Mathematic simulation of +13 mm particles motion in jig

Abstract

To meet the needs of the jigging process control, attempt to combine the studying on jigging mechanism with the operating and detecting parameters so as to use them in practical producing control. On the basis of studying the motion characteristic of water in jig, the motion of particles with different size and density was researched. A laboratorial model jig and a high-speed dynamic analysis meter were used and 60 group conditions were designed in experiment. The motion rule and curves were gained through analyzing the huge amount of data and pictures with the high-speed dynamic analysis meter. The conclusion is that the characteristic of the position curve of the particles is similar with the typical damped vibration. Then the motion differential equation of the particles was educed imitating the damped vibration and the solution equations were gained. In the equations the motion parameters of the particles in jig, such as velocity, acceleration, force etc. are in a direct proportion to the air pressure, and have a definite non-linear relationship with the jigging cycle, thickness, mobility of the jig bed, mass and size of the particles and so on. The equations might be used directly in control process of jig.