宇航学报

宇航学报 ›› 2020, Vol. 41 ›› Issue (4): 379-388.doi: 10.3873/j.issn.1000-1328.2020.04.001

• 飞行器设计与力学 • 上一篇    下一篇

一种运载火箭时变结构模态参数辨识的确定性演化方法

余磊，刘莉，崔颖，岳振江，康杰   

  1. 1. 北京理工大学宇航学院，北京 100081; 2. 北京理工大学飞行器动力学与控制教育部重点实验室，北京 100081
  • 收稿日期:2019-03-21 修回日期:2019-07-30 出版日期:2020-04-15 发布日期:2020-04-25

A Time Varying Structure Modal Parameter Estimation Method in Deterministic Evolution for Launch Vehicle#br#

YU Lei, LIU Li, CUI Ying, YUE Zhen jiang, KANG Jie   

  1. 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
    2. Key Laboratory of Dynamics and Control of Flight Vehicle, Beijing Institute of Technology, Beijing 100081, China
  • Received:2019-03-21 Revised:2019-07-30 Online:2020-04-15 Published:2020-04-25

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摘要： 针对运载火箭的时变结构模态参数辨识问题进行研究，基于时变自回归滑动平均(TARMA)模型，提出一种时变结构模态参数辨识的确定性演化方法。该方法利用小波基函数的良好局部函数拟合能力，将墨西哥帽小波函数作为TARMA模型时变系数的空间基底，构建了基于小波函数的泛函序列时变自回归滑动平均(FS-TARMA)模型，并发展了两步最小二乘估计方法，实现了时变系数的解耦估计。通过有限单元法，建立了阿里安V号芯级运载火箭时变有限元模型，对所提辨识方法进行了验证，结果表明：墨西哥帽小波基FS-TARMA方法能够有效地辨识系统的时变模态参数；与传统傅里叶基FS-TARMA方法相比，具有更好的辨识精度，并且能够准确地反映出模态局部细节特征。

关键词: 运载火箭, 时变结构, 动力学建模, 模态参数辨识, 小波函数

Abstract: Focusing on the problems of time-varying structure modal parameter estimation for a launch vehicle, a novel time-varying structure modal parameter estimation method in deterministic evolution based on the time-varying auto- regressive moving average (TARMA) model is proposed. The method takes the advantage of a wavelet function in detail representation and uses it as the basis function of time-varying parameters in the TARMA model, and the wavelet basis based FS-TARMA model is finally established. In order to estimate the time-varying parameters in a linear manner, the two-step least square estimation method is proposed. The proposed method is verified by the core stage of Ariane V time-varying finite element model with its counterpart Fourier basis FS-TARMA method, and the comparative identification results demonstrate that the superior achievable accuracy and enhanced tracking capabilities of the Mexican wavelet basis FS-TARMA method.

Key words: Launch vehicle, Time-varying structure, Dynamic modeling, Modal parameter estimation, Wavelet function

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