DEVELOPMENT AND IMPROVEMENT OF THE METHODS OF KINEMATIC GEOMETRY FOR THE SYNTHESIS OF THE LINKAGE PATH GENERATING MECHANISMS
The article is dedicated to the development and improvement of the kinematic geometry synthesis methods of the linkage path generating mechanisms on the basis on four-bar linkage which coupler point could trace both symmetric and asymmetric coupler curves. These mechanisms have wide application in machine building due to their advantages in comparison with the other types of mechanisms. For the synthesis of the linkage path generating mechanisms methods of kinematic geometry can be applied. It is known that for the synthesis of such mechanisms special coupler plane points can be found. The case of six infinitesimally close positions is considered (the 5-th order Chebyshev case). For that case, the equation of the curve which is the locus of points with 5th order of tangency with their tangent circles is obtained both in implicit and parametric forms which makes it possible to plot that curve. The obtained results were verified by constructing the symmetrical linkage for the 5th order Chebyshev case for which analytical solution is known. The results can be useful in further researches in the theory of synthesis of path generating linkage mechanisms.