Identification of nonlinear dynamical characteristics of the single degree of freedom system using Hilbert transform

2018 International Conference on Civil and Hydraulic Engineering

土木建筑工程;水利工程

Liu, Qiang^1 ; Wang, Miaofang^1 ; Liu, Rongjie^2

College of Engineering Technology, Jimei University, Xiamen, Fujian

361021, China^1

College of Information and Electrical Engineering, Feng Chia University, Tai Zhong, Tai Wang

400, China^2

关键词: Amplitude frequency;    Dynamical characteristics;    Instantaneous amplitude;    Instantaneous frequency;    Nonlinear vibration analysis;    Nonlinear vibration equation;    Signal decomposition;    Single degree of freedom systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/189/5/052070/pdf
DOI  :  10.1088/1755-1315/189/5/052070

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The method of Hilbert transform is used in applications to signal decomposition and nonlinear vibration analysis. For a single degree of nonlinear system vibration, the vibration response signal can be regarded as a single signal component, and the instantaneous frequency and instantaneous amplitude of the signal are extracted directly using the Hilbert transform method. Then, the nonlinear vibration equations is derived which can be transformed to the standard equation with the instantaneous parameters. The amplitude-frequency curve of response of system is obtained. Finally, through the numerical simulation of a typical Duffing system, the effectiveness of the Hilbert transform is verified for the application to nonlinear analysis.