Review of Analytical Methods of Kinematic Analysis of the Drive Mechanism of a Chain Unit

The authors of the article continue searching for the optimal operation of the experimental model of the chain unit they created. The main parts of its design are the working chamber and its drive mechanism. The movement of the chains of the working chamber, and therefore the dynamic impact on the material to be processed, depends on the kinematic characteristics of the movement of the drive mechanism links, primarily the crank and rocker. Therefore, the problem of choosing an algorithm for kinematic analysis of the drive mechanism is relevant. The study presents the results of a review of domestic and foreign sources, which describe in detail the algebraic method, closed vector contour methods and coordinate transformations. The first of them is based on the algorithm of theoretical mechanics - first, the equations of motion of the mechanism links are written from the geometric analysis of the scheme, and then their speeds and accelerations are determined as the first and second derivatives with respect to time. According to the second method, the equations of motion of the mechanism are composed using a closed vector contour through its projections on the coordinate axes. For the kinematic analysis of the mechanism under consideration, the methods of coordinate transformation, triangle, Assur group and base vector can also be used.