Kinematics of 3-RPS parallel manipulators by means of screw theory

Abstract

In this work the forward position analysis of parallel manipulators with identical limbs, type revolute-prismatic-spherical (RPS), is carried out applying recursively the Sylvester dialytic elimination method. Afterwards, the velocity and acceleration analyses of the mechanisms at hand are addressed using the theory of screws. A numerical example is provided to prove the efficacy of the chosen methodology for the kinematic analyses of the mechanisms under study.