Kinematics of computationally efficient mechanisms

In this work, mechanisms that admit efficient kinematic computations are studied. The computationally efficient mechanisms are a special class of linkages that their constraint equations contain lower-order terms than that of the ordinary linkages. The lower-order constraint equations are of low computational complexity and thus readily solved. In the paper, case studies are carried out for mechanisms up to 3 degrees of freedom (DOF) and some interesting kinematic results are revealed. Examples of computationally efficient mechanisms are also presented.