2018
DOI: 10.1016/j.rcim.2017.08.002
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Kinematic calibration and investigation of the influence of universal joint errors on accuracy improvement for a 3-DOF parallel manipulator

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Cited by 40 publications
(16 citation statements)
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“…where J θ represents the kinematic Jacobian matrix; equation (7) describes the transformation of the force between coordinate systems; 0 F m is the force vector of the external payload; 0 R 6 is the rotation matrix between the actual robot base frame (F 0 ) and the flange frame (F 6 ); 6 P m is the vector between the centroid of the external payload and the origin of the flange frame (F 6 ); and E 3 is a 3 × 3 identity matrix.…”
Section: Compliance Error Model With the Variable External Payloadsmentioning
confidence: 99%
See 1 more Smart Citation
“…where J θ represents the kinematic Jacobian matrix; equation (7) describes the transformation of the force between coordinate systems; 0 F m is the force vector of the external payload; 0 R 6 is the rotation matrix between the actual robot base frame (F 0 ) and the flange frame (F 6 ); 6 P m is the vector between the centroid of the external payload and the origin of the flange frame (F 6 ); and E 3 is a 3 × 3 identity matrix.…”
Section: Compliance Error Model With the Variable External Payloadsmentioning
confidence: 99%
“…To meet the high-precision requirements of complex tasks, the absolute positioning accuracy of robots is particularly important [2][3][4]. Robot calibration and error compensation are two important ways to improve the absolute positioning accuracy of robots, which have been studied by several scholars [5][6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…A straightforward explanation of this result is that the twist axis of a prismatic joint is a free vector so that it only needs two angular parameters to describe the direction [11,12,[22][23][24][25]. In addition, singular value decomposition (SVD) is an alternative way for determining the identifiable parameters at the calibration level [26][27][28][29][30][31][32][33][34][35][36]. Although a column full ranked identification Jacobian can be guaranteed, the retained error parameters have no longer geometrical meanings.…”
Section: .Introductionmentioning
confidence: 99%
“…Their global kinematic model was developed based on a Modified Denavit-Hartenberg (MDH) Model without separating the hand-eye and robot exterior models. The MDH method and Hayati convention were also used by Kong et al (2018) to calibrate the kinematics and enhance the accuracy of a 3-PRRU parallel manipulator through the effect of error of its universal joints. However, the disadvantage of the model-based method is that an understanding of modelling and identification processes requires advanced knowledge of robot kinematics.…”
Section: Introductionmentioning
confidence: 99%