arXiv:2410.05776cs.RO2024-10被引 3

通过能量最小化逆运动学估计假肢黏弹性,实现高精度动态模拟。

Viscoelasticity Estimation of Sports Prosthesis by Energy-minimizing Inverse Kinematics and Its Validation by Forward Dynamics

  • 基于分段常应变模型,用能量最小化方法计算假肢变形。
  • 从动作捕捉数据中解出黏弹性参数,误差低于传统方法。
  • 适合假肢设计、生物力学研究者参考,提升运动仿真真实性。

本研究提出一种基于分段常应变(PCS)模型的能量最小化逆运动学方法,用于估计叶片式运动假肢的黏弹性特性,并重建其三维动态行为。针对假肢三维变形与黏弹性分析长期缺乏有效手段的问题,该方法在低计算成本下实现了对柔性变形的准确建模,同时通过考虑材料属性的逆运动学求解,确保了物理合理性。进一步地,利用测量的动作捕捉数据,通过二次规划求解黏弹性参数。计算所得应变分布更合理,优于传统逆运动学结果。通过前向动力学仿真验证,所获假肢运动与实测运动高度吻合,表明该方法能有效刻画假肢的动态特性,包括黏弹性效应。

原文摘要 · Abstract (English)

In this study, we present a method for estimating the viscoelasticity of a leaf-spring sports prosthesis using advanced energy minimizing inverse kinematics based on the Piece-wise Constant Strain (PCS) model to reconstruct the three-dimensional dynamic behavior. Dynamic motion analysis of the athlete and prosthesis is important to clarify the effect of prosthesis characteristics on foot function. However, three-dimensional deformation calculations of the prosthesis and viscoelasticity have rarely been investigated. In this letter, we apply the PCS model to a prosthesis deformation, which can calculate flexible deformation with low computational cost and handle kinematics and dynamics. In addition, we propose an inverse kinematics calculation method that is consistent with the material properties of the prosthesis by considering the minimization of elastic energy. Furthermore, we propose a method to estimate the viscoelasticity by solving a quadratic programming based on the measured motion capture data. The calculated strains are more reasonable than the results obtained by conventional inverse kinematics calculation. From the result of the viscoelasticity estimation, we simulate the prosthetic motion by forward dynamics calculation and confirm that this result corresponds to the measured motion. These results indicate that our approach adequately models the dynamic phenomena, including the viscoelasticity of the prosthesis.

假肢仿真黏弹性逆运动学

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