Modeling of Guided-wave Excitation by Finite-dimensional Piezoelectric Transducers in Composite Plates

Abstract

This paper addresses modeling of guided-wave excitation by surface-bonded piezoelectric wafer transducers in multi-layered composite plate structures. Each of the individual layers is assumed to have unidirectional fibers in an epoxy matrix and is modeled as being transversely isotropic. The piezoelectric actuators are modeled as causing shear traction along their edges on the plate surface and uncoupled actuator-substrate dynamics are assumed. The formulation is generic enough to accommodate arbitrary shape actuators, and specific expressions are derived for the cases of rectangular and ring-shapes. The surface and interfacial conditions are implemented using the global matrix approach. Since the three-dimensional guided-wave field is modeled without using reduced structural formulations, all possible guided-wave modes are captured. The two-dimensional spatial Fourier transform is used to solve the problem, and a rigorous inversion procedure is outlined. These models are implemented numerically and results in the form of harmonic radiation plots are presented for various configurations.

Hybrid Global Matrix/Local Interaction Simulation Approach for Wave Propagation Simulation in Composite Laminates

“…These are exactly the values of the propagating wavenumbers for the plate. Previous works 6,8,16 have shown the employment of the residue formula to perform the complex integration needed to overcome this difficulty and complete the inversion. The result of the 2-D inversion is the displacement harmonic for the given spatial location and frequency.…”

“…Previous works have demonstrated the use of rectangular, ring, and CLoVER actuators. 6 Cramer's rule provides a convenient way to determine the constant values once the forcing vector is in wavenumber space.…”

“…4 Researchers have used the global matrix method as the basis for a semi-analytical formulation to study the GW excitation and propagation produced by finite-dimensional piezoelectric-based transducers. [5][6][7][8] In the majority of these studies, the goal has been to use a theoretical approach to determine dispersion behavior or out-of-plane displacement values for comparison with experiments using laser vibrometry or other measurement techniques.…”

Numerical and experimental analysis of guided waves propagation in composite plates

“…[17][18][19][20][21] Furthermore, a lot of effort has been made on proper modeling of wave excitation, which always occurs by means of piezoelectric actuators. [22][23][24][25][26][27] From a numerical standpoint, the results present in literature are scarce. The structures being investigated numerically range from simple plates 28 to stiffened waveguides.…”

Hybrid local FEM/global LISA modeling of guided wave propagation and interaction with damage in composite structures

“…To efficiently model guided waves in composite structures, researchers have reported several efficient techniques, such as Transfer Matrix Method (TMM) [7,8,9,10], Global Matrix Method (GMM) [11,12,13], Semi-Analytical Finite Element (SAFE) method [14,15,16]. These techniques provide an effective approach to accurately calculate the dispersion curves of layered structures.…”