Experimental and theoretical investigation of transient edge waves excited by a piezoelectric transducer bonded to the edge of a thick elastic plate

Wilde, Maria; Golub, Mikhail V.; Eremin, Artem

doi:10.1016/j.jsv.2018.10.015

Cited by 28 publications

(36 citation statements)

References 31 publications

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“…Equation 5shows that the edge wave mode is essentially a superposition of an infinite number of two propagating wave modes: shear horizontal (SH n ) and symmetric Lamb (S n ). Figure 2 shows dispersion curves for the fundamental wave modes ES 0 , SH 0 and S 0 (solid lines) as obtained in several papers, [18][19][20][21] and Figure 3 shows the experimental dependence of the phase velocity of the fundamental edge wave mode as a function of the normalised product of the excitation frequency, v, and plate thickness, 2h, divided by the shear wave speed, c 2 (hereafter called the normalised frequency-thickness product). The latter was obtained by the present authors 22 and in a general agreement with theoretical predictions.…”

Section: Brief Edge Wave Theorymentioning

confidence: 99%

“…It was demonstrated in several theoretical studies that the solution of equations (1) to (3) can also be represented as an infinite series of wave modes which satisfy homogeneous boundary conditions, equation 2, on the faces of the plate. In the special case of symmetric excitation, only symmetric wave modes can be excited, and the solution can therefore be represented as a superposition of horizontally polarised shear wave modes (upper index H) and Lamb wave modes (upper index L) [18][19][20]…”

Section: Brief Edge Wave Theorymentioning

confidence: 99%

“…In addition, edge waves are not subject to spatial dispersion as is often present with Lamb or Rayleigh waves. However, edge waves can decay with propagation distance, and the rate of the decay is strongly dependent on the product of the excitation frequency and plate thickness, as well as Poisson's ratio of the material, [18][19][20][21] where a larger Poisson's ratio generally leads to stronger decay. This decay can be attributed to leakage of the wave energy into the surrounding material through conversion to other wave modes, such as the S 0 and SH 0 modes.…”

Section: Introductionmentioning

confidence: 99%

“…In a recent publication, several transient edge wave modes were excited by a flat piezoelectric transducer bonded to the edge of a thick elastic plate. 20 The wave excitation and propagation were analysed using a Fourier transform, revealing a very complicated system of propagating waves associated with this method of excitation and selected excitation frequencies, thus making it difficult to implement the outcomes of this work for practical purposes of non-destructive defect detection.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Damage detection with the fundamental mode of edge waves

Hughes

Mohabuth

Khanna

et al. 2020

Structural Health Monitoring

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Detection of mechanical damage using Lamb or Rayleigh waves is limited to relatively simple geometries, yet real structures often incorporate features such as free or clamped edges, welds, rivets, ribs and holes. All these features are potential sources of wave reflections and scattering, which make the application of these types of guided waves for damage detection difficult. However, these features can themselves generate so-called ‘feature-guided’ waves. This article details the first application of the fundamental mode of transient edge waves for detection of mechanical damage. The fundamental edge wave mode (ES0) – a natural analogue to Rayleigh waves – is weakly dispersive and may decay with propagation distance. The phase and group velocities of the ES0 wave mode are close to the fundamental shear horizontal (SH0) and symmetric Lamb (S0) wave modes, at low and high frequencies, respectively. It is therefore quite challenging to excite a single ES0 mode and avoid wave coupling. However, it was found experimentally that at medium range frequencies the ES0 mode can be decoupled from SH0 and S0 modes, and its decay is small, allowing for distant detection of defects and damage along free edges of slender structural components. This article provides a brief theory of edge waves, excitation methodology and successful examples of distant detection of crack-like and corrosion damage in I-beam sections, which are widely applied in engineering and construction.

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Section: Brief Edge Wave Theorymentioning

confidence: 99%

Section: Brief Edge Wave Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Damage detection with the fundamental mode of edge waves

Hughes

Mohabuth

Khanna

et al. 2020

Structural Health Monitoring

View full text Add to dashboard Cite

show abstract

“…The interested reader can find the detailed derivation in Refs. [30,33]. For a thin plate (t λ) occupying the x-z plane from z = 0 to z = −∞, with free stress boundary conditions at z = 0, the phase velocity c of edge waves traveling in the x direction can be calculated from…”

Section: A "Compact" Saw Experimental Setupmentioning

confidence: 99%

Tuning of Surface-Acoustic-Wave Dispersion via Magnetically Modulated Contact Resonances

et al. 2019

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In this work, we propose the use of contact resonances, controlled via an external magnetic field, as a tunable platform to manipulate the dispersion of surface acoustic waves (SAWs). We exploit the analogy between surface acoustic waves in a semi-infinite medium and edge waves in a plate, to realize a compact experimental setup and to demonstrate our tuning strategy. The setup consists of a set of ferromagnetic bead resonators in contact with thin, permanent magnets and positioned at the free edge of an elastic plate. An additional set of magnets, placed at a controlled and variable distance from the beads, is used to alter the contact stiffness and natural frequencies of the bead resonators. We exploit resonances to open large-frequency band gaps via edge-wave hybridization and implement our tuning strategy to shift their frequency ranges. We predict the tuned dispersive properties of hybridized edge waves via numerical models and experimentally reconstruct them via laser vibrometry, finding excellent agreement. The use of magnetic interaction and contact mechanics as a tuning strategy for SAW systems could pave the way toward programmable devices for sensing and electronic components.

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Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

Som,

Manna

2024

Z Angew Math Mech

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This study investigates the localized wave propagation at the free edge of a thin semi‐infinite Magneto‐Electro‐Elastic (MEE) plate. The plate is supported by a two‐parameters elastic foundation. Biot's porosity theory is considered to formulate the porosity in the model, and the pore structure is saturated with an incompressible fluid. The Kirchhoff–Love plate theory determines the plate displacement field. A non‐homogeneity in the material parameters is considered, which varies with the spatial coordinate along the thickness direction of the plate. In order to illustrate the impacts of the surface elements on bending wave propagation, the model incorporates the surface elasticity theory. The short circuit boundary conditions are implemented to derive the general form of the potential function connected with the electric and magnetic fields, respectively. The dispersion relation for bending edge wave on a MEE fluid‐saturated porous plate is obtained by considering a sinusoidal waveform, which propagates along the free edge of the plate. A numerical method named Finite Difference (FD) scheme is employed to analyze the stability of the numerical scheme and also extract the expression of the velocity profiles of the bending edge wave in the absence of the pore structure. The impacts of the various parameters included in the considered model are examined using a numerical example, from which conclusions regarding their sensitivity are derived.

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Experimental and theoretical investigation of transient edge waves excited by a piezoelectric transducer bonded to the edge of a thick elastic plate

Cited by 28 publications

References 31 publications

Damage detection with the fundamental mode of edge waves

Damage detection with the fundamental mode of edge waves

Tuning of Surface-Acoustic-Wave Dispersion via Magnetically Modulated Contact Resonances

Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

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