| 小波分解法在多自由度线性体系地震反应分析中的应用 |
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| 引用本文： | 吴琛.小波分解法在多自由度线性体系地震反应分析中的应用[J].福建建筑高等专科学校学报,2008(3):213-218. |
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| 作者姓名： | 吴琛 |
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| 作者单位： | 福建工程学院土木工程系,福建福州350007 |
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| 基金项目： | 福建工程学院科研基金资助项目（GY-Z0745） |
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| 摘 要： | 介绍小波变换的分频机理，利用多分辨分析推导多自由度线性体系地震反应分析的基本公式，建立求解结构动力响应的小波分解法。算例表明：线性体系的地震响应可由各频带动力响应叠加而成．验证了线性系统动力响应唯一性的结论。利用小波多分辨率的特点可安全有效地滤去地震动高频成分．提高信噪比。高频抑制后的重构信号动力响应与原始地震动响应误差很小，说明地震动高频成分对结构振动影响甚微。
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| 关 键 词： | 小波变换 多分辨分析 多自由度线性体系 地震响应 滤波 |
Application of wavelet decomposition method in earthquake response analysis of MDOF linear system |
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| Wu Chen.Application of wavelet decomposition method in earthquake response analysis of MDOF linear system[J].Journal of Fujian College of Architecture & C.E.,2008(3):213-218. |
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| Authors: | Wu Chen |
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| Affiliation: | Wu Chen (Civil Engineering Department, Fujian University of Technology, Fuzhou 350007, China) |
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| Abstract: | The frequency decomposition mechanism of wavelet transform is introduced. The formula for earthquake response analysis of multiple-degree-of freedom （MDOF） linear system is deduced with multi-resolution analysis. Examples indicate that in linear system earthquake responses can be obtained by adding all of the dynamic response uniqueness of dynamic response in linear system components of distinct frequency segment. The is confirmed. Using multi-resolution of wavelet, high frequency in seismic signal can be filtered and signal-to-noise ratio can be improved. There is a minor error between the dynamic responses of reconstruction signal and original seismic signal. It is shown that seismic high frequency has little influence on structural vibration. |
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| Keywords: | wavelet transform multi-resolution analysis multi-degree-of freeedom （MDOF） linear system earthquake response filtering |
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