Path generation synthesis of planar double-slider linkages via the elliptic coupler curve

Abstract

The path generation synthesis of a double-slider linkage is performed for a given elliptic curve. It is shown that there are ∞2 linkages that can trace the same ellipse. The formulation for obtaining all such linkages is presented. The formulation sheds light for the design of the planar slider-crank and four-bar linkages from the given algebraic form of the coupler path curve as well.