Abstract: Based on the Lie-group-algebraic properties of the displacement set, the 4DOF primitive generators of the Schoenflies motion termed X-motion for brevity are briefly recalled. An X-motion includes ...

Abstract: Based on the Lie-group-algebraic properties of the displacement set, the three-degree-of-freedom (3DOF) pseudoplanar motion often termed Y motion for brevity is first introduced. Then, all possible ...

Abstract: Based on derived matrix loop equations and their algebraic manipulations, we obtain the necessary mobility criteria, and prove that there are only three types of movable spatial 6R mechanisms ...