Numerical modeling of guided ultrasonic waves generated and received by piezoelectric wafer in a Delaminated composite beam

G. D. Xu; B. Q. Xu; C. G. Xu; Y. Luo

doi:10.1117/12.2268334

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12 May 2017 Numerical modeling of guided ultrasonic waves generated and received by piezoelectric wafer in a Delaminated composite beam

G. D. Xu, B. Q. Xu, C. G. Xu, Y. Luo

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Proceedings Volume 10173, Fourth International Symposium on Laser Interaction with Matter; 1017316 (2017) https://doi.org/10.1117/12.2268334
Event: 4th International Symposium on Laser Interaction with Matter, 2016, Chengdu, China

Abstract

A spectral finite element method (SFEM) is developed to analyze guided ultrasonic waves in a delaminated composite beam excited and received by a pair of surface-bonded piezoelectric wafers. The displacements of the composite beam and the piezoelectric wafer are represented by Timoshenko beam and Euler Bernoulli theory respectively. The linear piezoelectricity is used to model the electrical-mechanical coupling between the piezoelectric wafer and the beam. The coupled governing equations and the boundary conditions in time domain are obtained by using the Hamilton’s principle, and then the SFEM are formulated by transforming the coupled governing equations into frequency domain via the discrete Fourier transform. The guided waves are analyzed while the interaction of waves with delamination is also discussed. The elements needed in SFEM is far fewer than those for finite element method (FEM), which result in a much faster solution speed in this study. The high accuracy of the present SFEM is verified by comparing with the finite element results.

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G. D. Xu, B. Q. Xu, C. G. Xu, and Y. Luo "Numerical modeling of guided ultrasonic waves generated and received by piezoelectric wafer in a Delaminated composite beam", Proc. SPIE 10173, Fourth International Symposium on Laser Interaction with Matter, 1017316 (12 May 2017); https://doi.org/10.1117/12.2268334

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