2011 IEEE/RSJ International Conference on Intelligent Robots and Systems 2011
DOI: 10.1109/iros.2011.6094909
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Three module lumped element model of a continuum arm section

Abstract: In this paper, a section of a continuum arm is modeled using lumped model elements (masses, springs and dampers). The model, although an approximation for a continuum structure, can be used to conveniently analyze the dynamics of the arm with selectable tradeoff in accuracy of modeling. Principles of lagrangian dynamics are used to derive the expressions for the generalized forces in the system. Simulation results using the model are compared with the physical measurements of a continuum arm prototype built us… Show more

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Cited by 37 publications
(22 citation statements)
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References 22 publications
(25 reference statements)
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“…Jones et al [23] used the Cosserat rod theory to analyze the 3-D statics for continuum robots. Giri et al [24] and Yekutieli et al [25] used the mass-spring system to model octopus-tentacle-like robots in 2-D space. Qiu et al [26] presented a repelling-screw based approach to model the reaction force of origami-inspired continuum robots when they are deformed.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Jones et al [23] used the Cosserat rod theory to analyze the 3-D statics for continuum robots. Giri et al [24] and Yekutieli et al [25] used the mass-spring system to model octopus-tentacle-like robots in 2-D space. Qiu et al [26] presented a repelling-screw based approach to model the reaction force of origami-inspired continuum robots when they are deformed.…”
Section: Introductionmentioning
confidence: 99%
“…Dynamic models using the Cosserat rod theory only considered static solutions, moreover, they simplified the robot to a planar or spatial curve where external loads or actuating forces cannot be accounted for appropriately [23]. The mass-spring system used in [24] and [25] can reflect the dynamic behaviors of soft bodies but was limited to the planar cases. The 3-D model reported in [27] is still within the scope of rigid body dynamics, and therefore has difficulties in describing elastic deformation.…”
mentioning
confidence: 99%
“…When used for relatively few rigid segments, lumped models avoid the complex expressions intrinsic in continuum arms to yield efficient results (Giri and Walker, 2011;Khalil et al, 2007). However, to accurately resemble the smooth bending of continuum arms many segments are required (Zheng et al, 2012), significantly increasing the overall degrees of freedom (DoF) in contrast to actual number of controlled joint variables.…”
Section: Introductionmentioning
confidence: 99%
“…no link deformation during motion), modeling continuum arms is challenging and there are two main approaches: lumped approximation and 'true' continuum shape modeling. [3] Lumped approaches such as [14,31] reflect the natural transition from rigid-linked to continuum arm modeling, but they require many virtual DoFs to accurately represent continuum sections. Because of the redundancy, this poses computational problems particularly for inverse kinematics employing iterative methods.…”
Section: Kinematic Modelingmentioning
confidence: 99%