Accelerated Quasi-Static FEM for Real-Time Modeling of Continuum Robots with Multiple Contacts and Large Deformation

Fuente: arXiv
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Hauptverfasser: Chen, Hao, Chen, Jian, Liu, Xinran, Zhang, Zihui, Huang, Yuanrui, Zhang, Zhongkai, Liu, Hongbin
Format: Preprint
Veröffentlicht: 2025
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author Chen, Hao
Chen, Jian
Liu, Xinran
Zhang, Zihui
Huang, Yuanrui
Zhang, Zhongkai
Liu, Hongbin
author_facet Chen, Hao
Chen, Jian
Liu, Xinran
Zhang, Zihui
Huang, Yuanrui
Zhang, Zhongkai
Liu, Hongbin
contents Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains challenging. Current methods for solving the deformation of these robots, such as the Model Order Reduction and Gauss-Seidel (GS) methods, suffer from significant drawbacks. They experience reduced computational speed as the number of contact points increases and struggle to balance speed with model accuracy. To overcome these limitations, we introduce a novel finite element method (FEM) named Acc-FEM. Acc-FEM employs a large deformation quasi-static finite element model and integrates an accelerated solver scheme to handle multi-contact simulations efficiently. Additionally, it utilizes parallel computing with Graphics Processing Units (GPU) for real-time updates of the finite element models and collision detection. Extensive numerical experiments demonstrate that Acc-FEM significantly improves computational efficiency in modeling continuum robots with multiple contacts while achieving satisfactory accuracy, addressing the deficiencies of existing methods.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06922
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Accelerated Quasi-Static FEM for Real-Time Modeling of Continuum Robots with Multiple Contacts and Large Deformation
Chen, Hao
Chen, Jian
Liu, Xinran
Zhang, Zihui
Huang, Yuanrui
Zhang, Zhongkai
Liu, Hongbin
Robotics
Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains challenging. Current methods for solving the deformation of these robots, such as the Model Order Reduction and Gauss-Seidel (GS) methods, suffer from significant drawbacks. They experience reduced computational speed as the number of contact points increases and struggle to balance speed with model accuracy. To overcome these limitations, we introduce a novel finite element method (FEM) named Acc-FEM. Acc-FEM employs a large deformation quasi-static finite element model and integrates an accelerated solver scheme to handle multi-contact simulations efficiently. Additionally, it utilizes parallel computing with Graphics Processing Units (GPU) for real-time updates of the finite element models and collision detection. Extensive numerical experiments demonstrate that Acc-FEM significantly improves computational efficiency in modeling continuum robots with multiple contacts while achieving satisfactory accuracy, addressing the deficiencies of existing methods.
title Accelerated Quasi-Static FEM for Real-Time Modeling of Continuum Robots with Multiple Contacts and Large Deformation
topic Robotics
url https://arxiv.org/abs/2503.06922