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Robust aeroservoelastic stability margin analysis using the structured singular value

机译:基于结构奇异值的鲁棒航空弹性稳定裕度分析

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A new framework based on structured singular value (μ) analysis is introduced to evaluate the robust stability margin of an SISO aeroservoelastic system with the structural and actuator uncertainties considered. The essential of the proposed method is to extend the nominal gain margin concept based on open-loop analysis to robust stability margin by introducing an extra uncertainty. This newly developed stability margin framework is performed on a large aspect ratio wing model with GVT data to evaluate the considered uncertainties. Three main results are obtained from the current work: (1) The measurement of robust stability margin, compatible with the classical nominal margin evaluation, is practical to associate the nominal aeroservoelastic system and the perturbed one. (2)The results show that the aircraft may go critically unstable with only 0.9% frequency variations, though gain margin of the nominal aeroservoelastic system exceeds 6dB. (3) The sensitivity of gain margin is defined and calculated numerically to decide the most important uncertainties affecting the stability margin. The result shows that the damping ratio of the elastic structure can be omitted to save computation time of μ because of its relative small sensitivity.
机译:引入了一种基于结构奇异值(μ)分析的新框架,以在考虑结构和致动器不确定性的情况下评估SISO航空弹性系统的鲁棒稳定性裕度。提出的方法的本质是通过引入额外的不确定性将基于开环分析的标称增益裕度概念扩展到鲁棒的稳定性裕度。这个新开发的稳定性裕度框架是在具有GVT数据的大纵横比机翼模型上执行的,以评估所考虑的不确定性。从当前的工作中获得了三个主要结果:(1)鲁棒稳定裕度的测量与经典的名义裕度评估相兼容,对于将名义航空弹性系统和扰动的名义系统相联系是可行的。 (2)结果表明,尽管标称航空弹性系统的增益裕度超过6dB,但飞机的临界不稳定状态仅会发生0.9%的频率变化。 (3)定义和数值计算增益裕度的敏感性,以决定影响稳定裕度的最重要的不确定性。结果表明,由于其相对较小的灵敏度,可以省略弹性结构的阻尼比以节省计算时间。

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