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Constant Power Model in Arm Rotation A New Approach to Hill s Equation

机译:手臂旋转中的恒功率模型Hill方程的一种新方法

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摘要

The purpose of this study was to further develop the constant power model of a previous study and to provide the final solution of Hill’s force-velocity equation. Forearm and whole arm rotations of three different subjects were performed downwards (elbow and shoulder extension) and upwards (elbow and shoulder flexion) with maximum velocity. These arm rotations were recorded with a special camera system and the theoretically derived model of constant maximum power was fitted to the experimentally measured data. The moment of inertia of the arm sectors was calculated using immersion technique for determining accurate values of friction coefficients of elbow and whole arm rotations. The experiments of the present study verified the conclusions of a previous study in which theoretically derived equation with constant maximum power was in agreement with experimentally measured results. The results of the present study were compared with the mechanics of Hill’s model and a further development of Hill’s force-velocity relationship was derived: Hill’s model was transformed into a constant maximum power model consisting of three different components of power. It was concluded that there are three different states of motion: 1) the state of low speed, maximal acceleration without external load which applies to the hypothesis of constant moment; 2) the state of high speed, maximal power without external load which applies to the hypothesis of constant power and 3) the state of maximal power with external load which applies to Hill’s equation. This is a new approach to Hill’s equation.
机译:这项研究的目的是进一步开发先前研究的恒定功率模型,并提供希尔的力-速度方程式的最终解决方案。三个不同对象的前臂和全臂旋转以最大速度向下(肘部和肩膀伸直)和向上(肘部和肩膀屈曲)进行。用特殊的相机系统记录这些手臂的旋转,并将理论上得出的恒定最大功率的模型拟合到实验测量的数据中。使用浸入技术计算手臂扇区的惯性矩,以确定弯头的摩擦系数和整个手臂旋转的准确值。本研究的实验证实了先前研究的结论,在该研究中,理论推导的具有恒定最大功率的方程与实验测量结果相符。将本研究的结果与希尔模型的机理进行了比较,得出了希尔的力-速度关系的进一步发展:希尔模型被转换为由三个不同的功率分量组成的恒定最大功率模型。结论是存在三种不同的运动状态:1)低速,无外部负载的最大加速度的状态,适用于恒定力矩的假设; 2)适用于恒功率假设的高速,无外部负载的最大功率状态;以及3)适用于希尔方程的具有外部负载的最大功率状态。这是解决希尔方程式的新方法。

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