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一种用于确定质量和质量分布对跑步过程中冲击力影响的力学模型。

A mechanical model to determine the influence of masses and mass distribution on the impact force during running.

作者信息

Liu W, Nigg B M

机构信息

The Human Performance Laboratory, Faculty of Kinesiology, The University of Calgary, Canada.

出版信息

J Biomech. 2000 Feb;33(2):219-24. doi: 10.1016/s0021-9290(99)00151-7.

Abstract

Simple spring-damper-mass models have been widely used to simulate human locomotion. However, most previous models have not accounted for the effect of non-rigid masses (wobbling masses) on impact forces. A simple mechanical model of the human body developed in this study included the upper and lower bodies with each part represented by a rigid and a wobbling mass. Spring-damper units connected different masses to represent the stiffness and damping between the upper and lower bodies, and between the rigid and wobbling masses. The simulated impact forces were comparable to experimentally measured impact forces. Trends in changes of the impact forces due to changes in touch-down velocity reported in previous studies could be reproduced with the model. Simulated results showed that the impact force peaks increased with increasing rigid or wobbling masses of the lower body. The ratio of mass distribution between the rigid and wobbling mass in the lower body was also shown to affect the impact force peak, for example, the impact force peak increased with increasing rigid contribution. The variation in the masses of upper body was shown to have a minimum effect on the impact force peak, but a great effect on the active force peak (the second peak in the ground reaction force). Future studies on the dynamics and neuro-muscular control of human running are required to take into consideration the influence of individual variation in lower body masses and mass distribution.

摘要

简单的弹簧-阻尼器-质量模型已被广泛用于模拟人类的运动。然而,大多数先前的模型并未考虑非刚性质量(晃动质量)对冲击力的影响。本研究中开发的一个简单人体力学模型包括上半身和下半身,每个部分由一个刚性质量和一个晃动质量表示。弹簧-阻尼器单元连接不同的质量,以表示上半身和下半身之间以及刚性质量和晃动质量之间的刚度和阻尼。模拟的冲击力与实验测量的冲击力相当。该模型能够重现先前研究中报道的因着地速度变化而导致的冲击力变化趋势。模拟结果表明,冲击力峰值随着下半身刚性质量或晃动质量的增加而增大。下半身刚性质量和晃动质量之间的质量分布比例也被证明会影响冲击力峰值,例如,冲击力峰值随着刚性质量占比的增加而增大。上半身质量的变化对冲击力峰值的影响最小,但对作用力峰值(地面反作用力中的第二个峰值)有很大影响。未来关于人类跑步动力学和神经肌肉控制的研究需要考虑下半身质量和质量分布的个体差异的影响。

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