用数据驱动方法解析鹰飞行的动态模式,揭示其高效飞行的内在机制。
An Interpretable Data-Driven Model of the Flight Dynamics of Hawks
- 基于运动捕捉数据,用动态模态分解法提取飞行中的可解释模态结构。
- 仅需四个参数即可准确重建飞行动态,且能外推自然飞行动作。
- 发现鹰类飞行存在共性动态模式,适合生物力学与仿生飞行研究者。
尽管对鸟类飞行已有大量研究,但目前尚无生成式物理模型描述飞行动力学。然而,理解各种飞行动作背后的机制对于揭示敏捷飞行的实现方式至关重要。即使在简单的飞行中,也存在多个目标同时作用,增加了整体飞行机制分析的复杂性。利用动态模态分解(DMD)方法分析鹰的运动捕捉数据,我们发现翻翼、转向、降落和滑翔等多种行为状态可由简单的可解释模态结构(即翅膀与尾部形状)线性组合再现实验观测的飞行过程。此外,该DMD模型可用于外推自然飞行动作。飞行具有高度个体差异,但不同鹰共享一组共同的动态模态。该模型直接拟合数据,不同于传统基于物理原理构建却难以在真实数据上验证的模型,其假设常在真实飞行中不成立。DMD方法仅需三个参数表征翻翼,第四个参数整合转向动作,便能高精度重构飞行动态。进一步分析表明,飞行的底层机制类似于最简行走模型,主导模态间存在参数耦合,暗示运动效率的潜在优势。
原文摘要 · Abstract (English)
Despite significant analysis of bird flight, generative physics models for flight dynamics do not currently exist. Yet the underlying mechanisms responsible for various flight manoeuvres are important for understanding how agile flight can be accomplished. Even in a simple flight, multiple objectives are at play, complicating analysis of the overall flight mechanism. Using the data-driven method of dynamic mode decomposition (DMD) on motion capture recordings of hawks, we show that multiple behavioral states such as flapping, turning, landing, and gliding, can be modeled by simple and interpretable modal structures (i.e. the underlying wing-tail shape) which can be linearly combined to reproduce the experimental flight observations. Moreover, the DMD model can be used to extrapolate naturalistic flapping. Flight is highly individual, with differences in style across the hawks, but we find they share a common set of dynamic modes. The DMD model is a direct fit to data, unlike traditional models constructed from physics principles which can rarely be tested on real data and whose assumptions are typically invalid in real flight. The DMD approach gives a highly accurate reconstruction of the flight dynamics with only three parameters needed to characterize flapping, and a fourth to integrate turning manoeuvres. The DMD analysis further shows that the underlying mechanism of flight, much like simplest walking models, displays a parametric coupling between dominant modes suggesting efficiency for locomotion.
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