航空学报 > 2007, Vol. 28 Issue (增): 81-86

3种气动弹性状态空间建模方法的对比

宋晨,杨超,吴志刚   

  1. 北京航空航天大学 航空科学与工程学院
  • 收稿日期:2006-10-25 修回日期:2007-06-29 出版日期:2007-08-10 发布日期:2007-08-10
  • 通讯作者: 宋晨

Comparison of Three Aeroelastic Statespace Modeling Methods

SONG  Chen,YANG Chao,WU Zhi-gang   

  1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics
  • Received:2006-10-25 Revised:2007-06-29 Online:2007-08-10 Published:2007-08-10
  • Contact: SONG Chen

摘要:

研究气动弹性状态空间建模的3种常用方法:最小二乘(LS)法、最小状态(MS)法和拟合状态空间(MA)法。用2个算例从颤振和频响特性角度分析和总结了它们的建模特点。在气动力有理函数拟合建模方法(LS法、MS法)研究中,着重分析滞后根的影响;在MA法的研究中,讨论了建模的特点。最后,系统对比了3种建模方法的建模效果及使用原则,〖JP2〗为这些方法的工程应用提供参考。仿真计算结果表明,MS法建立的模型阶数低、精度适中且使用方便,是比较好的方法,而MA法建立的模型频响特性与参考结果最为接近。

关键词: 气动弹性, 气动伺服弹性, 非定常气动力, 颤振, 状态空间方程

Abstract:

Three methods used for aeroelastic state-space modeling are discussed in this paper. They are least square (LS) method, minimumstate (MS) method and fit state-space approximation (MA) method. The modeling characters of these methods are analyzed and summarized through two models, according to flutter and response of frequency respectively. In the research of rational function approximation methods (LS and MS methods) on aerodynamic forces, the effects of lag root are highly analyzed.

Key words: aeroelasticity,  , aeroservoelasticity,  , unsteady , aerodynamics,  , flutter,  , state , space , equation

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