Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system: influence of harmonic exc
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.
作 者： Zhang Yushan Liang Jianwen Hu Yuxian 作者单位： Zhang Yushan,Liang Jianwen(Department of Civil Engineering, Tianjin University, Tianjin 300072, China)Hu Yuxian(Institute of Geophysics, China Earthquake Administration, Beijing 100081, China)
刊 名： 地震工程与工程振动（英文版） SCI 英文刊名： EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION 年，卷(期)： 2005 4(1) 分类号： P315 关键词： bilinear SDOF system Hilbert-Huang transform (HHT) Hilbert spectrum Hilbert marginal spectrum Fourier spectrum intrinsic mode function (IMF) intra-wave modulation inter-wave combination