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一种用于分解步行步态中来自单个测力平台的地面反作用力和力矩的算法。

An algorithm to decompose ground reaction forces and moments from a single force platform in walking gait.

作者信息

Villeger David, Costes Antony, Watier Bruno, Moretto Pierre

机构信息

University of Toulouse, UPS, PRISSMH, 118 route de Narbonne, F-31062 Toulouse Cedex 9, France.

University of Toulouse, UPS, PRISSMH, 118 route de Narbonne, F-31062 Toulouse Cedex 9, France.

出版信息

Med Eng Phys. 2014 Nov;36(11):1530-5. doi: 10.1016/j.medengphy.2014.08.002. Epub 2014 Sep 16.

Abstract

In walking experimental conditions, subjects are sometimes unable to perform two steps on two different forceplates. This leads the authors to develop methods for discerning right and left ground reaction data while they are summed during the double support in walking. The aim of this study is to propose an adaptive transition function that considers the walking speed and ground reaction forces (GRF). A transition function is used to estimate left and right side GRF signals in double support. It includes a shape coefficient adjusted using single support GRF parameters. This shape coefficient is optimized by a non-linear least-square curve-fitting procedure to match the estimated signals with real GRF. A multiple regression is then performed to identify GRF parameters of major importance selected to compute the right and left GRF of the double support. Relative RMSE (RMSER), maximum GRF differences normalized to body mass and differences of center of pressure (CoP) are computed between real and decomposed signals. During double support, RMSER are 6%, 18%, 3.8%, 4.3%, 3%, and 12.3% for anterior force, lateral force, vertical force, frontal moment, sagittal moment and transverse moment, respectively. Maximum GRF differences normalized to body mass are lower than 1N/kg and mean CoP difference is 0.0135 m, when comparing real to decomposed signals during double support. This work shows the accuracy of an adaptive transition function to decompose GRF and moment of right and left sides. This method is especially useful to accurately discern right and left GRF data in single force platform configurations.

摘要

在步行实验条件下,受试者有时无法在两个不同的测力板上完成两步动作。这促使作者开发出一些方法,以便在步行的双支撑阶段左右地面反力数据相加时辨别左右数据。本研究的目的是提出一种考虑步行速度和地面反力(GRF)的自适应过渡函数。过渡函数用于估计双支撑阶段左右两侧的GRF信号。它包括一个使用单支撑GRF参数进行调整的形状系数。通过非线性最小二乘曲线拟合程序对该形状系数进行优化,以使估计信号与实际GRF相匹配。然后进行多元回归,以确定用于计算双支撑阶段左右GRF的最重要的GRF参数。计算实际信号与分解信号之间的相对均方根误差(RMSER)、归一化至体重的最大GRF差值以及压力中心(CoP)差值。在双支撑阶段,前向力、侧向力、垂直力、额向力矩、矢状面力矩和横向力矩的RMSER分别为6%、18%、3.8%、4.3%、3%和12.3%。在双支撑阶段比较实际信号与分解信号时,归一化至体重的最大GRF差值低于1N/kg,平均CoP差值为0.0135m。这项工作表明了一种自适应过渡函数在分解左右两侧GRF和力矩方面的准确性。该方法对于在单测力平台配置中准确辨别左右GRF数据特别有用。

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