| Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system： influence of harmonic excitation amplitude |
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| 引用本文： | 张郁山 梁建文 胡聿贤. Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system： influence of harmonic excitation amplitude[J]. 地震工程与工程振动(英文版), 2005, 4(1): 17-26. DOI: 10.1007/s11803-005-0020-0 |
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| 作者姓名： | 张郁山 梁建文 胡聿贤 |
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| 作者单位： | [1]DepartmentofCivilEngineering,TianjinUniversity,Tianjin300072,China [2]InstituteofGeophysicsChinaEarthquakeAdministration,Beijing100081,China |
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| 摘 要： | 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.
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| 关 键 词： | Hilbert波谱 地震 震波 外力作用 |
| 收稿时间： | 2005-02-03 |
| 修稿时间： | 2005-03-18 |
Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system: influence of harmonic excitation amplitude |
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| Zhang?Yushan,Liang?JianwenEmail author,Hu?Yuxian. Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system: influence of harmonic excitation amplitude[J]. Earthquake Engineering and Engineering Vibration, 2005, 4(1): 17-26. DOI: 10.1007/s11803-005-0020-0 |
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| Authors: | Zhang?Yushan,Liang?Jianwen author-information" > author-information__contact u-icon-before" > mailto:liang@tju.edu.cn" title=" liang@tju.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Hu?Yuxian |
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| Affiliation: | 1. Department of Civil Engineering, Tianjin University, Tianjin 300072, China
2. Institute of Geophysics, China Earthquake Administration, Beijing 100081, China |
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| Abstract: | 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. |
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| Keywords: | bilinear SDOF system Hilbert-Huang transform (HHT) Hilbert spectrum Hilbert marginal spectrum Fourier spectrum intrinsic mode function (IMF) intra-wave modulation inter-wave combination |
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