Abstract
In this study, a delta wavenumber dispersion compensation (∆K-DC) method was developed and applied, not only with the theoretical wavenumber but also with the measured wavenumber. Dispersion compensation can be achieved by the following steps: relative wavenumber measurement, traveling distance estimation, phase compensation, and wave correction. The feasibility of ∆K-DC with the theoretical wavenumber and measured wavenumber was validated with a high-dispersive A0 mode in a 2 mm steel plate experiment. The results showed that phase spectrum measurement was an effective method to construct the wavenumber curve, the propagation distances estimated by SAP2 were very accurate, and the dispersive signals can be compensated perfectly by applying the phase compensation and wave correction methods for each wavepacket. The present results highlight the application of ∆K-DC on dispersion compensation without any material parameters of a waveguide.
Highlights
Ultrasonic-guided wave is an efficient approach to nondestructive testing (NDT) [1,2,3,4] and structural health monitoring (SHM) [5, 6] and material characterization applications [7]
Considering the fact that the acquiring signal is the accumulation of multiple modes from the excitation point, scattered waves and new converted modes from the damage, and reflected waves from the boundary, overlapping of these waveforms makes signals difficult to interpret accurate damage identification and high-resolution imaging hard to develop. erefore, it is of great significance to explore the dispersion compensation method for developing efficient NDT methods
Dispersion compensation can be achieved by the following procedures: wavenumber measurement, traveling distance estimation, phase compensation, and wave correction. e feasibility of the scheme was verified in a 2 mm steel plate
Summary
Ultrasonic-guided wave is an efficient approach to nondestructive testing (NDT) [1,2,3,4] and structural health monitoring (SHM) [5, 6] and material characterization applications [7]. A nonlinear relation between wavenumber and frequency results in wavepacket extension and waveform distortion when the Lamb wave propagates through a plate structure. When the structure properties are unknown, dispersion compensation can be achieved by the following steps: wavenumber measurement, traveling distance estimation, phase compensation, and wave correction. According to the dispersion property and energy conservation, different frequency components in a wave packet will propagate at different velocities, which may result in the broadening of wavepackets and reduction of amplitude when they propagate through a structure As discussed above, both dispersion phenomenon and waveform distortion of y(r, t) can be achieved by linearizing the nonlinear wavenumber.
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