2014
DOI: 10.1115/1.4026631
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Force/Motion Transmissibility Analysis of Six Degree of Freedom Parallel Mechanisms

Abstract: Drawing mainly on the concepts of dual space and dual basis in linear algebra and on existing screw theory, this paper presents a novel and systematic approach for the force/motion transmissibility analysis of 6DOF parallel mechanisms. By taking the reciprocal product of a wrench on a twist as a linear functional, the property exhibited by the dual basis allows the formulation of the force/motion transmissibility between the joint space and operation space in an accurate and concise manner. The consistency bet… Show more

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Cited by 32 publications
(12 citation statements)
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“…This physical criterion was already provided in [23] and can be respected through a proper robot trajectory planning. It should also be mentioned here that in the works [33,34,35], the authors used criteria based on a virtual power to characterize the motion/force transmissibility in parallel manipulators (and thus to characterize the closeness to Type 1 and Type 2 singularities). However, such criteria where never used to defined a criterion able to avoid the degeneracy of the dynamic model near singularity.…”
Section: Optimal Trajectory Planning Through Type 2 Singularitiesmentioning
confidence: 99%
“…This physical criterion was already provided in [23] and can be respected through a proper robot trajectory planning. It should also be mentioned here that in the works [33,34,35], the authors used criteria based on a virtual power to characterize the motion/force transmissibility in parallel manipulators (and thus to characterize the closeness to Type 1 and Type 2 singularities). However, such criteria where never used to defined a criterion able to avoid the degeneracy of the dynamic model near singularity.…”
Section: Optimal Trajectory Planning Through Type 2 Singularitiesmentioning
confidence: 99%
“…Many indexes are proposed, such as transmission factor, generalized transmission index that can evaluate the motion/force transmissibility, local transmission index and homogeneously dimensionless local and global transmission indices. [20][21][22][23][24] Although different kinds of indexes are presented for parallel mechanism, an index which can reflect the degree of symmetry of kinematic performance of parallel mechanism is not presented. In this article, we propose an index called global symmetry index (GSI) to reflect the degree of symmetry of kinematic performance.…”
Section: Introductionmentioning
confidence: 99%
“…At present, most of the works on kinematic analysis for mechanisms are based on the ideal joints, 46 which do not accurately capture the actual working conditions of mechanisms. When clearances are taken into account, collision contact, as well as contact forces must be considered in the dynamic model.…”
Section: Introductionmentioning
confidence: 99%