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Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system: influence of harmonic excitation amplitude 总被引:1,自引:0,他引:1
Under harmonic wave excitation, the dynamic response of a bilinear SDOF system can be expressed by the Hilbert spectrum. The Hilbert spectrum can be formulated by (1) the inter-wave combination mechanism between the steady response and the transient response when the system behaves linearly, or (2) the intra-wave modulation mechanism embedded in one intrinsic mode function (IMF) component when the system behaves nonlinearly. The temporal variation of the instantaneous frequency of the IMF component is consistent with the system nonlinear behavior of yielding and unloading. As a thorough study of this fundamental structural dynamics problem, this article investigates the influence of the amplitude of the harmonic wave excitation on the Hilbert spectrum and the intrinsic oscillatory mode of the dynamic response of a bilinear SDOF system. 相似文献
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针对基于沿海GPS站点坐标时间序列反演海潮负荷特征信息研究较少的问题,提出利用FFT与HHT提取海潮负荷信息,两种频谱方法原理各异,但都可将目标信息从原始数据中分离出。基于沿海站点的坐标时间序列,经小波去噪后进行海潮分潮特征信息提取试验,最后与3种全球海潮模型FES2004、NAO.99b和GOT4.7的模型值比较,评估两种方法的反演精度,结果显示:HHT、FFT都能够准确探测到海潮分潮信号,FFT全日潮周期反演结果优于HHT反演结果,半日潮周期反演精度相当;HHT边际谱的谱值为对应频率出现的可能程度,无法与模型值进行比较,而FFT振幅值为绝对值,其结果与模型值符合情况良好;在探测未知信号时,FFT可能会探测出虚假信号,而HHT更能真实反映信号的组成。 相似文献
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鉴于在结构健康诊断中模态参数对局部损伤不敏感,作者依据波动概念探讨了结构局部损伤的定位和损伤程度的识别方法。本文针对匀直钢管中损伤的识别,采用理论分析、数值模拟和物理试验相结合的方法论述了这一研究方向的可行性。具体研究结果如下: 相似文献
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希尔伯特-黄变换在海底大地电磁测深数据处理中的应用 总被引:5,自引:3,他引:2
海水运动产生的电磁场,是海底大地电磁探测数据中的主要噪声之一,影响了数据处理与解释的精度.为提高海底MT探测的应用效果,本文在海底MT信号处理中引入HHT时频分析方法.结合海底MT噪声的特点与海底MT信号的特性,对南海实测数据进行分析,通过对比去噪前后信号的Hilbert时-频谱和边际谱,表明利用经验模态分解及其多尺度滤波特性,能够有效压制海水运动产生的电磁噪声.经HHT去噪后的测深曲线在一定程度上有所改善,仍存在"飞点"现象;再结合Robust估计,明显改善海底大地电磁探测数据质量,得到满意的观测结果. 相似文献
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Hilbert-Huang Transformation(HHT)is a recently-developed method for non-linear signal processing (Huang et al,1998).By performing empirical mode decomposition(EMD)with HHT,various frequency compo- 相似文献
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HHT方法在研究地震旋回体中的应用 总被引:2,自引:0,他引:2
HHT(Hilbert-Huang变换)是一种近年才发展起来的非线性信号处理方法,具有明确的物理意义、高度的精确性和自适应性,但在地震信号处理中尚未得到广泛的应用。简要介绍了HHT的方法原理,然后分析了模型信号和地震旋回体的HHT时频谱。结果表明:HHT对模型信号的识别能力强,且不同类型地震旋回体与其HHT时频谱之间存在对应关系,这为地震层序的划分以及进一步的沉积相分析提供理论依据。 相似文献
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??(HHT) Hilbert??Huang????????????б???峱??????????????????????????????б????????????????Hilbert?任????????????Hilbert??? 相似文献
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This study proposes a recording-based approach to characterize and quantify earthquake-induced site nonlinearity, exemplified as soil nonlinearity and/or liquefaction. Alternative to Fourier spectral analysis (FSA), the paper introduces time–frequency analysis of earthquake ground motion recordings with the aid of so-called Hilbert-Huang transform (HHT), and offers justification for the HHT in addressing the nonlinear features shown in the recordings. With the use of the 2001 Nisqually earthquake recordings, this study shows that the proposed approach is effective in characterizing site nonlinearity and quantifying the influences in seismic ground responses. Major results from this study are listed below.
- 1. HHT-based site amplification is defined as the ratio of marginal Hilbert amplitude spectra, similar to the Fourier-based one that is the ratio of Fourier amplitude spectra. The HHT-based site amplification can be used in effectively quantifying site nonlinearity in terms of frequency downshift in the low-frequency range and amplification-reduction factor in intermediate-frequency range in comparison with the Fourier-based one.
- 2. Instantaneous damping, and Hilbert and marginal Hilbert damping spectra are defined in ways similar to instantaneous frequency, and Hilbert and marginal Hilbert amplitude spectra, respectively. Consequently, the HHT-based site damping is found as the difference of marginal Hilbert damping spectra, which can be used as an alternative, complementary index to measure the influences of site nonlinearity in seismic ground responses.
Keywords: Site nonlinearity; Site amplification; Site damping; Hilbert-Huang transform (HHT); Liquefaction; 2001 Nisqually earthquake 相似文献
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Chih-Sung ChenYih Jeng 《Journal of Applied Geophysics》2011,75(1):113-123
An alternative data processing procedure is proposed in this paper for the purpose of enhancing the signal/noise (S/N) ratio of ground penetrating radar (GPR) data. The processing methodology is achieved by performing the logarithmic transform in conjunction with the ensemble empirical mode decomposition (EEMD), a new nonlinear data analysis method in signal processing. The synthetic model study and field example indicate that the logarithmic transform is effective in alleviating the attenuation problem. Additionally, the spectrogram obtained from Hilbert-Huang transform (HHT) shows that the decomposition sensitivity of the EEMD method is greatly improved with the aid of the logarithmic transform. This new method allows us to extract the signal components from noisy GPR data efficiently. The success of this study suggests a possible nonlinear analysis application in future GPR investigation, particularly in the filter design and gain correction. 相似文献