...Hai-Jun Su This paper presents a general framework for studying the mobility of flexure mechanisms with a serial, parallel or hybrid topology using the screw algebra. The current approach for mobility analysis of flexures is ad hoc and mostly done by intuition. In this methodology, we first build...

... in this way. In order to treat planes and spheres on an equal footing, the Clifford algebra for the Möbius group is introduced. Wampler , C. , 2006 , “ On a Rigid Body Subject to Point-Plane Constraints ,” ASME J. Mech. Des. 0161-8458 , 128 ( 1 ), pp. 151 – 158 . 10.1115/1.2120787...

... propose a methodology for kinematic modeling of multiwheeled mobile platforms using instant centers to efficiently describe the motion of all system points up to the n th order using a generalized algebraic formulation. This is achieved by using a series of instant centers (velocity, acceleration, jerk...

... as points in a special higher dimensional projective space (called the image space), and on formulating the kinematic constraints of closed chains as algebraic surfaces in the image space. Kinematic constraints under consideration limit the positions and orientation of the coupler in its workspace...

... producing one solution to the FDA, and the four singularity-free regions. Using an algebraic approach, this paper will prove that such a one-to-one correspondence exists. Therefore, a unique solution to the FDA can be obtained in a straightforward way for such a parallel manipulator if the singularity-free...