Panday Siddhartha Bikram, Pathak Prabhat, Ahn Jooeun
Division of Sports Industry and Science, Hanyang University, Republic of Korea.
Department of Art and Sportainment, Hanyang University, Republic of Korea.
Heliyon. 2024 Jul 16;10(14):e34707. doi: 10.1016/j.heliyon.2024.e34707. eCollection 2024 Jul 30.
Successful performance in long distance race requires both high efficiency and stability. Previous research has demonstrated the high running efficiency of trained runners, but no prior study quantitatively addressed their orbital stability. In this study, we evaluated the efficiency and orbital stability of 8 professional long-distance runners and compared them with those of 8 novices. We calculated the cost of transport and normalized mechanical energy to assess physiological and mechanical running efficiency, respectively. We quantified orbital stability using Floquet Multipliers, which assess how fast a system converges to a limit cycle under perturbations. Our results show that professional runners run with significantly higher physiological and mechanical efficiency but with weaker orbital stability compared to novices. This finding is consistent with the inevitable trade-off between efficiency and stability; increase in orbital stability necessitates increase in energy dissipation. We suggest that professional runners have developed the ability to exploit inertia beneficially, enabling them to achieve higher efficiency partly at the cost of sacrificing orbital stability.
在长跑比赛中取得成功需要高效和稳定。先前的研究已经证明了训练有素的跑步者具有较高的跑步效率,但之前没有研究定量地探讨过他们的轨道稳定性。在本研究中,我们评估了8名职业长跑运动员的效率和轨道稳定性,并将他们与8名新手进行了比较。我们分别计算了运输成本和归一化机械能,以评估生理和机械跑步效率。我们使用弗洛凯乘数来量化轨道稳定性,该乘数评估系统在受到扰动时收敛到极限环的速度。我们的结果表明,与新手相比,职业跑步者的生理和机械效率显著更高,但轨道稳定性较弱。这一发现与效率和稳定性之间不可避免的权衡一致;轨道稳定性的增加需要能量耗散的增加。我们认为,职业跑步者已经发展出了有益地利用惯性的能力,使他们能够部分地以牺牲轨道稳定性为代价来实现更高的效率。