FEM-based Dynamic Modelling Framework for Flexible Continuum Manipulators

Md Modassir Firdaus, Omkar Paranjape, Madhu Vadali
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Abstract

Flexible continuum manipulators (FCM) are gaining importance because of their manoeuvrability and pliability in confined and complex spaces, where rigid link manipulators underperform. However, the dynamic behaviour and control of the FCM are quite challenging due to its complex nonlinear behaviour. In this study, a generalized finite element-based dynamic model framework is derived that accounts for the geometric non-linearities and inertial effects. An experimental setup of tendon-driven FCM, consisting of a flexible backbone, is developed to validate the model. The modal analysis of the model is in agreement with the analytical solutions, with less than 10% error. The model is also validated for various loading conditions on the tip-actuated tendon-driven FCM. The steady-state tip position predictions are within 15% of the ground truth.
基于有限元的柔性连续机械手动态建模框架
柔性连续机械手(FCM)因其在狭窄复杂空间内的机动性和柔韧性而日益受到重视,而刚性连接机械手在这些空间内的表现却不尽如人意。然而,由于其复杂的非线性行为,柔性连续机械手的动态行为和控制相当具有挑战性。在本研究中,推导出了一个基于通用有限元的动态模型框架,该框架考虑了几何非线性和惯性效应。为验证该模型,开发了一个由柔性骨架组成的腱驱动 FCM 实验装置。模型的模态分析与分析解一致,误差小于 10%。模型还针对尖端驱动的腱驱动 FCM 的各种加载条件进行了验证。稳态顶端位置预测值与地面真实值的误差在 15%以内。
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