The SH0 wave manipulation in graded stubbed plates and its application to wave focusing and frequency separation

Li, Peng; Biwa, Shiro

doi:10.1088/1361-665x/ab3ef0

Cited by 22 publications

(9 citation statements)

References 45 publications

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“…The flexural wave is focused at x = 0.4056 m on the line along the plate thickness, which is nearly the same as the design value of x = 0.42 m. The small discrepancy may be due to the finite number of sub-beams distributed along the y direction which achieves the desired phase velocity variation only approximately. The focusing size along the y direction, evaluated by −3 dB of |w| or the quarter of peak |w| 2 , is about 3.65 cm, i.e., 0.591λ, smaller than one wavelength, which is comparable to other focusing designs [55,56]. The focusing size along the x direction is 14.706 cm, equivalent to 2.419λ.…”

Section: A Rectangular Lens Design For Wave Focusingmentioning

confidence: 76%

Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Biwa

2020

International Journal of Mechanical Sciences

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Section: A Rectangular Lens Design For Wave Focusingmentioning

confidence: 76%

Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Biwa

2020

International Journal of Mechanical Sciences

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“…The focusing size in the y direction is evaluated by using the −3 dB attenuation of the displacement amplitude |u z |, the quarter of maximal | u z | 2 [27], and shown in Figures 9B, D. Specifically, the focusing sizes for the A1-wave-based Luneburg lens and the S2-wave-based Luneburg lens are 0.648λ and 0.645λ, respectively, both smaller than one corresponding wavelength, which efficiently proves the excellent focusing ability of the Luneburg lens for the higher-order Lamb waves at the designed frequency.…”

Section: Numerical Simulation and Resultsmentioning

confidence: 99%

Focusing higher-order Lamb waves based on the Luneburg lens

Zhou

et al. 2023

Front. Phys.

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In order to improve the spatial resolution and the signal-to-noise ratio of Lamb waves in structural health monitoring systems or non-destructive testing techniques, this study presents the construction of Luneburg lenses for focusing higher-order Lamb waves based on the thickness variation. The dispersion curves of Lamb waves are calculated firstly, from which the relation between the phase velocity of a specific mode and the plate thickness is quantified. After that, the plate thickness is determined via the refractive index variation. To demonstrate the generality of this design scheme, two lenses, i.e., the A1-wave-based Luneburg lens and the S2-wave-based Luneburg lens are constructed, and their focusing abilities are examined via numerical simulations in both the time domain and frequency domain. It is revealed that the A1 wave and S2 wave can be focused with a focusing size smaller than one wavelength. The design methodology is easy to realize and can be used to control higher-order Lamb waves efficiently, which also provides potential application values in wave detections and energy collections.

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“…The size of the focusing spot along the y direction at x = 0.1 m is acquired by cutting the 3 dB attenuation line of |u z |, as shown in figure 11(c). The focusing size is 0.77λ, smaller than the wavelength of A0 wave propagation in a homogeneous plate, which illustrates the good focusing capability of the Luneburg lens [35,36].…”

Section: Frequency Domain Analysesmentioning

confidence: 90%

Design scheme of an S0 wave-based low-pass wave filter and an A0 wave-based Luneburg lens in a graded stubbed plate

Wang¹,

Cheng²,

Lu³

et al. 2020

J. Phys. D: Appl. Phys.

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Owing to their ability to detect small defects and flaws at very low frequencies, ultrasonic guided waves, as well as their artificial manipulation in structural health monitoring and non-destructive evaluation systems, are generating growing interest both in scientific research and engineering applications. In this paper, a methodology to artificially steer guided waves, i.e. attaching multiple graded cylindrical stubs on the plate surface, is proposed, and two kinds of devices, an S0 wave-based low-pass wave filter and an A0 wave-based Luneburg lens, are designed. Firstly, the band structure of a periodic crystal consisting of a cylindrical stub, hexagonally distributed on the surface of an aluminum plate, is calculated numerically. After validation via the transmission power, band gap evolution with the stub height is achieved, on which basis an S0 wave-based low-pass wave filter is realized and exemplified in both the time and frequency domains. It is revealed that the incident S0 wave with a lower frequency in the range of 110 kHz to 170 kHz can travel over longer distances when it enters the low-pass wave filter, and vice versa. Subsequently, the relationship between the frequency of the A0 branch and the stub height are quantified, which is used to design an omnidirectional A0 wave-based Luneburg lens. This lens exhibits good focusing ability, demonstrated by a focusing size smaller than the working wavelength. Not restricted to a fixed frequency, the Luneburg lens designed is shown to be wideband, and also presents high focusing performance in an effective frequency range centered on the designed frequency. The methodology presented is straightforward, and the two devices fulfilled are easy to manufacture with natural materials, which provides much convenience for experimental verification and final engineering applications.

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The SH0 wave manipulation in graded stubbed plates and its application to wave focusing and frequency separation

Abstract: The SH0 wave manipulation in graded stubbed plates and its application to wave focusing and frequency separation, Smart Materials and

Cited by 22 publications

References 45 publications

Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Focusing higher-order Lamb waves based on the Luneburg lens

Design scheme of an S0 wave-based low-pass wave filter and an A0 wave-based Luneburg lens in a graded stubbed plate

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