基于区间B样条小波基函数时变多变量AR模型的时变结构参数识别

顾海雷 史治宇 许鑫

振动与冲击 ›› 2013, Vol. 32 ›› Issue (19) : 86-92.

PDF(1735 KB)
PDF(1735 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (19) : 86-92.
论文

基于区间B样条小波基函数时变多变量AR模型的时变结构参数识别

  • 顾海雷 史治宇 许鑫
作者信息 +

Parameters identification for time varying structures using multi-variable auto regressive model based on B-spline wavelet on the interval

  • GU Hailei SHI Zhiyu XU Xin
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文章历史 +

摘要

本文研究的是时变动力学结构的参数识别问题。仅利用线性时变结构的多个加速度响应测量数据,本文将区间B样条小波函数作为时变基函数,构造了基于区间B样条小波基函数的时变多变量自回归模型,并推导了时变结构瞬时频率的识别方法。文中利用该法对一个三自由度线性时变结构进行了仿真研究,针对结构瞬时频率周期变化,突变和线性变化三种不同的情况分别进行了瞬时频率识别,并在加速度响应数据中加入了不同信噪比的高斯白噪声以检验识别方法的抗噪能力。最后,文中对一个具有质量时变特性的悬臂梁结构进行了实验研究,实验结果充分说明了区间B样条小波基函数时变多变量自回归模型对时变结构参数识别的可行性,有效性和良好的抗噪能力。

Abstract

This paper focuses on the parameters identification for time varying structures. Based on B-spline wavelet on the interval,time varying multi-variable auto regressive model is established and the parameters identification procedure is deduced for structural instantaneous frequencies using multi accelerations responses signals. The simulation study is performed based on a three degrees-of-freedom time varying dynamic model. The structural instantaneous frequencies (periodically varying, abruptly varying and smoothly varying) are identified based on the proposed auto regressive model using the structure acceleration responses data with Gauss white noise, in order to verify the anti-noise ability of this identification method. At last, a confirmatory test is carried out using a cantilever beam with time varying mass characteristics. The first three instantaneous frequencies are identified well and the results of the experiment demonstrate that the proposed method has very good validity, efficiency and anti-noise ability.



关键词

时变结构 / 参数识别 / 多变量自回归模型 / 区间B样条小波

Key words

time varying structures / parameters identification / multi-variable auto regressive model / B-spline wavelet on the interval

引用本文

导出引用
顾海雷 史治宇 许鑫. 基于区间B样条小波基函数时变多变量AR模型的时变结构参数识别[J]. 振动与冲击, 2013, 32(19): 86-92
GU Hailei SHI Zhiyu XU Xin. Parameters identification for time varying structures using multi-variable auto regressive model based on B-spline wavelet on the interval[J]. Journal of Vibration and Shock, 2013, 32(19): 86-92

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