## 解读短道速滑运动员大幅度倾斜身体过弯的力学原理1)

*北京理工大学宇航学院, 北京 100081

## MECHANICS FOR THE HIGH-DEGREE BODY INCLINATION OF SHORT-TRACK SPEEDING SKATERS WHILE PASSING THROUGH A CURVE1)

SU Yu,*,2), LIU Zhanwei*, ZHOU Chunyan*, YU Yang*, DIAO Zhuo*, BAI Wenshuo*, WU Xia, WANG Ning

*School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

China Media Group, Beijing 100020, China

 基金资助: 1)教育部第二批新工科研究与实践项目(E-SXWLHXLX20202602)

Abstract

Short-track speeding skaters need to maintain a high degree of body inclination while passing through the curve. Such phenomenon implies rich mechanics, and it serves as a valuable case for mechanics teaching. In this work we explain the underlying mechanics for the high-degree body inclination phenomenon through kinematical and dynamical investigation. We introduced the formulae for centripetal acceleration of a mass point in uniform circular motion through the first and second Newtown's laws combined with experimental demonstrations. Based on D'Alembert's principle, an inertial force was introduced to the noninertial system which is attached to the skater. We then carried out analysis on the necessity for body inclination during the curve motion. The mathematical formula for the body inclination angle was provided. The corresponding results were verified by a mini track experiment. We discussed the related parameters which depend on the linear velocity and radius of curvature that vary with the established tactics and the real match situation. Finally, the key factors were provided for the short-track speeding skaters while passing through the curves.

Keywords： short-track speeding skating; centripetal acceleration; D'Alembert's principle; dynamics

SU Yu, LIU Zhanwei, ZHOU Chunyan, YU Yang, DIAO Zhuo, BAI Wenshuo, WU Xia, WANG Ning. MECHANICS FOR THE HIGH-DEGREE BODY INCLINATION OF SHORT-TRACK SPEEDING SKATERS WHILE PASSING THROUGH A CURVE1). Mechanics in Engineering, 2022, 44(2): 474-478 DOI:10.6052/1000-0879-22-092

## 1 运动员过弯时的运动学描述

### 图2

$a=\omega^{2}\times r$

$a=\frac{v^{2}}{r}$

$F=m\times a$

## 2 动力学分析

### 图5

$F_{{G}} =F_{x},\ \ F_{{I}}=F_{y}$

$F_{{G}} \times l_{{G}} =F_{{I}} \times l_{{I}}$

$l_{{G}} =L\times \sin\theta,\ \ l_{{I}} =L\times \cos \theta$

$\theta =\arctan (a/{g})$

## 参考文献 原文顺序 文献年度倒序 文中引用次数倒序 被引期刊影响因子

"冰与雪"亮点纷呈优势与惊喜并存——北京冬奥会中国队半程表现综述

On the foundations of analytical dynamics

International Journal of Non-Linear Mechanics, 2002, 37(6):1079-1090

Wittenburg J.

Dynamics of Systems of Rigid Bodies. Berlin:

Springer-Verlag, 2013

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