Function Generation by Mechanisms:
Assume θ & φ be the angles of rotation of input or driver link & driven or follower link respectively. Consider y = f (x) be the function to be produced. The angle of rotation of the input or driver link O2 A show independent variable x. The angle of rotation φ of the follower link O4B represents dependent variable y as shown in Figure. The relation among x & θ and that among y & φ is usually supposed to be linear. Assume θi & φi be the initial values of θ & φ representing xi and yi respectively. On the basis of a supposed linear relationship, we obtain the following
Likewise,
here rx and ry are scale factors. The subscripts i & f mention the initial & final values.