Untitled research work

This paper describes a simple method to calculate orientation probabilities of works with a conical or cylindrical surface. Important factors to determine probabilities of orientation of rolling works are deceleration of rolling velocity of works and the shape of separatrixes for rolling motion of works. On the other hand, in automatic assembling systems, many works roll simultaneously on a plane of feeder. In such cases, the deceleration is uniformly with any contact surfaces of works. Therefore, probabilities of orientation are calculated by considerations for the shape of separatrixes with rolling motion and considerations for deceleration become useless. The conical surface is divided in equal n parts and the one of parts is considered a small trapezoid for large number of n. The plane of critical angles of the part is given also for a trapezoid. The plane of critical angles of conical surface is given by a fan-shaped plane which is formed by collection of those trapezoids. The plane for cylindrical or circular surfaces is given by a particular case of conical surface. Finally, results of this method are examined by experiments which are performed for some examples.