基于快速独立分量分析的模态振型识别方法研究

张晓丹 姚谦峰 刘佩

振动与冲击 ›› 2009, Vol. 28 ›› Issue (7) : 158-161,.

PDF(436 KB)
PDF(436 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (7) : 158-161,.
论文

基于快速独立分量分析的模态振型识别方法研究

  • 张晓丹 姚谦峰 刘佩
作者信息 +

A Study of Mode Identification Based on FastICA

  • ZhANG Xiao-dan,YAO Qian-feng,LIU Pei
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摘要

摘要:快速、准确地识别出结构的模态参数,特别是结构的振型是结构损伤精确识别与健康监测的重要前提。大多的模态参数识别时域方法都是从曲线拟合的角度或解算特征值的过程来实现。振型向量通过求解各阶模态的留数获得,这些方法依赖于模态频率与模态阻尼的识别。本文提出一种模态振型的直接提取方法,该方法基于快速独立分量分析技术,以模态响应之间的独立性构造目标函数,通过优化目标函数寻求振型向量的最优解,直接从结构自由响应或脉冲响应的数据矩阵中提取结构的振型向量。三自由度数值算例表明该方法有效,具有很高的识别精度且对测量噪声具有很好的鲁棒性。

Abstract

Abstract: It’s important to identify structural modal parameters, especially the mode shapes in time and accurately for accurate damage identification and health monitoring of structures. Normally, lots of time domain modal identification methods are generally achieved by curve fitting or calculating eigenvalues process. Mode shape matrix is obtained by calculating various modal residues. These methods depend on the identifying modal frequency and modal damping ratio. In this paper, a novel method based on FastICA for mode shapes identification is proposed. This method uses the independence between the modal responses to create the object function, and obtains the optimal solutions of the mode shape matrix by optimizing the object function. It extracts the mode shapes directly from the free responses or the pulse responses of structures. An numerical application of three DOF(degrees of freedom) is performed and shows the efficiency of this method, which gives a high identification accuracy and a good robust to the measuring noises.

关键词

快速独立分量分析 / 模态振型识别 / 鲁棒性

Key words

FastICA / Identification of mode shapes / Robust

引用本文

导出引用
张晓丹 姚谦峰 刘佩. 基于快速独立分量分析的模态振型识别方法研究 [J]. 振动与冲击, 2009, 28(7): 158-161,
ZhANG Xiao-dan;YAO Qian-feng;LIU Pei. A Study of Mode Identification Based on FastICA[J]. Journal of Vibration and Shock, 2009, 28(7): 158-161,

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