间隙非线性气动弹性系统的辨识

固体力学与飞行器总体设计

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间隙非线性气动弹性系统的辨识

李治涛, 韩景龙

南京航空航天大学机械结构强度与振动国家重点实验室, 江苏南京 210016

收稿日期:2011-11-17 修回日期:2012-01-15 出版日期:2012-11-25 发布日期:2012-11-22
通讯作者: 韩景龙 E-mail:hjlae@nuaa.edu.cn
基金资助:
国家自然科学基金(10872089);高等学校博士学科点专项科研基金(20113218110002)

Identification of a Nonlinear Aeroelastic System with Freeplay

LI Zhitao, HAN Jinglong

State Key Laboratory of Mechanics and Control for Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2011-11-17 Revised:2012-01-15 Online:2012-11-25 Published:2012-11-22
Supported by:
National Natural Science Foundation of China (10872089); Research Fund for the Doctoral Program of Higher Education (20113218110002)

摘要/Abstract

摘要： 间隙非线性气动弹性系统有非常丰富的动力学特征。由于工程实际中间隙不易准确测量甚至无法测量,通常需要通过辨识来建立其数学模型,其中间隙开关点位置是辨识问题中的难点。本文利用间隙开关点将间隙非线性系统区分为3个线性子系统,用Hammerstein模型表示其非线性部分,构造了开关点的迭代序列;并采用非迭代和迭代相结合的方法进行求解,从而成功获得包含间隙开关点在内的该系统所有模型参数;以间隙非线性的二元翼段为例,验证了该辨识方法的有效性。

关键词: 气动弹性, 间隙非线性, 系统辨识, Hammerstein模型, 开关点

Abstract: There exist very rich dynamic features in a nonlinear aeroelastic system with freeplay. Since freeplay is no cinch to be correctly measured or just cannot be measured in engineering practice, a mathematic model of the system usually needs to be constructed by identification, in which the locations of the switching points are difficult to identify. In this paper a nonlinear aeroelastic system with freeplay is divided into three linear subsystems by using the switching points of the freeplay. Its nonlinear part is represented by a Hammerstein model. The iterative sequence of the switching points is structured, and solved by a method synthesized of the non-iterative and iterative algorithms. Then all model parameters of the system including the switching points of the freeplay are successfully obtained. The identification method is proved effective by an example of a two-dimensional airfoil with freeplay.

Key words: aeroelasticity, freeplay nonlinearity, system identification, Hammerstein model, switching point

中图分类号:

V211.47

李治涛, 韩景龙. 间隙非线性气动弹性系统的辨识[J]. 航空学报, 2012, 33(11): 2002-2009.

LI Zhitao, HAN Jinglong. Identification of a Nonlinear Aeroelastic System with Freeplay[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(11): 2002-2009.

参考文献

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间隙非线性气动弹性系统的辨识

Identification of a Nonlinear Aeroelastic System with Freeplay

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