Hnat Sandra K, van den Bogert Antonie J
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115, USA.
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115, USA.
J Biomech. 2014 Nov 28;47(15):3758-61. doi: 10.1016/j.jbiomech.2014.10.014. Epub 2014 Oct 23.
Instrumented treadmills provide a convenient means for applying horizontal perturbations during gait or standing. However, varying the treadmill belt speed introduces inertial artifacts in the sagittal plane moment component of the ground reaction force. Here we present a compensation method based on a second-order dynamic model that predicts inertial pitch moment from belt acceleration. The method was tested experimentally on an unloaded treadmill at a slow belt speed with small random variations (1.20±0.10m/s) and at a faster belt speed with large random variations (2.00±0.50m/s). Inertial artifacts of up to 12Nm (root-mean-square, RMS) and 30Nm (peak) were observed. Coefficients of the model were calibrated on one trial and then used to predict and compensate the pitch moment of another trial with different random variations. Coefficients of determination (R(2)) were 72.08% and 96.75% for the slow and fast conditions, respectively. After compensation, the root-mean-square (RMS) of the inertial artifact was reduced by 47.37% for the slow speed and 81.98% for fast speed, leaving only 1.5Nm and 2.1Nm of artifact uncorrected, respectively. It was concluded that the compensation technique reduced inertial errors substantially, thereby improving the accuracy in joint moment calculations on an instrumented treadmill with varying belt speed.
仪器化跑步机为在步态或站立过程中施加水平扰动提供了一种便捷的方式。然而,改变跑步机皮带速度会在地面反作用力的矢状面力矩分量中引入惯性伪影。在此,我们提出一种基于二阶动态模型的补偿方法,该模型可根据皮带加速度预测惯性俯仰力矩。该方法在空载跑步机上进行了实验测试,皮带速度较慢且随机变化较小(1.20±0.10米/秒)以及皮带速度较快且随机变化较大(2.00±0.50米/秒)的情况下。观察到高达12牛米(均方根,RMS)和30牛米(峰值)的惯性伪影。在一次试验中对模型系数进行校准,然后用于预测和补偿另一次具有不同随机变化的试验的俯仰力矩。慢速和快速条件下的决定系数(R²)分别为72.08%和96.75%。补偿后,慢速时惯性伪影的均方根(RMS)降低了47.37%,快速时降低了81.98%,分别仅留下1.5牛米和2.1牛米的未校正伪影。得出的结论是,该补偿技术大幅降低了惯性误差,从而提高了在皮带速度变化的仪器化跑步机上进行关节力矩计算的准确性。