Analysis of a complex planar mechanism of the third class with two translational and other rotational kinematic pairs

Abstract

In various fields of mechanical engineering, complex planar lever mechanisms with structural groups of links of the third, fourth, and higher classes are widely used. Conducting research on such mechanisms involves a systematic sequence of actions, with significant emphasis placed on their structural and kinematic analysis. In the article, we performed a structural analysis of a complex planar mechanism of the third class with two translational and other rotational kinematic pairs. We considered all possible variants of structural transformation of the third-class mechanism under the condition of selecting other possible driving links and obtained corresponding structural formulas. We developed a sequence of actions and, using graph-analytical methods, conducted a kinematic analysis of a third-class mechanism with two translational and other rotational pairs in a manner characteristic of second-class mechanisms. In our investigation, we took into account the property of planar mechanisms of higher classes to structurally modify their construction formula depending on the selected initial mechanism.