Volume 7: 29th Mechanisms and Robotics Conference, Parts a and B 2005
DOI: 10.1115/detc2005-84326
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Consistent Kinetostatic Indices for Planar 3-DOF Parallel Manipulators, Application to the Optimal Kinematic Inversion

Abstract: This paper investigates the problem of defining a consistent kinetostatic performance index for symmetric planar 3-DOF parallel manipulators. The condition number of the Jacobian matrix is known to be an interesting index. But since the Jacobian matrix is dimensionally inhomogeneous, a normalizing length must be used. This paper proposes two distinct kinetostatic indices. The first one is defined as the reciprocal of the condition number of the Jacobian matrix normalized with a convenient characteristic length… Show more

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Cited by 33 publications
(30 citation statements)
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“…The singular values of this Jacobian are dimensionless also. The characteristic length is derived such that it minimizes the singular values of the normalized Jacobian ( [49], [52], [53]). The characteristic length that produces the best performance measure was called the 'Natural Length' [54].…”
Section: 2mentioning
confidence: 99%
“…The singular values of this Jacobian are dimensionless also. The characteristic length is derived such that it minimizes the singular values of the normalized Jacobian ( [49], [52], [53]). The characteristic length that produces the best performance measure was called the 'Natural Length' [54].…”
Section: 2mentioning
confidence: 99%
“…The study of Sutherland and Roth [18] was generalized for any spatial single-loop mechanism in the recent study Chen and Angeles [21]. Alba-Gomez et al [22] have evaluated the quality of motion in the three degrees of freedom manipulators by means of a kinetostatic indicator, which is similar to the pressure angle. Among several works may be distinguished also the study of Lee et al [23].…”
Section: Introductionmentioning
confidence: 99%
“…l is obtained in such a way that l 1i and l 2i , i = 1, 2, 3, are identical and to have the same workspace size for the 3-RRR and the 3-RRR PPMs [17]. Moreover, we can determine an isotropic configuration for each 3-RRR.…”
Section: Geometric Parameters Normalizationmentioning
confidence: 99%
“…However, it is easier for planar manipulators as their singularities have a simple geometric interpretation [20,21]. The RW of a manipulator is a regular-shaped part of its workspace with good and homogeneous kinetostatic performance.…”
Section: Regular Workpacementioning
confidence: 99%