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弹簧-质量模型与跑步机跑步的能量消耗

The spring-mass model and the energy cost of treadmill running.

作者信息

Dalleau G, Belli A, Bourdin M, Lacour J R

机构信息

Laboratoire de Physiologie-Groupement d'Iutérît Public Exercise, Faculté de Médecine Lyon-Sud, Oullins, France.

出版信息

Eur J Appl Physiol Occup Physiol. 1998 Feb;77(3):257-63. doi: 10.1007/s004210050330.

DOI:10.1007/s004210050330
PMID:9535587
Abstract

During running, the behaviour of the support leg was studied by modelling the runner using an oscillating system composed of a spring (the leg) and of a mass (the body mass). This model was applied to eight middle-distance runners running on a level treadmill at a velocity corresponding to 90% of their maximal aerobic velocity [mean 5.10 (SD 0.33) m x s(-1)]. Their energy cost of running (Cr). was determined from the measurement of O2 consumption. The work, the stiffness and the resonant frequency of both legs were computed from measurements performed with a kinematic arm. The Cr was significantly related to the stiffness (P < 0.05, r=-0.80) and the absolute difference between the resonant frequency and the step frequency (P < 0.05, r=0.79) computed for the leg producing the highest positive work. Neither of these significant relationships were obtained when analysing data from the other leg probably because of the work asymmetry observed between legs. It was concluded that the spring-mass model is a good approach further to understand mechanisms underlying the interindividual differences in Cr.

摘要

在跑步过程中,通过使用一个由弹簧(腿部)和质量块(身体质量)组成的振荡系统对跑步者进行建模,来研究支撑腿的行为。该模型应用于八名中长跑运动员,他们在水平跑步机上以相当于其最大有氧速度90%的速度跑步[平均5.10(标准差0.33)米×秒⁻¹]。他们的跑步能量消耗(Cr)通过测量氧气消耗量来确定。双腿的功、刚度和共振频率通过使用运动臂进行的测量来计算。Cr与刚度显著相关(P < 0.05,r = -0.80),以及与产生最高正向功的腿计算出的共振频率和步频之间的绝对差值显著相关(P < 0.05,r = 0.79)。分析另一条腿的数据时未得到这些显著关系,可能是因为观察到双腿之间的功不对称。得出的结论是,弹簧 - 质量模型是进一步理解Cr个体差异背后机制的一种好方法。

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