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通过单个测力台确定双足站立练习中每只脚的地面反作用力值和作用位置。

Determining the Ground Reaction Force Value and Location for Each Foot During Bipedal Stance Exercises from a Single Forceplate.

作者信息

Schmedling Adrián, Macho Erik, Campa Francisco J, Valenzuela Ruben, Diez Mikel, Corral Javier, Diego Paul, Herrero Saioa, Pinto Charles

机构信息

Bilbao School of Engineering, University of the Basque Country UPV/EHU, Plaza Ingeniero Torres Quevedo 1, 48013 Bilbao, Spain.

出版信息

Sensors (Basel). 2025 Aug 4;25(15):4796. doi: 10.3390/s25154796.

Abstract

In the study of biomechanical models, balance represents a complex problem due to the issue of indeterminate forces while standing. In order to solve this problem, it is essential to measure the ground reaction forces (GRFs) applied to each foot independently. The present work proposes a methodology for determining the independent GRF applied to each foot while standing when only one forceplate is available. For this purpose, an analytical method is proposed to determine the distribution of vertical GRFs and the position of the independent center of pressure (CoP) in each foot. Concurrently, several neural network (NN) models are trained to improve the results obtained. This hypothesis is experimentally validated by a self-developed device that allows one to simultaneously obtain the vertical GRF and CoP location of each foot at the same time that the GRF and the global CoP location are obtained from a single forceplate. The results obtained achieve a CoP position error of less than 8% and a vertical force error of 2%. The analytical hypothesis is demonstrated to offer a satisfactory level of precision, while the NN is shown to result in considerable improvement in some cases.

摘要

在生物力学模型研究中,由于站立时力的不确定性问题,平衡是一个复杂的难题。为了解决这个问题,独立测量施加在每只脚上的地面反作用力(GRF)至关重要。本研究提出了一种方法,用于在仅有一个测力台的情况下确定站立时施加在每只脚上的独立GRF。为此,提出了一种分析方法来确定垂直GRF的分布以及每只脚独立压力中心(CoP)的位置。同时,训练了几个神经网络(NN)模型以改进所得结果。该假设通过自行开发的设备进行了实验验证,该设备能够在从单个测力台获取GRF和全局CoP位置的同时,同步获取每只脚的垂直GRF和CoP位置。所得结果的CoP位置误差小于8%,垂直力误差为2%。分析假设显示出令人满意的精度水平,而NN在某些情况下则带来了显著的改进。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b0d0/12349061/422a6ec865a4/sensors-25-04796-g0A1.jpg

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