基于Hilbert-Huang变换的改进模态参数辨识方法研究

Mingjin Zhang, Hongyu Chen, Tingyuan Yan, Hao Sun, Lianhuo Wu
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摘要

在风洞试验中,全桥气动弹性模型需要模拟真实桥梁的外形和动力特性,而模态参数是关键的动力参数。因此,准确识别模型的模态参数至关重要。为了在风洞试验中获得准确的大跨度桥梁模型模态参数,分析了Hilbert-Huang变换在模态参数识别中的应用。然后设计带通滤波器对原始信号进行滤波,使经验模态分解得到的本征模态函数满足单分量信号要求,有效消除模态混叠效应。同时,提出了基于支持向量机(SVM)的端点数据扩展方法来抑制经验模态分解的端点效应。最后,以瓯江大桥为工程背景,将改进算法应用于环境激励下桥梁的模态参数识别。得到了模态频率和阻尼比等模态参数。将识别的模态参数与有限元法结果进行对比,验证了改进方法的可靠性,结果表明,改进方法可将竖向弯曲、侧向弯曲和扭转的频率识别误差分别降低至1.01%、4.07%和1.68%。结果表明,基于Hilbert-Huang变换的改进方法能够准确识别结构的主要模态参数,能够更好地应用于大跨度桥梁结构模态参数的识别。
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Research on improved modal parameter identification method using Hilbert-Huang transform
In the wind tunnel test, the full-bridge aeroelastic model needs to simulate both the shape and dynamic characteristics of the real bridge, and modal parameters are key dynamic parameters. Therefore, it is essential to identify the modal parameters of the model accurately. To get accurate modal parameters of the long-span bridge model in the wind tunnel test, the applications of the Hilbert-Huang transform for modal parameter identification were analyzed in this paper. Then a band-pass filter is designed to filter the original signal so that the intrinsic mode function obtained by empirical mode decomposition can satisfy the single-component signal requirement and eliminate the mode mixing effect effectively. Meanwhile, the endpoint data extension method based on SVM (Support Vector Machine) was presented to restrain the end effects of empirical mode decomposition. Finally, taking the Oujiang Bridge as the engineering background, the improved algorithm was applied to modal parameter identification of the bridge under ambient excitation. The modal parameters such as modal frequency and damping ratio were obtained. The reliability of the improved method was verified by comparing the identified modal parameters with the results of the finite element method, and it turns out that the improved method can reduce the frequency identification error of vertical bend, lateral bend, and torsion to 1.01%, 4.07%, and 1.68%. The results indicated that the improved method based on the Hilbert-Huang transform can accurately identify the main modal parameters of the structure and can be better applied to identify the modal parameters of long-span bridge structures.
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