2008
DOI: 10.1017/s0263574708004384
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Wrench capabilities of planar parallel manipulators. Part I: Wrench polytopes and performance indices

Abstract: SUMMARYThis paper is organized in two parts. In Part I, the wrench polytope concept is presented and wrench performance indices are introduced for planar parallel manipulators (PPMs). In Part II, the concept of wrench capabilities is extended to redundant manipulators and the wrench workspace of different PPMs is analyzed. The end-effector of a PPM is subject to the interaction of forces and moments. Wrench capabilities represent the maximum forces and moments that can be applied or sustained by the manipulato… Show more

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Cited by 36 publications
(21 citation statements)
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“…Hence the dimension of the generalized forces is n ≤ 6 (see below). Generalized force is also commonly referred to as wrench (Firmani et al 2008). Leg configuration is described by m generalized angles, θ (mx1).…”
Section: Methodsmentioning
confidence: 99%
“…Hence the dimension of the generalized forces is n ≤ 6 (see below). Generalized force is also commonly referred to as wrench (Firmani et al 2008). Leg configuration is described by m generalized angles, θ (mx1).…”
Section: Methodsmentioning
confidence: 99%
“…The concept of a wrench workspace has been studied in [5], [9]- [12], [20], [21]. An interval-based method [13], [15] and a convex-hull method [4], [5], [9], [10] are two current techniques for numerically obtaining the wrench workspace.…”
Section: Workpacesmentioning
confidence: 99%
“…An interval-based method [13], [15] and a convex-hull method [4], [5], [9], [10] are two current techniques for numerically obtaining the wrench workspace. A comparison of the two techniques applied to the 3-RPR CDPM is provided in [19].…”
Section: Workpacesmentioning
confidence: 99%
“…Krut et al (2004b) also studied force performance indices of redundant parallel manipulators and determined the isotropic wrench workspaces of planar wire-driven manipulators with multiple actuated limbs. Firmani et al (2007a and) derived a set of wrench performance indices for PPMs. Merlet (1996) described that the inclusion of redundancy may lead to improvements in various analyses such as forward kinematics, singular configurations, optimal force control, and calibration.…”
Section: Wwwintechopencommentioning
confidence: 99%