Enhancing Kinematic Performances of Soft Continuum Robots for Magnetic Actuation

Fuente: arXiv
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Hauptverfasser: Wu, Zhiwei, Luo, Jiahao, Wei, Siyi, Zhang, Jinhui
Format: Preprint
Veröffentlicht: 2025
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author Wu, Zhiwei
Luo, Jiahao
Wei, Siyi
Zhang, Jinhui
author_facet Wu, Zhiwei
Luo, Jiahao
Wei, Siyi
Zhang, Jinhui
contents Soft continuum robots achieve complex deformation through elastic equilibrium, making their reachable motions governed jointly by structural design and actuation-induced mechanics. This work develops a general formulation that integrates equilibrium computation with kinematic performances by evaluating Riemannian Jacobian spectra on the equilibrium manifold shaped by internal/external loading. The resulting framework yields a global performance functional that directly links structural parameters, actuation inputs, and the induced configuration space geometry. We apply this general framework to magnetic actuation. Analytical characterization is obtained under weak uniform fields, revealing optimal placement and orientation of the embedded magnet with invariant scale properties. To address nonlinear deformation and spatially varying fields, a two-level optimization algorithm is developed that alternates between energy based equilibrium search and gradient based structural updates. Simulations and physical experiments across uniform field, dipole field, and multi-magnet configurations demonstrate consistent structural tendencies: aligned moments favor distal or mid-distal solutions through constructive torque amplification, whereas opposing moments compress optimal designs toward proximal regions due to intrinsic cancellation zones.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhancing Kinematic Performances of Soft Continuum Robots for Magnetic Actuation
Wu, Zhiwei
Luo, Jiahao
Wei, Siyi
Zhang, Jinhui
Robotics
Soft continuum robots achieve complex deformation through elastic equilibrium, making their reachable motions governed jointly by structural design and actuation-induced mechanics. This work develops a general formulation that integrates equilibrium computation with kinematic performances by evaluating Riemannian Jacobian spectra on the equilibrium manifold shaped by internal/external loading. The resulting framework yields a global performance functional that directly links structural parameters, actuation inputs, and the induced configuration space geometry. We apply this general framework to magnetic actuation. Analytical characterization is obtained under weak uniform fields, revealing optimal placement and orientation of the embedded magnet with invariant scale properties. To address nonlinear deformation and spatially varying fields, a two-level optimization algorithm is developed that alternates between energy based equilibrium search and gradient based structural updates. Simulations and physical experiments across uniform field, dipole field, and multi-magnet configurations demonstrate consistent structural tendencies: aligned moments favor distal or mid-distal solutions through constructive torque amplification, whereas opposing moments compress optimal designs toward proximal regions due to intrinsic cancellation zones.
title Enhancing Kinematic Performances of Soft Continuum Robots for Magnetic Actuation
topic Robotics
url https://arxiv.org/abs/2507.10950