A Hybrid of Interval Wavelets and Wavelet Finite Element Model for Damage Detection in Structures

A Hybrid of Interval Wavelets and Wavelet Finite Element Model for Damage Detection in Structures
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用于结构损伤检测的区间小波和小波有限元混合模型

DOI:
10.3970/cmes.2011.081.269
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发表时间:
2011-11
期刊:
Computer Modeling in Engineering & Sciences
影响因子:
--
通讯作者:
Jiang, Zhansi
Jiang, Zhansi
中科院分区:
其他
文献类型:
--
作者:
Xiang, Jiawei;Matsumoto, Toshiro;Wang, Yanxue;Jiang, Zhansi

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结构的损伤会导致模态参数(固有频率和振型)的变化。模态参数与损伤参数(位置和深度)之间的关系非常复杂。单一的基于固有频率或模态振型的损伤检测方法无法从不可避免的噪声污染模态参数中获得鲁棒的损伤检测结果。为了消除这种复杂性,提出了一种基于区间小波(interval wavelets)方法和基于小波有限元模型的方法相结合的损伤位置和深度检测方法。为了避免边界失真现象,采用区间小波对有限长模态振型进行分解,得到近似信号和细节信号。损伤位置将通过在细节信号图上显示一些峰值来检测。为了检测损伤深度,利用小波有限元方法建立了结构固有频率与损伤深度的关系(损伤深度检测数据库)。实验模态分析得到的几个固有频率作为输入到构建的数据库,使用粒子群优化(PSO)搜索的损伤深度。梁板结构的数值算例表明,该方法对边界畸变现象和环境噪声具有较好的鲁棒性。
Damages occurred in a structure will lead to changes in modal parameters (natural frequencies and modal shapes). The relationship between modal parameters and damage parameters (locations and depths) is very complicated. Single detection method using natural frequencies or modal shapes can not obtain robust damage detection results from the inevitably noise-contaminated modal parameters. To eliminate the complexity, a hybrid approach using both of wavelets on the interval (interval wavelets) method and wavelet finite element model-based method is proposed to detect damage locations and depths. To avoid the boundary distortion phenomenon, Interval wavelets are employed to analyze the finite-length modal shape to decompose into approximation and detailed signals. Damage locations will be detected by showing some peaks on the figures of detailed signal. To detect damage depths, the relationship between natural frequencies and damage depths (the damage depth detection database) is constructed using wavelet finite element method. Several natural frequencies obtained by experimental modal analysis are employed as inputs to the constructed database using particle swarm optimization (PSO) to search for damage depths. Numerical examples of beam and plate structures show that the new approach is robust to boundary distortion phenomenon and environment noise.
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