在垂直跳跃中,力-速度-位置关系的数学建模
Félicie Pommerell1, Sébastien Boyas1, Abderrahmane Rahmani1
1Movement-Interactions-Performance, MIP, UR 4334, Le Mans Université, Le Mans, France.
Journal of biomechanics
|June 15, 2025
概括
结合力-速度和力-位置模型,准确地描述了垂直跳跃推开动态. 一个简单的,可解释的三参数模型有效地捕捉了用于优化体育表现的力量生产.
科学领域:
- 生物力学 生物力学
- 体育科学 运动科学 运动科学
- 人类运动分析 人类运动分析
背景情况:
- 力量-速度 (Fv) 和力量-位置 (Fp) 模型是为单关节运动建立的.
- 描述像垂直跳跃这样的多关节运动需要综合建模方法.
- 优化运动表现需要精确的模型的力量生产在动态行动.
研究的目的:
- 评估Fv和FP组合模型在描述垂直跳跃推开阶段的力产生的有效性.
- 为了比较六种不同的Fv,p模型的性能,将安德森,希尔和线性Fv模型与Cosine和Quadratic Fp模型集成在一起.
- 确定最适合在体育表现分析中实际应用的模型.
主要方法:
- 15名训练有素的CrossFit运动员在各种负载和推离深度下进行了最大的反运动跳跃.
- 在跳跃执行过程中,使用强力板记录了地面反应力.
- 六个集成的力-速度-位置 (Fv,p) 模型与实验数据相匹配.
主要成果:
- 所有六种Fv,p模型都显示出高适合性 (r2:0.8850.886) 和低RMSE (262.6266.5N).
- 在安德森,希尔和线性Fv模型中没有发现适配或描述能力的显著差异.
- 在与线性Fv模型相结合时,二次Fp模型显示出在特定情况下降低最大力 (Fmax) 偏差的潜力.
结论:
- 组合的Fv,p模型有效地描述了在垂直跳跃推开过程中产生的力.
- 一个简单的,三参数启发式模型为应用体育科学提供了生物力学和生理学相关的参数.
- 这种建模方法为优化运动员多关节运动表现提供了实际见解.
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