We consider in this paper a Gough-type parallel robot whose leg length values are constrained to lie within some fixed ranges and for which there may be mechanical limits for the motion of the passive joints. The purpose of this paper is to present algorithms to determine: • the constant orientation workspace: all the possible locations of the center of the platform that can be reached with a f...

We consider in this paper a Gough-type parallel robot whose leg lengths values are constrained to lie within some fixed ranges and for which there may be mechanical limits for the motion of the passive joints. The purpose of this paper is to present algorithms to determine: • the constant orientation workspace: all the possible locations of the center of the platform which can be reached with a...

This paper proposes an optimum design method that satisfies the desired orientation workspace at the boundary of the translation workspace while maximizing the mechanism isotropy for parallel manipulators. A simple genetic algorithm is used to obtain the optimal linkage parameters of a six-degree-of-freedom parallel manipulator that can be used as a haptic device. The objective function is comp...

this paper presents the results of a comprehensive study on the efficiency of planar parallel mechanisms, considering their kinetostatic performance and also, their workspace. this aim is approached upon proceeding single- and multi-objective optimization procedures. kinetostatic performances of ten different planar parallel mechanisms are analyzed by resorting to a recent index, kinematic sens...

The closed-loop nature of the Gough-Stewart platform generates complex singular configurations inside the workspace and makes its workspace smaller compared to the serial mechanism. It is desirable to obtain a non-singular workspace based on describing the constraint workspace and representing the singularities inside the constraint workspace. Some algorithms have been proposed by researchers t...

This paper presents a detailed analysis of the constant-orientation wrench-closure workspace of planar three-degree-of-freedom parallel mechanisms driven by four cables. The constantorientation wrench-closure workspace is defined as the subset of the plane wherein, for a given orientation of the moving platform, any planar wrench applied on the moving platform can be balanced by the cable-drive...

This paper presents a geometrical method for the workspace analysis of 6-PRRS parallel manipulators. A geometric algorithm is described for the computation of the constant-orientation workspace, which was implemented in the CAD/CAM system CATIA. The in ̄uence of the di€erent design parameters on the workspace, as well as on other properties of the manipulator, is discussed. In addition, a new re...

This paper presents a new discretization method for the computation of the orientation workspace of 6DOF parallel manipulators, de®ned as the set of all attainable orientations of the mobile platform about a ®xed point. The method is based on the use of a modi®ed set of Euler angles and a particular representation of the orientation workspace. In addition, the projected orientation workspace is...

We present a fast algorithm for solving the problem of the verification of a trajectory for a 6-DOF parallel manipulator with respect to its workspace: i.e., given two different postures for the end-effector, is the straight line joining these two postures in the parameters space fully inside the workspace ? This algorithm is based on the analysis of the algebraic inequalities describing the co...