2016
DOI: 10.1109/tro.2015.2500422
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Elastic Stability of Concentric Tube Robots: A Stability Measure and Design Test

Abstract: Concentric tube robots are needle-sized manipulators which have been investigated for use in minimally invasive surgeries. It was noted early in the development of these devices that elastic energy storage can lead to rapid snapping motion for designs with moderate to high tube curvatures. Substantial progress has recently been made in the concentric tube robot community in designing snap-free robots, planning stable paths, and characterizing conditions that result in snapping for specific classes of concentri… Show more

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Cited by 61 publications
(48 citation statements)
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“…The concentric tubes approach is a third extracorporeal solution for robotizing the endoluminal surgery [13]. It aims at improving the motion control of catheters while reducing the overall size of the extracorporeal robotic system.…”
Section: Introductionmentioning
confidence: 99%
“…The concentric tubes approach is a third extracorporeal solution for robotizing the endoluminal surgery [13]. It aims at improving the motion control of catheters while reducing the overall size of the extracorporeal robotic system.…”
Section: Introductionmentioning
confidence: 99%
“…In other words, the set V T is initialised with the vertex closest to p T . Then, iteratively, the vertex v k most distant to the set of vertices V T according to (9) is marked as additional target-vertex, i.e.…”
Section: Querying Of Roadmap -Iacmentioning
confidence: 99%
“…The latter result from the instability of CTR, which under certain configurations rapidly release energy after sufficient torsional wind-up of their tubular components [9]. These instabilities cause uncontrollable tube motion, which, if it occurs intraoperatively, may cause severe tissue trauma.…”
Section: Introductionmentioning
confidence: 99%
“…Detailed models based on tube mechanics have been developed for the forward and inverse kinematics of CTRs. The most advanced models account for the torsional windup along the length of each tube, as well as the instability of configurations (equilibrium conformations) arising from torsion [10], [11]. Energy accumulated through the torsional wind-up of the tubes can rapidly release in certain tube configurations and cause uncontrollable motion [11], [12].…”
Section: Introductionmentioning
confidence: 99%