This paper treats vibratory conveying by elliptical vibration. When particles are conveyed without jumping on a vibratory surface, types of motion are classified into seven modes. Classification of these modes is determined by three dimensionless quantities
Qaφ,
Qbφ and φ
1-φ
2 which are introduced from the conveying condition.
Qaδ and
Qbδ correspond to
Qa and
Qb respectively which were discussed already in previous reports treating the conveying by rectilinear vibration. When
Qaδ>1., forward slipping exists, while when
Qbδ> 1, backward slipping exists. The parameter φ
1-φ
2 is effective in the region of mode IV in which the particle slides forward and backward alternately during one period of vibration. These relations can be plotted on various diagrams and each region of modes can be clarified. Mean velocity
v of the particle can be calculated analytically and conveying velocity factor
Vδ which was defined already in a previous report can be also calculated.
Vδ is a function of four dimensionless quantities. Relation between the conveying condition and the conveying velocity is shown by equi-
Vδ-curve in various diagrams. Referring to these analytical results, optimum conveying condition and conveying velocity can be obtained. These results show that the vibratory conveying by elliptical vibration is more advantageous than the conveying by rectilinear vibration. It has been confirmed that the above theoretical results agree well with experimental studies.
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