A vast number of mechanisms have been synthesized to augment the requirements of automation industry, but still there is need to invent useful mechanisms. To bridge this gap and to fulfill the requirement of motion between two extreme positions, various planar kinematic linkage mechanisms have been proposed by different researchers. In this paper, an effort has been made to propose a mechanism along with its analytical dimensional synthesis that makes use of two binary links having two offset tracing points. The proposed mechanism transmits motion between two extreme positions by alternately temporarily fixing a different binary link in two distinct stages. The analytical equations have been written using dyadic and triadic approach of mechanism synthesis for common standard kinematic task of path generation. The proposed method is noniterative and reduces the solution space.

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The technological advancements require sophisticated manufacturing procedures wherein requirement to design mechanisms that can precisely follow a specified path through a given number of precision points are to be fulfilled. With these objectives, a six-bar Stephenson III linkage mechanism, having one degree of freedom has been dimensionally synthesised for 12 precision points. The complex number dyadic and triadic loop closure equations have been used to synthesise the mechanism for path generation. In this approach, loop closure equations are solved simultaneously for 12 displacement positions of coupler tracing point and 12 orientation positions of various links for which the output link oscillates. The prescribed parameters are displacement vector (δj) and coupler link motion and the designer is not constrained to restrict the remaining orientation angles of links. Finally, a code has been developed in MATLAB to solve these loop closure equations for determination of the dimensional length of each link.

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