Smart Structures and Systems

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Instantaneous frequency extraction in time-varying structures using a maximum gradient method

  • Liu, Jing-liang (College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University) ;
  • Wei, Xiaojun (School of Engineering, University of Warwick) ;
  • Qiu, Ren-Hui (College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University) ;
  • Zheng, Jin-Yang (College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University) ;
  • Zhu, Yan-Jie (School of Engineering, University of Warwick) ;
  • Laory, Irwanda (School of Engineering, University of Warwick)
  • Received : 2018.04.11
  • Accepted : 2018.06.20
  • Published : 2018.09.25
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Abstract

A method is proposed for the identification of instantaneous frequencies (IFs) in time-varying structures. The proposed method combines a maximum gradient algorithm and a smoothing operation. The maximum gradient algorithm is designed to extract the wavelet ridges of response signals. The smoothing operation, based on a polynomial curve fitting algorithm and a threshold method, is employed to reduce the effects of random noises. To verify the effectiveness and accuracy of the proposed method, a numerical example of a signal with two frequency modulated components is investigated and an experimental test on a steel cable with time-varying tensions is also conducted. The results demonstrate that the proposed method can extract IFs from the noisy multi-component signals and practical response signals successfully. In addition, the proposed method can provide a better IF identification results than the standard synchrosqueezing wavelet transform.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China (NSFC), Natural Science Foundation of Fujian Province, Fujian Agriculture and Forestry University, China Postdoctoral Science Foundation, China Scholarship Council (CSC)

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