2019
DOI: 10.1016/j.mechmachtheory.2019.05.024
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An algebraic parameterization approach for parallel robots analysis

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Cited by 32 publications
(16 citation statements)
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“…In order to overcome this difficult situation, robotic structures for post-stroke rehabilitation of upper or lower limb started to be developed, being a suitable aid for the kinetotherapist performing the repetitive rehabilitation motions. In the last decades, a series of robotic structures for medical rehabilitation of the upper limb have been developed and analyzed by Huang [6], Al-Fahaan [7], Vaida [8,9], Carbone [10], Görgülü [11], Husty [12], Berceanu [13], Tarnita [14], Gherman [15], Tucan [16] and furthermore systematically reviewed by Ona [17,18], Baur [19], Onase [20], and Rehmat [21]. Some significant research prototypes are presented below.…”
Section: Introductionmentioning
confidence: 99%
“…In order to overcome this difficult situation, robotic structures for post-stroke rehabilitation of upper or lower limb started to be developed, being a suitable aid for the kinetotherapist performing the repetitive rehabilitation motions. In the last decades, a series of robotic structures for medical rehabilitation of the upper limb have been developed and analyzed by Huang [6], Al-Fahaan [7], Vaida [8,9], Carbone [10], Görgülü [11], Husty [12], Berceanu [13], Tarnita [14], Gherman [15], Tucan [16] and furthermore systematically reviewed by Ona [17,18], Baur [19], Onase [20], and Rehmat [21]. Some significant research prototypes are presented below.…”
Section: Introductionmentioning
confidence: 99%
“…In this case the kinematics establish simple relationships between the body joints and the robot' actuators which allow straightforward programming of any exercises which are defined by amplitude (angular) variations of the articulations. This is true since the kinematics of the robotic system is strongly correlated with the patients' lower limb joint motions (this result regarding the motion parameterization was also discussed in [29]). Some differences may exist between the value of the angle of the patient's joint and the value of the mechanism revolute joint angle (adjacent to the patient limb joint).…”
Section: Discussionmentioning
confidence: 78%
“…adjust to anthropometric variations), therefore the alignment of the mechanical joints with the anatomical joints is achievable; iii) the anchor elements placed on the RAISE robotic system are compliant (there is no fixture between the anchor elements of the mechanism with the lower limb segments), therefore during the rehabilitation exercises the lower limb is not forced into specific motions that may produce injury. The reasoning of choosing this simple kinematic model for the lower limb is also discussed in [29].…”
Section: A Geometric and Kinematic Modelling Of The Raise Robotic Symentioning
confidence: 99%
“…where the P ins represents the coordinates of the target point (encoding also the orientation of the medical tool) P represents the insertion point and P l represents the insertion length; [1:0:0:0:0:−l/2:0:0] for the insertion along the X' axis (of the mobile frame), [1:0:0:0:0:0:−l/2:0] for the insertion along the Y' axis and [1:0:0:0:0:0:0:−l/2] for the insertion along the Z' axis. Equation (8) represents the linear insertion whereas Equation 9represents the retraction (i.e., the inverse operation) and it is given by multiplying with the conjugate of the dual quaternion. (2) The RCM manipulation between two configurations of the robot is given by:…”
Section: Of 17mentioning
confidence: 99%
“…One algebraic method based on the Study parameters (or dual quaternion) of SE (3) which is presented in [2][3][4], has the advantages (over some vector-based methods) that it describes the global kinematics of the mechanisms (showing all the working modes and being a powerful tool to find the mechanism singularities) and it is free of parameterization singularities. The Study parameters method was used in the analysis of various robotic systems such as the Stewart-Gough platform [5], the 3-RPS parallel manipulator [3], in the analysis of medical robots [4,6,7] and it was even tailored to analyze rehabilitation robots such as the one found in [8].…”
Section: Introductionmentioning
confidence: 99%