Elastic waveguides: history and the state of the art. II

Meleshko, V. V.; Bondarenko, A. A.; Trofimchuk, A. N.; Abasov, R. Z.

doi:10.1007/s10958-010-9915-z

Cited by 14 publications

(8 citation statements)

References 46 publications

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“…20 More recently, several studies based on numerical simulations using finite and boundary element methods provided ap-proximate dispersion curves. [21][22][23][24][25][26] A complete review of the theory can be found in the papers by Meleshko and Krushynska 27,28 where the dispersion equations of rectangular elastic bars are formulated as infinite series and normal modes are studied for various width to thickness ratio and material parameters. The existence of several backward modes for Poisson's ratio up to 0.5 was pointed out for bars of width-to-thickness ratio higher than 5 in the study by Krushynska et al (section III of paper 28 ).…”

Section: Introductionmentioning

confidence: 99%

In-plane backward and zero group velocity guided modes in rigid and soft strips

Laurent

Royer

Prada

2020

The Journal of the Acoustical Society of America

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Elastic waves guided along bars of rectangular cross section exhibit complex dispersion. This paper studies in-plane modes propagating at low frequencies in thin isotropic rectangular waveguides through experiments and numerical simulations. These modes result from the coupling at the edge between the first order shear horizontal mode SH0 of phase velocity equal to the shear velocity VT and the first order symmetrical Lamb mode S0 of phase velocity equal to the plate velocity VP . In the low frequency domain, the dispersion curves of these modes are close to those of Lamb modes propagating in plates of bulk wave velocities VP and VT . The dispersion curves of backward modes and the associated ZGV resonances are measured in a metal tape using non-contact laser ultrasonic techniques. Numerical calculations of in-plane modes in a soft ribbon of Poisson's ratio ν ≈ 0.5 confirm that, due to very low shear velocity, backward waves and zero group velocity modes exist at frequencies that are hundreds of times lower than ZGV resonances in metal tapes of the same geometry. The results are compared to theoretical dispersion curves calculated using the method provided in Krushynska and Meleshko (J. Acoust. Soc. Am 129, 2011). arXiv:1907.09813v1 [physics.class-ph]

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Section: Introductionmentioning

confidence: 99%

In-plane backward and zero group velocity guided modes in rigid and soft strips

Laurent

Royer

Prada

2020

The Journal of the Acoustical Society of America

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“…These and other notable contributions made before the mid-1960s are described in detail by Meeker and Meitzler [20]; some later works are enlightened by McNiven and McCoy [21], and Thurston [22]. The paper of Zemanek [23] should be mentioned separately since the author presented the frequency equation describing waves of all types of modes and gave a detailed review of the behavior of complex-valued roots (this work was first presented as a dissertation in 1962 and was published only 10 years later [24]). …”

Section: Introductionmentioning

confidence: 99%

Controlling the dynamic behavior of piezoceramic cylinders by cross-section geometry

2012

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This paper focuses on the possibilities of controlling the dispersion spectra and wave characteristics of cylindrical waveguides by changing their geometry and electro-elastic properties. We consider cylinders with classical circular and hollow cross-sections, and waveguides that have sector cut of arbitrary angular measure in the cross-section. Numerical results are presented for the cylinders of all studied types with different boundary conditions. It is shown that the required wave characteristics can be obtained by a variation of the cross-section geometry of the waveguides.

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“…Among the methods that are based on elastic wave propagation, those using guided waves (GW), e.g., Lamb and Rayleigh waves, have made significant advances in recent decades, benefitting from improved computational mechanics, signal generation and sensing methods, and signal processing techniques [4][5][6]. Two reviews provided detailed mathematical developments on guided waves from Lord Rayleigh's works to the present, covering more than a century [7,8].…”

Section: Introductionmentioning

confidence: 99%

Experimental Determination of Lamb-Wave Attenuation Coefficients

Ono

2022

Applied Sciences

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This work determined the attenuation coefficients of Lamb waves of ten engineering materials and compared the results with calculated Lamb-wave attenuation coefficients, α–S and α–A. The Disperse program and a parametric method based on Disperse results were used for calculations. Bulk-wave attenuation coefficients, αL and αT, were required as input parameters to the Disperse calculations. The calculated α–S and α–A values were found to be dominated by the αT contribution. Often α–Ao coincided with αT. The values of αL and αT were previously obtained or newly measured. Attenuation measurement relied on Lamb-wave generation by pulsed excitation of ultrasonic transducers and on surface-displacement detection with point contact receivers. The frequency used ranged from 10 kHz to 1 MHz. A total of 14 sheet and plate samples were evaluated. Sample materials ranged from steel, Al, and silicate glass with low attenuation to polymers and a fiber composite with much higher attenuation. Experimentally obtained Lamb-wave attenuation coefficients, α–S and α–A, for symmetric and asymmetric modes, were mostly for the zeroth mode. Plots of α–So and α–Ao values against frequency were found to coincide reasonably well to theoretically calculated curves. This study confirmed that the Disperse program predicts Lamb-wave attenuation coefficients for elastically isotropic materials within the limitation of the contact ultrasonic techniques used. Further refinements in experimental methods are needed, as large deviations often occurred, especially at low and high frequencies. Methods of refinement are suggested. Displacement measurements were quantified using Rayleigh wave calibration. For signals below 300 kHz, 1-mV receiver output corresponded to 1-pm displacement. Peak displacements after 200-mm propagation were found to range from 10 pm to 1.5 nm. With the use of signal averaging, the point-contact sensor was capable of detecting 1-pm displacement with 40 dB signal-to-noise ratio and had equivalent noise of 4.3 fm/√Hz. Approximate expressions for α–So and α–Ao were obtained, and an empirical correlation was found between bulk-wave attenuation coefficients, i.e., αT = 2.79 αL, for over 150 materials.

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Elastic waveguides: history and the state of the art. II

Cited by 14 publications

References 46 publications

In-plane backward and zero group velocity guided modes in rigid and soft strips

In-plane backward and zero group velocity guided modes in rigid and soft strips

Controlling the dynamic behavior of piezoceramic cylinders by cross-section geometry

Experimental Determination of Lamb-Wave Attenuation Coefficients

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