振動輸送の研究 (第1報)

Abstract

A study is made of the motion of a particle on a vibratory conveyor. When a particle is conveyed without jumping on a vibrating surface, the type of motion is classified into seven modes. The classification of these modes is determined by two dimensionless quantities Qα and Qb. They areQα=αw2sin (γ+ρ) /gsin (θ+ρ) Qb=αw2sin (γ-ρ) /gsin (θ-ρ) in which αzw2 : acceleration of the vibrating surface, ρ : friction angle between the vibrating surface and the particle, θ : inclination of the surface, γ : direction of linear vibration of the surface. In mode I, |Qα| ≤1 and |Qb| ≤1, there is no relative slip between the particle and the vibrating surface. In mode, II, |Qα|> 1 and |Qb|≤ 1, the particle slides forward relatively and intermittently, and in mode III, |Qα|≤ 1 and |Qb|> 1, it slides backward also relatively and intermittently. In mode IV, |Qα|> 1 and |Qb| > 1, the particle slides forwared and backward alternately during one period of vibration. Mode IV is divided, moreover, into four modes according to the relation between Qα and Qb. A diagram with Qα to Qb plotted on a rectangular coordinate clarifies the regions of modes, and it is also useful to calculate the conveying velocity, which will be discussed in subsequent reports.It is confirmed that the above theoretical results agree well with experimental studies.