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A Unified Assessment of Fast Floquet, Generalized Floquet, and Periodic Eigenvector Methods for Rotorcraft Stability Predictions

机译：旋翼航空器稳定性预测的快速浮球，广义浮球和周期特征向量方法的统一评估

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摘要

This paper presents a unified assessment of fast Floquet, generalized Floquet, and generalized fast Floquet theories, as alternatives to Floquet theory, in predicting rotorcraft stability. For a rotor with Q identical blades, fast Floquet reduces 12-fold the computing time as well as frequency indeterminacy of Floquet theory; so is the case between generalized Floquet and generalized fast Floquet theories. (Both Floquet and fast Floquet theories require complete state-space modeling, whereas the other two permit incomplete state-space modeling.) This assessment includes how the mode identification from Fourier series analysis of periodic eigenvectors lends itself well to large systems, say with about 400 states. Other key features include extension of earlier proposed Floquet mode identification to fast Floquet theory and correlation of identified modes with test data, which include ground resonance and mode-to-mode similarity. In combination with Fourier analysis of periodic eigenvectors, fast Floquet theory provides a practical means of exactly identifying the modes and predicting the stability margins of large systems.
机译：本文提出了快速浮球，广义浮球和广义快速浮球理论的统一评估方法，作为浮球理论的替代品，用于预测旋翼航空器的稳定性。对于具有相同叶片Q的转子，快速Floquet可以将Floquet理论的计算时间以及频率不确定性减少12倍；广义Floquet理论和广义快速Floquet理论之间的情况也是如此。 （Floquet理论和Fast Floquet理论都需要完整的状态空间建模，而另两个理论都需要不完整的状态空间建模。）此评估包括周期性特征向量的傅里叶级数分析中的模式识别如何很好地适用于大型系统，例如400个州。其他关键功能包括将较早提出的Floquet模式识别扩展到快速Floquet理论，并将识别出的模式与测试数据相关，包括地面共振和模式间相似性。结合周期性特征向量的傅立叶分析，快速Floquet理论提供了一种精确识别模式并预测大型系统稳定裕度的实用方法。

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  • 来源
    《Journal of the American Helicopter Society》 |2013年第4期|042002.1-042002.12|共12页
  • 作者

    Ranjith Mohan; Gopal H. Gaonkar;

  • 作者单位

    Department of Ocean and Mechanical Engineering, Florida Atlantic University Boca Raton, FL;

    Department of Ocean and Mechanical Engineering, Florida Atlantic University Boca Raton, FL;

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