基于提升小波包和模糊模式识别的结构有限元模型修正

谭冬梅;瞿伟廉

振动与冲击 ›› 2011, Vol. 30 ›› Issue (8) : 193-198.

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PDF(1217 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (8) : 193-198.
论文

基于提升小波包和模糊模式识别的结构有限元模型修正

  • 谭冬梅; 瞿伟廉
作者信息 +

The finite element model updating of structure based on lifting wavelet packet transform and fuzzy pattern recognition

  • Tan Dong-mei; Qu Wei-lian
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文章历史 +

摘要

该文提出了基于提升小波包特征提取和模糊模式识别的结构有限元模型修正方法,首先建立以节点固结系数表示的空间网架单元刚度矩阵,然后利用提升框架,将结构振动测试信号进行提升小波包分解,提取小波包信号分量能量作为特征向量,以此建立模糊模式识别的模糊子集,最后利用模糊模式识别方法对结构进行有限元模型修正,并研究了噪声对该算法的影响。为了证明该方法,对一个二层网架结构模型进行了数值仿真,结果表明该方法能够有效的修正结构的有限元模型。

Abstract

The finite element model correction method of truss structure based on lifting wavelet packet transform and fuzzy pattern recognition is presented. Firstly, the element stiffness matrix of spatial truss is established using the joint fixity factor. Secondly, the vibration signal is decomposed using lifting wavelet packet (WP) analysis based on lifting scheme, and then the corresponding characteristic vector is established by the lifting WP component energy, which can be used as the subset of fuzzy pattern recognition. Finally, the finite element model is updated using fuzzy pattern recognition, and the effect of noise on the algorithm is also studied. In order to verify the proposed method, the numerical research on a two-story truss structure model is carried out. The numerical results show that the proposed method can be effectively used to correct the finite element model.

关键词

模糊模式识别 / 提升小波包 / 有限元分析 / 模型修正 / 节点固结系数

Key words

fuzzy pattern recognition / lifting wavelet packet / finite element analysis / model updating / joint fixity factor

引用本文

导出引用
谭冬梅;瞿伟廉. 基于提升小波包和模糊模式识别的结构有限元模型修正[J]. 振动与冲击, 2011, 30(8): 193-198
Tan Dong-mei;Qu Wei-lian. The finite element model updating of structure based on lifting wavelet packet transform and fuzzy pattern recognition[J]. Journal of Vibration and Shock, 2011, 30(8): 193-198

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