流体力学与飞行力学

非定常气动力非线性微分方程建模方法

  • 龚正 ,
  • 沈宏良
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  • 南京航空航天大学 航空宇航学院, 江苏 南京 210016

收稿日期: 2010-03-30

  修回日期: 2010-05-28

  网络出版日期: 2011-01-25

Unsteady Aerodynamic Modeling Method Using Nonlinear Differential Equations

  • GONG Zheng ,
  • SHEN Hongliang
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  • College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2010-03-30

  Revised date: 2010-05-28

  Online published: 2011-01-25

摘要

为准确描述过失速机动中非定常气动力特性,研究了以非线性微分方程为基本结构的非定常气动建模方法。基于动力学系统建模思想,分析揭示该模型的物理机理,并发展和改进了基于风洞强迫振荡试验的模型参数辨识方法:基于小振幅试验数据,采用线性回归参数辨识方法辨识确定气动模型中特征时间常数等线性参数;基于大振幅试验数据,采用遗传算法全局寻优辨识气动模型中非线性项参数。以带中心体三角翼模型为例进行气动建模与验证,研究结果表明:模型可精确预测不同机动下非定常气动特性;建模方法具有较强的工程可行性。

本文引用格式

龚正 , 沈宏良 . 非定常气动力非线性微分方程建模方法[J]. 航空学报, 2011 , 32(1) : 83 -90 . DOI: CNKI:11-1929/V.20101111.0909.004

Abstract

In order to describe the unsteady aerodynamic characteristics of an aircraft in post-stall maneuvering, this article studies the unsteady aerodynamic modeling in the form of nonlinear differential equations. In view of its physical mechanism based on dynamic system modeling, the identification method using data from forced oscillation wind tunnel test is investigated. Based on data from small-amplitude experiments, the linear regression method is used to find the linear parameters such as the time constants, while genetic algorithm is used to identify the nonlinear correction terms based on data from large-amplitude experiments. Wind tunnel test with a model delta wing plus a center body are used to verify this method. The result shows that the model is able to predict the unsteady aerodynamic loads accurately in different movements, which bears proof on the practicality of the flight dynamic analysis.
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