously or not. The purpose of this research is to clarify the behavior of the self-excited motion which this ellipsoidal body continues to roll down the tilted slope through the repetitious collision with the walls. The author analyzed this motion of the body as three dimensional descending movement of the rigid body without a fixed point. From this analysis, he could confirm the continuous rolling and colliding motions which were also observed in the experiments.
