应用结构奇异值进行频域气动伺服弹性稳定性分析

PDF(780 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (1) : 5-7.

论文

应用结构奇异值进行频域气动伺服弹性稳定性分析

谷迎松，杨智春

作者信息 +

Aeroservoelastic Stability Analysis in Frequency Domain Using Structured Singular Value

Gu Ying-song , Yang Zhi-chun

Author information +

文章历史 +

摘要

基于鲁棒气动弹性分析理论，在气动伺服弹性系统中直接应用频域气动力，并引入复数速压摄动，导出了相应的μ分析框架，在此框架下应用结构奇异值理论，提出一种气动伺服弹性稳定临界点预测求解的完全频域方法。该方法既能保证系统结构奇异值的连续性，又可获得较为精确的计算结果。针对某型飞机及其偏航/滚转增稳回路构成的多输入/多输出气动伺服弹性系统的稳定性分析，采用本文方法求得的系统闭环稳定临界点与传统p-k法计算的结果吻合较好。

Abstract

Based on the robust aeroelastic theory and frequency domain unsteady aerodynamics, complex perturbation of dynamic pressure is introduced in frequency domain aeroservoelastic system to formulate the corresponding mu-analysis framework. Under this framework, structured singular value theory is applied to predict the critical stability point of the aeroservoelastic system. With complex perturbation, this frequency domain method not only guarantees the continuity of structured singular value, but also leads to a rather accurate numerical result. Numerical study is performed for an aircraft augmented with multiple-input and multiple-output (MIMO) flight control system in yaw and roll motions. The critical stability point predicted by the present method agrees well with that obtained by the conventional p-k method.

导出引用

谷迎松;杨智春. 应用结构奇异值进行频域气动伺服弹性稳定性分析[J]. 振动与冲击, 2013, 32(1): 5-7

Gu Ying-song;Yang Zhi-chun. Aeroservoelastic Stability Analysis in Frequency Domain Using Structured Singular Value[J]. Journal of Vibration and Shock, 2013, 32(1): 5-7