Time-Domain Spectral Element Method for Built-In Piezoelectric-Actuator-Induced Lamb Wave Propagation Analysis

An investigation was performed to develop a computational model based on a spectral element method to simulate piezoelectric-actuator-induced acousto-ultrasonic wave propagation in a metallic structure. The model solves the coupled electromechanical field equations simultaneously in both three-dimensional and two-dimensional plane strain conditions, and so it can accept any arbitrary waveform of electrical voltage as input to any piezoelectric transducer and produce piezoelectric sensor output in voltage as a result of the excitation generated by the transducer. Basically, the model inputs electrical voltage to actuators and outputs electrical signals of sensors. To visualize the transient dynamic wave motions in the structure generated by the transducer, the code is integrated with commercial pre/postprocessing software to provide graphical outputs of the dynamic deformations of the structure. The code was verified by comparison with experimental results. Performance of the model was examined in terms of solution convergence compared with the finite element method.

[1]  Bc Lee,et al.  Modelling of Lamb waves for damage detection in metallic structures: Part I. Wave propagation , 2003 .

[2]  Géza Seriani,et al.  Numerical simulation of interface waves by high‐order spectral modeling techniques , 1992 .

[3]  A. Patera A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .

[4]  Wieslaw Ostachowicz,et al.  3D time-domain spectral elements for stress waves modelling , 2009 .

[5]  Jeong-Beom Ihn,et al.  Detection and monitoring of hidden fatigue crack growth using a built-in piezoelectric sensor/actuator network: II. Validation using riveted joints and repair patches , 2004 .

[6]  Constantinos Soutis,et al.  Damage detection in composite materials using lamb wave methods , 2002 .

[7]  T. Belytschko,et al.  Dispersion analysis of finite element semidiscretizations of the two‐dimensional wave equation , 1982 .

[8]  F. Chang,et al.  Detection and monitoring of hidden fatigue crack growth using a built-in piezoelectric sensor/actuator network: I. Diagnostics , 2004 .

[9]  P. Roache QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 1997 .

[10]  Fu-Kuo Chang,et al.  Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators , 1992 .

[11]  Jaroslav Mackerle,et al.  Finite-element modelling of non-destructive material evaluation, an addendum: a bibliography (1997–2003) , 2004 .

[12]  James F. Doyle Waves in Thin Plates , 1997 .

[13]  D. Komatitsch,et al.  The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures , 1998, Bulletin of the Seismological Society of America.

[14]  Géza Seriani,et al.  Spectral element method for acoustic wave simulation in heterogeneous media , 1994 .

[15]  Kazuro Kageyama,et al.  Doppler effect-based fiber-optic sensor and its application in ultrasonic detection , 2009 .

[16]  I. Babuska,et al.  Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h - p Version of the FEM , 1997 .

[17]  Ashley F. Emery,et al.  An evaluation of the cost effectiveness of Chebyshev spectral and p-finite element solutions to the scalar wave equation , 1999 .

[18]  James F. Doyle,et al.  Wave Propagation in Structures , 1989 .

[19]  Fu-Kuo Chang,et al.  Optimizing a spectral element for modeling PZT-induced Lamb wave propagation in thin plates , 2009 .

[20]  J. Rose,et al.  Lamb wave scattering analysis for reflector characterization , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[21]  Michael D. Gilchrist,et al.  WAVE PROPAGATION IN DELAMINATED BEAM , 2004 .

[22]  D. Komatitsch,et al.  Simulation of anisotropic wave propagation based upon a spectral element method , 2000 .

[23]  W. Staszewski,et al.  Modelling of Lamb waves for damage detection in metallic structures: Part II. Wave interactions with damage , 2003 .

[24]  Zhongqing Su,et al.  Fundamental Lamb Mode-based Delamination Detection for CF/EP Composite Laminates Using Distributed Piezoelectrics , 2004 .