北京航空航天大学学报 ›› 2021, Vol. 47 ›› Issue (1): 140-149.doi: 10.13700/j.bh.1001-5965.2019.0655

• 论文 • 上一篇    下一篇

含间隙非线性二元翼段的系统辨识

孙玉凯, 杨超, 吴志刚   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100083
  • 收稿日期:2019-12-31 发布日期:2021-01-29
  • 通讯作者: 吴志刚 E-mail:wuzhigang@buaa.edu.cn
  • 作者简介:孙玉凯,男,博士研究生。主要研究方向:气动弹性力学与主动控制;杨超,男,博士,教授,博士生导师。主要研究方向:气动弹性力学与主动控制;吴志刚,男,博士,副教授,博士生导师。主要研究方向:气动弹性力学与主动控制。

System identification of a 2-DOF wing section with freeplay nonlinearity

SUN Yukai, YANG Chao, WU Zhigang   

  1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100083, China
  • Received:2019-12-31 Published:2021-01-29

摘要: 在实际包含间隙非线性的复杂结构中,由于间隙不易或无法测量,难以建立准确描述结构特性的动力学模型;即使间隙得到准确测量,也难以获得结构的标称线性系统的模态参数。为此,利用条件逆谱法和时域非线性子空间法,通过非线性系统辨识获得间隙非线性系数,同时获得非线性结构的标称线性系统的频响函数。以一个包含间隙非线性的二元翼段为例,通过数值方法模拟该二元翼段的地面振动试验,利用条件逆谱法和时域非线性子空间法开展该结构的非线性系统辨识。结果表明:两种方法均可准确地辨识结构的标称线性系统,条件逆谱法利用光滑函数近似,时域非线性子空间法利用多个分段线性函数重构,辨识得到间隙非线性系数。

关键词: 间隙非线性, 子空间辨识, 非线性翼段, 系统辨识, 条件逆谱法

Abstract: On one hand, it is difficult to establish an accurate dynamical model description reflecting structural characteristics of a real-world complex structure with freeplay nonlinearity because of the inconvenience or impossibility of measuring the gap. On the other hand, even though the freeplay has been estimated, the modal parameters of the nominal linear system of the structure are still out of reach. Therefore, in this paper, nonlinear system identification was performed by the usage of conditioned reverse path method and time-domain nonlinear subspace identification method to obtain the parameters of freeplay nonlinearity as well as the frequency response function of the nominal linear system of the nonlinear structure. A 2-DOF wing section was chosen as a demonstration, on which the numerical experiments of ground vibration tests were performed. Nonlinear system identification was carried out by applying the conditioned reverse path method and time-domain nonlinear subspace identification method. Consequently, the nominal linear system can be accurately estimated by both methods, and the identified parameters of freeplay nonlinearity can also be obtained by smooth function approximation in conditioned reverse path method and by reconstruction via a series of piecewise linear functions in time-domain nonlinear subspace identification method.

Key words: freeplay nonlinearity, subspace identification, nonlinear wing section, system identification, conditioned reverse path method

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