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Three-Rigid-Body-Particle Modeling and Optimization of Trajectory and Posture for Alpine Skiing

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Abstract

This paper presents a new study on modeling and optimization of trajectory and posture for the super-giant (SG) slalom of alpine skiing. It is the first time that a Three-Rigid-Body-Particle model based on rigorous derivations and stability analysis is established to represent skiers trajectory and posture characteristics, as it is more accurate than the single-rigid-body model which is commonly used in existing studies. In addition, the Radau pseudospectral method is applied to solve the trajectory and posture optimization problem in order to obtain better skiing trajectory, skiing posture, and some key kinematic parameters of skiers. Moreover, this paper analyzes the effects of different body types, minimum turning radii, and flexor and extensor strength of knees and hip joint on skiing performance. Finally, based on the findings of the study, some advice about how to improve the performance of the SG slalom in view of science and technology is given to skiers and coaches for reference.

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Authors and Affiliations

  1. School of Automation, Beijing Institute of Technology, Beijing, 100081, China

    Yijia Zhang, Qing Fei, Xiaolan Yao, Jian Sun, Yanjun Zhang & Zhen Chen

Authors
  1. Yijia Zhang
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  2. Qing Fei
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  3. Xiaolan Yao
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  4. Jian Sun
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  5. Yanjun Zhang
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  6. Zhen Chen
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Corresponding author

Correspondence to Qing Fei.

Ethics declarations

SUN Jian is an editorial board member and ZHANG Yanjun is a youth editorial board for Journal of System Science & Complexity and was not involved in the editorial review or the decision to publish this article. All authors declare that there are no competing interests.

Additional information

This research was supported in part by the Key Technology Research and Demonstration of National Scientific Training Base Construction of China under Grant No. 2018YFF0300800, in part by the National Natural Science Foundation of China under Grant No. 62173323, and in part by Beijing Institute of Technology Research Fund Program for Young Scholars.

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Zhang, Y., Fei, Q., Yao, X. et al. Three-Rigid-Body-Particle Modeling and Optimization of Trajectory and Posture for Alpine Skiing. J Syst Sci Complex 37, 581–608 (2024). https://doi.org/10.1007/s11424-024-3021-7

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  • DOI: https://doi.org/10.1007/s11424-024-3021-7

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