应用数学模型计算跑步时地面对人体的冲击力
Applying of Mathematical Models to Calculate the Impact Force of Ground on Human Body During Running
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摘要: 基于Zadpoor和Nikooyan等人改良的Liu和Nigg模型(简称LNZN模型)进行改良,改良的是双质量—弹簧—阻尼模型,探讨鞋的性能和地面刚度对冲击力的影响。LNLN模型未考虑鞋和地面的性能,因此,对LNLN模型改良,用双层质量—弹簧—阻尼模型计算跑步时的冲击力,第一层是鞋底,第二层是地面。利用地面刚度、鞋底性能构建运动学方程计算跑步的冲击力。计算表明,地面反作用力与鞋的缓冲力,负载率和被动力峰值水平,模型计算结果与实验结果基本一致,这说明改良模型是成功的可用于计算跑步时地面对人体的冲击力。Abstract: Based on LNZN model, the modified model was a two-mass-spring-damping model based on LNZN model.The influence of shoe performance and ground stiffness on impact force is discussed.The performances of shoes and floors were not considered in the LNLN model. Therefore, in this study, the LNLN model was modified to calculate the impact force during running with a two-layer mass-spring-damping model. The first layer was the sole and the second layer was the ground. According to the ground rigidity and shoe sole performance, the equation of motion was established and the running impact force was calculated. The calculation results showed that the ground reaction force was consistent with the cushioning force of shoes, and the calculation results of modified model were consistent with the experimental results. Besides, the calculation results of load rate and peak dynamic value of model were basically consistent with the experimental results, which indicate that the modified model is successful and can be used to calculate the impact of the ground on the human body during running.