The Cylindroid Associated With Finite Motions of the Bennett Mechanism

Abstract

The finite kinematic geometry of the Bennett mechanism is explored in this paper. The screw axes of all possible coupler displacements of the mechanism from any given configuration are shown to form a cylindroid. The screw system of the coupler displacement is obtained by using the intersection of finite screw systems associated with two corresponding revolute-revolute dyads. Inverse finite kinematic analysis is also performed to verify this new linear property of the Bennett mechanism.