Journal
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
Volume 37, Issue 4, Pages 834-848Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1461348418790534
Keywords
Instantaneous frequency; civil engineering structures; extended analytical mode decomposition; normalization; improved arccosine function
Categories
Funding
- National Natural Science Foundation of China [51608122]
- Natural Science Foundation of Fujian Province [2016J05111]
- Outstanding Youth Fund of Fujian Agriculture and Forestry University [XJQ201728]
- China Postdoctoral Science Foundation [2018M632561]
- China Scholarship Council [201708350021]
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Civil engineering structures in essence belong to time-varying and nonlinear structures and the resultant dynamic responses are usually nonstationary signals. A new method is proposed to extract instantaneous frequency of such nonstationary signals. The new method combines the extended analytical mode decomposition, normalization scheme, and improved arccosine function algorithm. In this method, a multicomponent response signal is first decomposed into several mono-components signals by the extended analytical mode decomposition theorem, and then the extracted mono-components are demodulated into purely frequency modulated signals by a repeated normalization scheme. After that, the improved arccosine function is presented to compute the instantaneous phase and instantaneous frequency. A numerical example and an experimental study of a cable with time-varying tension force are provided to illustrate the working of the method. The results demonstrate that the proposed method can extract instantaneous frequencies from multicomponent signals more accurately than Hilbert-Huang transform.
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