A Family of 2R1T Parallel Manipulators with Intersecting Rotational Axes

A family of 2R1T parallel manipulators (PMs) with intersecting rotational axes is proposed. The PMs of this family have identical kinematics although they are different in structure arrangement. The Jabobian matrices of the PMs of this family are established. The kinematic identical property of the PMs of this family is revealed based on analyzing their Jacobian. The common inverse and forward kinematics of the proposed PMs are derived in the closed form.