Kinematic properties of nth–order Bresse circles intersections for a crank-driven rigid body

This paper is focused on higher-order planar kinematics and deals with the kinematic properties of the nth-order poles and Bresse circles intersections for a crank-driven rigid body, which belongs to a four-bar kinematic chain in the form of a four-bar, a slider-crank or a swinging-block mechanism. In particular, specific kinematic properties of nth-order Bresse circles are presented and proven for the first time in the form of three novel theorems, by means of the proposed formulation, which has been validated by significant graphical and numerical results for several crank-driven four-bar mechanisms in different configurations