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IDENTIFICATION OF TIME-VARYING MODAL PARAMETERS USING LINEAR TIME-FREQUENCY REPRESENTATION
作者姓名:Xu  Xiuzhong
作者单位:Xu Xiuzhong Department of Mechanical Engineering,Shanghai Maritime University,Shanghai 200135,China Zhang Zhiyi Hua Hongxing National Key Laboratory of Vibration Shock & Noise,Shanghai Jiaotong University,Shanghai 200030,China Chen Zhaoneng School of Mechanical Engineering,Shanghai Jiaotong University,Shanghai 200030,China
基金项目:Automobile Industrial Science Foundation of Shanghai (No.2000187)
摘    要:A new method of parameter identification based on linear time-frequency representation andHilbert transform is proposed to identify modal parameters of linear time-varying systems frommeasured vibration responses. Using Gabor expansion and synthesis theory measured responses arerepresented in the time-frequency domain and modal components are reconstructed by time-frequencyfiltering. The Hilbert transform is applied to obtain time histories of the amplitude and phase angle ofeach modal component, from which time-varying frequencies and damping ratios are identified. The

关 键 词:线性时间变化系统  参数模式识别  Hilbert变换  Gabor膨胀  结构振动

IDENTIFICATION OF TIME-VARYING MODAL PARAMETERS USING LINEAR TIME-FREQUENCY REPRESENTATION
Xu Xiuzhong.IDENTIFICATION OF TIME-VARYING MODAL PARAMETERS USING LINEAR TIME-FREQUENCY REPRESENTATION[J].Chinese Journal of Mechanical Engineering,2003,16(4):445-448.
Authors:XuXiuzhong ZhangZhiyi HuaHongxing ChenZhaoneng
Abstract:A new method of parameter identification based on linear time-frequency representation and Hilbert transform is proposed to identify modal parameters of linear time-varying systems from measured vibration responses. Using Gabor expansion and synthesis theory, measured responses are represented in the time-frequency domain and modal components are reconstructed by time-frequency filtering. The Hilbert transform is applied to obtain time histories of the amplitude and phase angle of each modal component, from which time-varying frequencies and damping ratios are identified. The proposed method has been demonstrated with a numerical example in which a linear time-varying system of two degrees of freedom is used to validate the identification scheme based on time-frequency representation. Simulation results have indicated that time-frequency representation presents an effective tool for modal parameter identification of time-varying systems.
Keywords:Linear time-varying system Modal parameter identification Hilbert transform Gabor expansion
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