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arXiv 2609.31036math.AP

基于Cosserat梁理论的蛇类运动仿生控制模型

Bio-inspired control model for snake locomotion based on Cosserat beam theory

Eliot Thys, Frédéric Boyer, Yacine Chitour, Petri Kokkonen, Vincent Lebastard, Swann Marx, Clément Moreau

AI总结:

本文基于Cosserat杆理论,从数学角度重新审视流体中蛇形运动建模,并根据约束和驱动类型推导出多个偏微分方程组。

AI中文摘要:

本文从数学角度重新审视了流体环境中蛇形躯体运动建模,如文献\\(\cite{boyer2010poincare}\\)和\\(\cite{boyer2011macrocontinuous}\\)所述。利用Cosserat杆理论,我们根据约束和驱动类型推导出多个偏微分方程组。

英文摘要:

This paper revisits from a mathematical perspective the modeling of locomotion in snake-like bodies in fluid environement as given in \cite{boyer2010poincare} and \cite{boyer2011macrocontinuous}. Using a Cosserat rod theory, we derive several systems of PDEs depending on the type of constraint and actuation.

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