Time-efficient Simulation of Surface-excited Guided Lamb Wave Propagation in CompositesThe methods of time-efficient simulation of surface-excited wave propagation in plate-like multilayered composites are presented. The mathematical model of wave propagation in laminated plate based on the elasticity theory is transformed and then solved in wavenumber-frequency domain. The numerical methods for computation of inverse transform in time-space domain are developed and used for analysis of wave and energy propagation phenomena occurring in composite plates due to surface excitation. |
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A0 wave mode actuator algorithm amplitudes anisotropic antisymmetric AO/h applying asymptotic expansion calculated caustics central frequency CLoVER sector 2.87 CLPT composite plate computation contour corresponding cut-off frequency direction go dispersion curves dispersion equation displacement vector double integral elastic waves elasticity theory elastodynamic energy flow evaluation excitation signal excitation source far-field FFRIT Figure formula Fourier transform frequency-thickness product fundamental Lamb wave given go I 45 group velocities guided waves imaginary in-plane influence integral approach isotropic Lamb wave modes laminated composite material method MLPT multilayered non-symmetric numerical obtained out-of-plane displacement phase velocities piezoelectric Piezoelectric Wafer plate with layers point source poles of Green's PZT wafer quasi-isotropic radius A0 real poles representation residue theorem respect sensors shear solution stacking sequence stationary points stresses surface load symmetric wave modes Table A.1 toneburst values wave excitation wave modes A0 wave propagation wavenumber wavenumber domain