Geometric Calculation of the Influence of an Oscillating Sieve’s Actuation Mechanism Position on Its Motion

Abstract

This article offers a general approach to studying a four-bar mechanism from a geometric viewpoint. The four-bar mechanism form is used in a large number of existing pieces of machinery and equipment. This type of mechanism, used to drive a screen and generate its oscillating motion, is referred to in this article for its application in separation systems. In the literature, there are numerous approaches for analyzing such a mechanism. In addition to determining this mechanism’s geometry, an examination of the influence of the drive system’s position on the motion of the tie rods, or the support system of an oscillating site, is also conducted. In the investigation, the connecting rod angle was adjusted between −45 degrees and 60 degrees without respect to the horizontal. The following parameters, which correspond to the operation of the oscillating sieve motion, were obtained from the determined mathematical relations: the movement made by the free end of the tie rod; the tie rod’s angle in relation to the crank movement varies; and variation in the angle the tie rod achieves based on the drive system’s inclination angle. From the analysis, it was discovered that the drive system’s position in relation to the other components of the assembly had a direct influence. The calculation steps were designed to be performed using Mathcad 15.