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首页> 外文期刊>Journal of the American Helicopter Society >Linear Time Invariant Approximations of Linear Time Periodic Systems
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Linear Time Invariant Approximations of Linear Time Periodic Systems

机译：线性时间周期系统的线性时间不变逼近

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Several methods for analysis of linear time periodic (LTP) systems have successfully been demonstrated using harmonic decompositions. Onemethod recently examined is to create a linear time invariant (LTI) model approximation by expansion of the LTP system states into various harmonic state representations, and formulating corresponding LTI models. Although this method has shown success, it relies on a second-order formulation of the original LTP system. This second-order formulation can prove problematic for degrees of freedom not explicitly represented in second-order form. Specifically, difficulties arise when performing the harmonic decomposition of body and inflow states as well as interpretation of LTI velocities. Instead this paper presents a more generalized LTI formulation using a first-order formulation for harmonic decomposition. The new first-order approach is evaluated for a UH-60A rotorcraft model and is used to show the significance of particular harmonic terms, specifically that the coupling of harmonic components of body and inflow states with the rotor states makes a significant contribution to LTI model fidelity in the prediction of vibratory hub loads.
机译：使用谐波分解已成功证明了几种分析线性时间周期（LTP）系统的方法。最近研究的一种方法是通过将LTP系统状态扩展为各种谐波状态表示来创建线性时不变（LTI）模型近似值，并制定相应的LTI模型。尽管此方法已显示出成功，但它依赖于原始LTP系统的二阶公式。对于没有明确表示为二阶形式的自由度，此二阶公式可能会带来问题。具体而言，在进行人体和入流状态的谐波分解以及LTI速度的解释时会遇到困难。相反，本文提出了使用一阶公式进行谐波分解的更通用的LTI公式。对UH-60A旋翼飞机模型评估了新的一阶方法，该方法用于显示特定谐波项的重要性，特别是本体和流入状态的谐波分量与旋翼状态的耦合为LTI模型做出了重要贡献预测轮毂载荷时的保真度。

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