• 제목/요약/키워드: plate waves

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A comprehensive analysis of horizontally polarized shear waves in a thin microstructural plate

  • Vikas Sharma;Satish Kumar
    • Structural Engineering and Mechanics
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    • v.85 no.4
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    • pp.501-510
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    • 2023
  • Horizontally polarized shear waves (SH) have numerous applications in various scientific, engineering, and medical fields. The study deals with an investigation of SH-waves in a thin microstructural plate. The plate has been mathematically modelled by employing size dependent consistent couple stress theory, which involves a length parameter, known as characteristic length. Characteristic length is assumed to be of the order of internal microstructures of the material. Dispersion relations have been calculated for the propagation of SH-waves using different set of boundary conditions. Group velocity of the SH-waves has been calculated by using an analytical approach. The mathematical results obtained in the problem are discussed in detail and the impacts of characteristic length parameter and thickness of plate are presented on phase velocity of SH-waves through graphical illustrations.

A STUDY ON THE HYDROELASTIC RESPONSE OF A PLATE UNDER IMPULSIVE PRESSURES DUE TO BREAKING WAVES

  • Park, Hang-Shoon;Lee, Dong-Yeon
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.1-14
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    • 1996
  • In this paper, breaking waves are generated in a 2-D wave tank and simulated by using a higher-order boundary element method. A piston-type wavemaker is operated by signals composed of elementary waves. The phase of elementary waves is determined by the linear theory such that they are focused to a prescribed position. Calculated plunging waves coincide well with experiment. A steel box with different plate thicknesses is installed at a predetermined position in the tank. Measured impulsive pressures due to breaking waves are found to be 0.8-1.2$\rho$C2, where $\rho$ corresponds to water density and C to wave celerity. The transverse displacement of the plate is described in terms of modal eigenfunctions. The natural frequencies measured by impact tests in air for thin plate coincide with the computational and theoretical values. The radiationpotential due to plate vibration is derived and the radiation force is expressed in terms of hydroelastic added mass and damping forces. Comparison of natural frequencies of plate in water proves that hydroelastic added mass and damping are properly considered. The measured strain due to regular waves supports the calculated one, but there are apparent discrepancies between theory and experiment in the impulsive case.

Determination of the Group Velocity and Source Location of Dispersive Plate Waves using Wavelet Transform (Wavelet 변환을 이용한 분산성 판파의 군속도와 음원 위치 결정)

  • Jang, Yeong-Su;Jeong, Hyeon-Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.4 s.175
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    • pp.1024-1031
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    • 2000
  • The plate waves propagating in thin plates have dispersive nature showing the dependence of velocities on the frequency. Wavelet transform (WT) using Gabor function can be used to analyze the dispersive waves in the time-frequency domain, and then to find the arrival time of the waves propagating in the plate. Plate waves in the aluminum plate of 3 mm thickness were identified and generated by pencil lead breaks and the lowest order symmetric ($S_o$) and antisymmetric ($A_o$) modes were analyzed by the WT method. The measured group velocities agreed very well with theoretical predictions in the frequency range of 50-400 kHz. The pencil breaks were also used to simulate acoustic emission sources in the plate, and the source location algorithm using the wavelet transform of dispersive plate waves was found to give accurate results.

A Study on the Vibration Characteristics of Collecting Plate in the Electrostatic Precipitator Using Holograpy (홀로그래피를 이용한 정전집진기 집진판의 진동 특성 연구)

  • 나종문;이기백;양장식
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.1
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    • pp.56-66
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    • 1996
  • In this study, the characteristics of generation and propagarion of transient wave induced in the assembly of four collecting plate upon the propagation of waves are analyzed. Also double exposure holographic inteferometry using ruby pulse laser is built in order to investigate the propagation of transient waves generated by impact load. When impact load was applied at edge of connecting band, the vibration of collecting plates was generated from the contact points between collecting plate and band which connects four collecting plates. Waves generated from the lower part and those reflected from the upper part were mixed as time went on and then formed very complex shapes. Also, when impact load was aplied at center of collecting plate, the waves propagating across the convexo-concave plane were reflected partly at curved section. Therefore the vibration amplitude was decreased as the transiet waves were propagated through the convexo-concave plane.

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The characteristics of Lamb waves in a composite plate with thickness variation (두께변화가 있는 복합재 평판의 램파 전파특성)

  • Han Jeongho;Kim Chun-Gon
    • Composites Research
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    • v.18 no.2
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    • pp.46-51
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    • 2005
  • An active inspection system using Lamb waves for structural health monitoring was considered in this paper. In order to understand the characteristics of the Lamb waves propagating in a composite plate, the experiment was performed for a quasi-isotropic composite plate with thickness variation. Lamb waves were generated and received by the thin PZT transducers bonded on the surface. In this test, a simple new technique was tried for characterizing the Lamb waves propagating across the discontinuity due to the thickness variation. The results showed that Lamb waves were more sensitive to the thinner plate with faster group velocity and that the thickness change in composite plate was detectable. Consequently, the potential of applying this technique to structural health monitoring was verified.

