Smart Structures and Systems

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Guided wave field calculation in anisotropic layered structures using normal mode expansion method

  • Li, Lingfang (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Mei, Hanfei (Department of Mechanical Engineering, University of South Carolina) ;
  • Haider, Mohammad Faisal (Department of Aeronautics and Astronautics, Stanford University) ;
  • Rizos, Dimitris (Department of Civil Engineering, University of South Carolina) ;
  • Xia, Yong (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Giurgiutiu, Victor (Department of Mechanical Engineering, University of South Carolina)
  • Received : 2019.09.10
  • Accepted : 2020.06.02
  • Published : 2020.08.25
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Abstract

The guided wave technique is commonly used in structural health monitoring as the guided waves can propagate far in the structures without much energy loss. The guided waves are conventionally generated by the surface-mounted piezoelectric wafer active sensor (PWAS). However, there is still lack of understanding of the wave propagation in layered structures, especially in structures made of anisotropic materials such as carbon fiber reinforced polymer (CFRP) composites. In this paper, the Rayleigh-Lamb wave strain tuning curves in a PWAS-mounted unidirectional CFRP plate are analytically derived using the normal mode expansion (NME) method. The excitation frequency spectrum is then multiplied by the tuning curves to calculate the frequency response spectrum. The corresponding time domain responses are obtained through the inverse Fourier transform. The theoretical calculations are validated through finite element analysis and an experimental study. The PWAS responses under the free, debonded and bonded CFRP conditions are investigated and compared. The results demonstrate that the amplitude and travelling time of wave packet can be used to evaluate the CFRP bonding conditions. The method can work on a baseline-free manner.

Keywords

Acknowledgement

This research was supported by The Hong Kong Polytechnic University Research Grant (No. 1-BBAG) and the RGC Theme-based Research Scheme (Project No. T22-502/18-R). The generous donation of Tyfo TC epoxy from the Fyfe Co. LLC is highly appreciated. The first author is grateful to the Research Grants Council of the Hong Kong Special Administrative Region for the Hong Kong PhD Fellowship Award.

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