This paper addresses the dimensional synthesis of parallel kinematics machines. A multiobjective optimization problem is proposed in order to determine optimum structural and geometric parameters of parallel manipulators. The proposed approach is applied to the optimum design of a three-degree-of-freedom planar parallel manipulator in order to minimize the mass of the mechanism in motion and to...

in the research, six degrees of freedom hexapod parallel machine tool is studied and investigated. jacobian matrix is developed by cinematic relations differentiation and using weighted coefficient method, dimensional analysis operation is carried out on jacobian matrix. geometric parameters of cartesian robot workspace are optimized, considering a minimum allowable rotation about three axes, a...

It was shown recently that parallel manipulators with several inverse kinematic solutions have the ability to avoid parallel singularities [Chablat 1998a] and self-collisions [Chablat 1998b] by choosing appropriate joint configurations for the legs. In effect, depending on the joint configurations of the legs, a given configuration of the end-effector may or may not be free of singularity and c...

The static balancing of spherical three-degree-of-freedom (DoF) parallel mechanisms and manipulators is addressed in this paper. Static balancing is defined here as the set of conditions on mechanism dimensional and inertial parameters which, when satisfied, ensure that the weight of the links does not produce any torque (or force) at the actuators for any configuration of the mechanism, under ...

This paper extends the Operational Space Formulation to the important class of serial-to-parallel chain (branching) manipulators. The various models and concepts developed in operational space, such as Dynamically Consistent Force/Torque Decomposition for control of redundant manipulators and the Augmented Object Model for cooperative manipulator systems, are shown to extend directly. Dynamic m...

In this paper, three numerical methods are presented to solve the forward kinematics of a three DOF actuator-redundant hydraulic parallel manipulator. It is known, that on the contrary to series manipulators, the forward kinematic map of parallel manipulators involves highly coupled nonlinear equations, whose closed-form solution derivation is a real challenge. This issue is of great importance...