环境激励下基于改进经验小波变换的土木工程结构模态参数识别
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1.中南大学土木工程学院桥梁工程系;2.华东交通大学土木建筑学院铁路环境振动与噪声教育部工程研究中心

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Application of an Improved Empirical Wavelet Transform for Modal Parameters Identification of Civil Engineering Structures under Ambient Excitations
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Chen Hua-Peng

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    摘要:

    针对经验小波变换(EWT)识别噪声信号模态参数时,由于傅里叶频谱易受噪声影响而频带划分不准确等问题,本文提出了一种基于Burg算法的自回归功率谱替代傅里叶频谱的信号频带划分技术,结合随机减量技术和基于Hilbert变换的单分量模态参数识别方法,提出了环境激励下基于改进经验小波变换的土木工程结构模态参数识别方法。典型模拟信号、美国土木工程师学会ASCE Benchmark数值模型以及台风激励下香港汀九斜拉桥的模态参数识别结果验证了方法的正确性、有效性和适用性。研究结果表明:基于自回归功率谱的信号频带划分技术,可更准确地估计信号频带边界,隔离噪声;基于改进EWT方法识别的结构模态参数更准确,精度高于基于小波变换的方法,且能有效地识别环境激励下实际土木工程结构的低价自振频率和阻尼比。

    Abstract:

    Aiming at the problems that the frequency band division is not accurate due to the noise effect on the Fourier spectrum when the empirical wavelet transform (EWT) has been used for identifying the modal parameters of noisy signals, an improved empirical wavelet transform (IEWT) based procedure is proposed in this study to identify the modal parameters of civil engineering structures under ambient excitations. In the proposed IEWT-based procedure, the autoregressive (AR) power spectrum based on the Burg algorithm has been adopted to substitute the Fourier spectrum for the frequency band division, the random decrement technique (RDT) and the Hilbert transform (HT) based mono-component modal parameter identification method are all included. A typical simulated signal, the ASCE Benchmark structure under the white noise excitations and the Ting Kau Bridge under the typhoon excitations have been used to validate the correctness, effectiveness and applicability of the proposed procedure. The identified results show that (1) the proposed AR power spectrum based frequency band division technique can accurately estimate the frequency band boundaries and isolate noise, (2) the proposed IEWT-based identification procedure can effectively identify the low-order natural frequencies and damping ratios of the real civil engineering structures under ambient excitations, (3) the identified results are more accurate than the wavelet transform (WT) based method.

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历史
  • 收稿日期:2018-09-29
  • 最后修改日期:2019-04-11
  • 录用日期:2019-04-30
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