应用数学模型计算跑步时地面对人体的冲击力

doi:10.19677/j.issn.1004-7964.2023.03.012

皮革科学与工程 ›› 2023, Vol. 33 ›› Issue (3): 65-72.doi: 10.19677/j.issn.1004-7964.2023.03.012

应用数学模型计算跑步时地面对人体的冲击力

李长振¹, 王震^2,*, 汤运启³, 李俊^4,*

1.广州城市职业学院,广东广州 440111;
2.广东青年职业学院,广东广州 510550;
3.陕西科技大学设计与艺术学院,陕西西安 710021;
4.无锡太湖学院,江苏无锡 214064

收稿日期:2022-07-19 出版日期:2023-06-01 上线日期:2023-05-17
通讯作者: *王震（1980-）,男,博士,副教授,研究方向：运动与神经肌肉控制。E-mail: wangzhen1980.89@163.com;李俊（1994-）,男,博士研究生,研究方向：运动生物力学。E-mail:1249266424@qq.com。
作者简介:李长振（1985-）,男,硕士,讲师,研究方向：运动穿戴设备。E-mail: lichangzhenno1@163.com。
基金资助:
广东省哲学社会科学规划项目（GD20CTY08）; 广东省教育科学“十三五”规划项目（2020GXJK516）; 广东省 “攀登计划”专项资金（pdjh2022b0896）

Applying of Mathematical Models to Calculate the Impact Force of Ground on Human Body During Running

LI Changzhen¹, WANG Zhen^2,*, TANG Yunqi³, LI Jun^4,*

1. Guangzhou City Polytechnic, Guangzhou 440111, China;
2. GuangDong Youth Vocational College, Guangzhou 510550, China;
3. College of Design and Art, Shaanxi University of Science & Technology, Xi'an 710021, China;
4. Wuxi Taihu University, Wuxi 214064, China

Received:2022-07-19 Online:2023-06-01 Published:2023-05-17

摘要/Abstract

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。

关键词: LNLN改良模型, 地面刚度, 冲击力, 跑鞋性能

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.

Key words: LNLN modified model, ground stiffness, impact force, performance of running shoes

中图分类号:

TS943.1

李长振, 王震, 汤运启, 李俊. 应用数学模型计算跑步时地面对人体的冲击力[J]. 皮革科学与工程, 2023, 33(3): 65-72.

LI Changzhen, WANG Zhen, TANG Yunqi, LI Jun. Applying of Mathematical Models to Calculate the Impact Force of Ground on Human Body During Running[J]. Leather Science and Engineering, 2023, 33(3): 65-72.

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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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