Investigating the Spatial Focusing Performance of Time Reversal Lamb Waves on a Plate through the Finite Element Method (유한요소법을 통한 판에서 시간반전 램파의 공간집속성능 규명)

  • Choi, Jeong-Hee;Lee, Hae-Sung;Park, Hyun-Woo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.12
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    • pp.1120-1131
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    • 2011
  • Researches using time reversal acoustics(TRA) for impact localization have been paid attention to recently. Dispersion characteristics of Lamb waves, which restrict the utility of classical nondestructive evaluation based on time-of-flight information, can be compensated through the application of TRA to Lamb waves on a plate. This study investigates the spatial focusing performance of time reversal Lamb waves on a plate using finite element analysis. In particular, the virtual sensor effect caused by multiple wave reflections at the boundaries of a plate is shown to enable the spatial focusing of Lamb waves though a very small number of surface-bonded piezoelectric(PZT) sensors are available. The time window size of forward response signals, are normalized with respect to the number of virtual active sensors. Then their effects on the spatial focusing performance of Lamb waves are investigated.

Investigating the Spatial Focusing Performance of Time Reversal Lamb waves for Impact Localization on a Plate (판의 충격위치 추정을 위한 시간반전 램파의 공간모임성능 규명)

  • Park, Hyun-Woo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.10a
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    • pp.418-429
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    • 2011
  • Researches using time reversal acoustics (TRA) for impact localization have been paid attention to recently. Dispersion characteristics of Lamb waves, which restrict the utility of classical nondestructive evaluation based on time-of-flight information, can be compensated through the application of TRA to Lamb waves on a plate. This study investigates the spatial focusing performance of time reversal Lamb waves on a plate using finite element analysis. In particular, the virtual sensor effect caused by multiple wave reflections at the boundaries of the plate is shown to enable the spatial focusing of Lamb waves though a very small number of surface-bonded piezoelectric (PZT) sensors are available. The time window size of forward response signals, are normalized with respect to the number of virtual active sensors. Then their effects on the spatial focusing performance of Lamb waves are investigated.

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An Experimental Study on Wave Absorber Performance of Combined Punching Plate in a Two-Dimensional Mini Wave Tank

  • Jung, Hyen-Cheol;Koo, Weoncheol
    • Journal of Ocean Engineering and Technology
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    • v.35 no.2
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    • pp.113-120
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    • 2021
  • In order to perform a precise wave tank experiment, it is necessary to maintain the incident wave generated by the wavemaker in a steady state and to effectively remove the reflected waves. In this paper, a combined sloping-wall-type punching plate wave absorber was proposed to attenuate reflected waves effectively in a two-dimensional mini wave tank. Using the four-point reflection separation method, the reflected waves were measured to determine the reflection coefficients. Experiments were conducted under various punching plate porosities, sloping plate angles, and incident wave conditions to evaluate the performance of the combined punching plate wave absorber. The most effective wave absorbing performance was achieved when the porosity was 10% and the inclination angle of the punching plate was 18.6° under the present condition. It was also found that the installation of the sloping plate could improve the wave attenuation performance by generating the shoaling effect of the incident wave.

Radiation Pattern of SH Waves Generated by an Orientation-adjustable Patch-type Magnetostrictive Transducer (조향 자기변형 트랜스듀서의 전단파 방사 패턴)

  • Jeon, Byung-Chul;Lee, Ju-Seung;Cho, Seung-Hyun;Kim, Yoon-Young
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.807-808
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    • 2008
  • This is concerned with the radiation pattern of elastic waves in a plate generated by an orientation-adjustable patch-type magnetostrictive transducer. In general, not only the Lamb waves but also shear horizontal (SH) waves are produced by the deformation of the circular magnetostrictive patch bonded to a plate. Among the two types of waves, this paper investigates the radiation patterns of SH waves. A number of experimental results are presented. They are also accurately predicted by a theory developed by the present authors. Experimental findings were explained by a theoretical analysis.

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Investigating the Spatial Focusing of Time Reversal Lamb Waves Using a Virtual Sensor Model on a Rectangular Plate (직사각형 판에서 가상탐지자 모델을 이용한 시간반전램파의 공간모임 규명)

  • Park, Hyun-Woo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.5
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    • pp.553-567
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    • 2011
  • During the last three years, the possibility of the time reversal Lamb waves has been paid attention to for structural health monitoring of a plate. This study proposes a numerical scheme which can simulate the spatial focusing of time reversal Lamb waves on a rectangular plate. In this scheme, a time reversal process is formulated in the frequency domain using active virtual sensors being equivalent to the mirror effects of an actual sensor due to wave reflection on the plate boundary. Forward and backward Lamb wave propagations are represented by scalar functions for simulating the spatial focusing of time reversal Lamb waves. The validity of the proposed scheme is demonstrated through the comparison to the results of finite element analysis in which the spatial focusing of time reversal Lamb waves is realized by wafer-type piezoelectric(PZT) transducers collocated on a rectangular plate.