Three Coupler Position Synthesis and Kinematic Analysis for a Couple of Four-Bar Mechanism

The four-bar mechanism is a class of mechanical linkage in which four links are pinned together to form a closed loop in order to perform some useful motion. In this paper the four bar mechanism is designed by forming mathematical model for mechanism position incorporating three coupler position. The three coupler position synthesis is done for four possible alternatives. Kinematic analysis is performed for the mechanism designed in the first alternative. The algebraic position equation for the mechanism is derived. The first and the second derivative of the position equation provide the velocity and acceleration of the mechanism. For the known position, velocity and acceleration of the input link, the position, velocity and acceleration of the other links are determined. MATLAB programs are written to solve the mathematical model and equations developed in the kinematic analysis. The result of four-bar mechanism design and its kinematic analysis is included.