Lamb wave scattering, conversion and resonances in an elastic layered waveguide with a surface-bonded rectangular block

Golub, Mikhail V.; Eremin, Artem; Shpak, Alisa N.; Lammering, Rolf

doi:10.1016/j.apacoust.2019.06.009

Cited by 16 publications

(10 citation statements)

References 21 publications

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“…The stated problem is solved with the SAHA, which is more suitable for the problem of sole guided wave scattering [ 17 ]. In this case, the displacement field

of the Lamb wave with wavenumber

incoming from

(i.e., propagating from the left to the right according to the system of coordinates shown in Figure 9 ) is calculated via Cauchy’s residue theorem as follows:

…”

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

“…To extract wave-fields related to scattered Lamb waves with a specific wavenumber

corresponding to a specific Lamb wave, relations similar to Equation ( 13 ) are employed (for more details, see [ 17 , 31 ]). It should be mentioned that the equality

is valid for energy distribution coefficients.…”

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

“…The effect of the variation of the width of a rectangular block on Lamb wave transmission was analyzed in [ 17 ]. To investigate an uncommon A0 reflection at lower frequencies and the influence of the block’s height, the transmission and reflection of fundamental Lamb waves were analyzed with respect to the block’s height h .…”

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

“…Therefore, the presence of stiffeners, holes, notches, and other inhomogeneities might reduce the diagnostic potential of GW SHM methods. In [ 17 ], the authors investigated physical phenomena related to resonances, GW scattering, and conversion at a rectangular stiffener. A significant influence of omega stringer elements on the surface of an isotropic plate on GW propagation was shown in [ 7 ].…”

Section: Introductionmentioning

confidence: 99%

“…In this study, the standard finite element method (FEM) and an extension of the semi-analytical hybrid approach (SAHA) [ 17 , 30 ] were used for two-dimensional mathematical models. The standard FEM was applied for the simulation of the transient problems, whereas the SAHA, which was in a good agreement with the FEM, was used to compute eigenfrequencies and to analyze mode conversion/reflection by obstacles.…”

Section: Introductionmentioning

confidence: 99%

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Lamb Wave Scattering Analysis for Interface Damage Detection between a Surface-Mounted Block and Elastic Plate

Golub

Shpak

Mueller

et al. 2021

Sensors

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Since stringers are often applied in engineering constructions to improve thin-walled structures’ strength, methods for damage detection at the joints between the stringer and the thin-walled structure are necessary. A 2D mathematical model was employed to simulate Lamb wave excitation and sensing via rectangular piezoelectric-wafer active transducers mounted on the surface of an elastic plate with rectangular surface-bonded obstacles (stiffeners) with interface defects. The results of a 2D simulation using the finite element method and the semi-analytical hybrid approach were validated experimentally using laser Doppler vibrometry for fully bonded and semi-debonded rectangular obstacles. A numerical analysis of fundamental Lamb wave scattering via rectangular stiffeners in different bonding states is presented. Two kinds of interfacial defects between the stiffener and the plate are considered: the partial degradation of the adhesive at the interface and an open crack. Damage indices calculated using the data obtained from a sensor are analyzed numerically. The choice of an input impulse function applied at the piezoelectric actuator is discussed from the perspective of the development of guided-wave-based structural health monitoring techniques for damage detection.

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“…The stated problem is solved with the SAHA, which is more suitable for the problem of sole guided wave scattering [ 17 ]. In this case, the displacement field

of the Lamb wave with wavenumber

incoming from

(i.e., propagating from the left to the right according to the system of coordinates shown in Figure 9 ) is calculated via Cauchy’s residue theorem as follows:

…”

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

“…To extract wave-fields related to scattered Lamb waves with a specific wavenumber

corresponding to a specific Lamb wave, relations similar to Equation ( 13 ) are employed (for more details, see [ 17 , 31 ]). It should be mentioned that the equality

is valid for energy distribution coefficients.…”

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

Section: Analysis: Wave Phenomenamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations