The fascinating non-propagating lamb wave modes, Zero-Group-Velocity (ZGV) modes, have ignited profound research curiosity. ZGV modes possess the distinctive attribute of an elapsed group velocity with a finite nonzero wavenumber, indicating a spatially propagating wave package under a motionless envelope. This stationary mode engenders a localized resonance, confining the wave energy in the vicinity. These captivating phenomena have been scrutinized by researchers from the perspective of temporal and spatial domains. Nevertheless, it remains an uncharted frontier that how ZGV modes manifest their peculiarity for steady-state responses in harmonic analysis. Inspired by the unique trembling phenomenon following the appearance of ZGV resonance peaks, this paper aims at revealing the underlying mechanism and fundamental nature of the ZGV trembling phenomena in harmonic analysis, developing a deeper insight into lamb wave modes generation and propagation. The paper commences with the identification and extraction of ZGV modes under the frameworks of analytical analysis, serving as a reference for the subsequent analysis. This is followed by the construction of a finite element model for the implementation of harmonic analysis. Through the meticulous examination of displacement frequency spectra and dispersion curves, the trembling phenomenon following the ZGV resonances is visualized and evaluated. Ultimately, Electro-Mechanical Impedance Spectroscopy (EMIS) is employed to conduct the harmonic tests experimentally to validate the distinct trembling features. The distinct trembling features are attributed to the drastic fluctuations of participation factor for the emerging modes. This paper culminates with summary, concluding remarks, and suggestions for future work.
This paper presents a Nonlinear Electro-Mechanical Impedance Spectroscopy (NEMIS) methodology for fatigue crack monitoring. Different from the conventional Electro-Mechanical Impedance Spectroscopy (EMIS) implemented in frequency domain, the current work employs a temporal chirp-based interrogative excitation to obtain the impedance spectrum, and simultaneously captures the Contact Acoustic Nonlinearity (CAN) arising from fatigue crack interfaces. To develop an insight into the mechanism behind the chirp-based impedance method, a comparative investigation between the conventional EMIS and the chirp-based NEMIS algorithm is conducted. Numerical studies are carried out on a transitional-bilinear CAN model to illustrate the chirp-induced higher harmonics and nonlinear mixed-frequency response features. Furthermore, finite element simulations are conducted to demonstrate the feasibility of the chirp-based NEMIS. Finally, experimental validation of the NEMIS method is performed. The chirp-based impedance spectra are verified against results from the impedance analyzer. Fatigue cracks are nucleated and grown on the MTS testing machine with cyclic loadings. Higher harmonics and wave modulation features can be successfully captured to manifest the existence of the fatigue crack. Quantification on the severity of the crack is conducted using the nonlinear damage index. The paper finishes with summary, concluding remarks, and suggestions for future work.
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