A concept of the metamodel based on the dynamics analysis results of the eccentric crank-rocker mechanism

This paper presents the concept of using the metamodel of the dynamics of the crank-rocker mechanism with eccentricity for its synthesis. The formalism of joint coordinates, homogeneous transformation matrices, and Lagrange equations are used to derive the mathematical model of the mechanism, which considers the flexibility of the drive and con-rod. Using the mathematical model of the mechanism, the function of which is to compact the raw material using a rocker, the simulation of many dimensional variants of the mechanism is performed. Next, based on the results, a metamodel of the mechanism is proposed, with the design criterion being the maximal value of the rocker kinetic energy, which is adopted as a measure of the efficiency of raw material compaction. The metamodel is used in practice to determine the lengths of links of the mechanism that met the adopted design criteria. A comparison of options of the analysis of mechanism models with and without the flexibility of the drive or/and con-rod is also presented.