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人体行走过程中势能与动能之间的相位差。

The phase shift between potential and kinetic energy in human walking.

机构信息

Department of Pathophysiology and Transplantation, University of Milan, Via Luigi Mangiagalli 32, 20133 Milano, Italy

出版信息

J Exp Biol. 2020 Nov 12;223(Pt 21):jeb232645. doi: 10.1242/jeb.232645.

Abstract

It is known that mechanical work to sustain walking is reduced, owing to a transfer of gravitational potential energy into kinetic energy, as in a pendulum. The factors affecting this transfer are unclear. In particular, the phase relationship between potential and kinetic energy curves of the center of mass is not known. In this study, we measured this relationship. The normalized time intervals α, between the maximum kinetic energy in the sagittal plane () and the minimum gravitational potential energy (), and β, between the minimum and the maximum , were measured during walking at various speeds (0.5-2.5 m s). In our group of subjects, α=β at 1.6 m s, indicating that, at this speed, the time difference between and extremes is the same at the top and the bottom of the trajectory of the center of mass. It turns out that, at the same speed, the work done to lift the center of mass equals the work to accelerate it forwards, the - energy transfer approaches a maximum and the mass-specific external work per unit distance approaches a minimum.

摘要

众所周知,由于重力势能向动能的转移,步行时的机械功会减少,就像钟摆一样。但这种转移的影响因素尚不清楚。特别是,质心的势能和动能曲线之间的相位关系尚不清楚。在这项研究中,我们测量了这种关系。在不同速度(0.5-2.5 m/s)下行走时,测量了矢状面中最大动能()和最小重力势能()之间的归一化时间间隔α,以及最小和最大之间的归一化时间间隔β。在我们的受试者组中,α=β 在 1.6 m/s 时,这表明在这个速度下,质心轨迹的顶部和底部之间的时间差相同。事实证明,在相同的速度下,提升质心所做的功等于向前加速它所做的功,-能量转移接近最大值,单位距离的质量特异性外部功接近最小值。

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