This paper presents a novel two-layer spectral finite element model, consisting of PZT wafer and host structure, to
simulate PZT-induced Lamb wave propagation in beam-like and plate-like structures. Based on the idea of equal
displacement on the interface between PZT wafer and host structure, the one-dimensional spectral beam element of PZT-host
beam and two-dimensional spectral plate element of PZT-host plate are considered as one hybrid element,
respectively. A novel approach is proposed by taking the coupling effect of piezoelectric transducers in the thickness
direction into account. The dynamic equation of the two-layer spectral element is derived from Hamilton’s principle.
Validity of the developed spectral finite element is verified through numerical simulation. The result indicates that,
compared with the conventional finite element method (FEM) based on elasticity, the proposed spectral finite element is
proved to have a high accuracy in modeling Lamb wave propagation, meanwhile, significantly improve the calculation
efficiency.
In order to identify multiple damage in the structure, a method of multiple damage identification and imaging based on
the effective Lamb wave response automatic extraction algorithm is proposed. In this method, the detected key area in
the structure is divided into a number of subregions, and then, the effective response signals including the structural
damage information are automatically extracted from the entire Lamb wave responses which are received by the
piezoelectric sensors. Further, the damage index values of every subregion based on the correlation coefficient are
calculated using the effective response signals. Finally, the damage identification and imaging are performed using the
reconstruction algorithm for probabilistic inspection of damage (RAPID) technique. The experimental research was
conducted using an aluminum plate. The experimental results show that the method proposed in this research can quickly
and effectively identify the single damage or multiple damage and image the damages clearly in detected area.
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