• Title/Summary/Keyword: wave dispersion analysis

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Spectral Element Analysis of the Vibrations of Moving Plates Subjected to Axial Tension (장력을 받는 이동 평판이 갖는 진동의 스펙트럴 요소해석)

  • 조주용;김주홍;이우식;박상덕
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.192-199
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    • 2002
  • The use of frequency-dependent dynamic stiffness matrix (or spectral element matrix) in structural dynamics may provide very accurate solutions, while it reduces the number of degrees-of-freedom to improve the computational efficiency and cost problems. Thus, this paper develops a spectral element model for the thin plates moving with constant speed under uniform in-plane tension. The concept of Kantorovich method is used in the frequency-domain to formulate the dynamic stiffness matrix. The present spectral element model is evaluated by comparing its solutions with the exact analytical solutions. The effects of moving speed and in-plane tension on the flexural wave dispersion characteristics and natural frequencies of the plate are numerically investigated.

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Homogeneous Dual Composite Right/Left-Handed Metamaterial Using Subwavelength Defected Ground Structure(DGS) (Subwavelength 결함접지구조(defected grounded structure : DGS)를 이용한 Homogeneous Dual Composite Right/Left-Handed 메타물질 구현)

  • Park, Woo-Young;Lim, Sung-Joon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.11
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    • pp.2242-2246
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    • 2009
  • In this paper, a homogeneous dual composite right/left-handed (D-CRLH) transmission line (TL) is proposed by using a defected ground structure (DGS) on the ground plane. In order to satisfy a homogeneity condition of metamaterial, a subwavelength unit cell is designed by way of a spiral DGS and a meander stub. From a dispersion diagram, it is expected that the frequency bands for the left-handed (LH) property is 3.5 - 4.4 GHz. At 3.8 GHz in the LH band, backward propagating phenomenon is observed from full-wave analysis. The experimental results show that the proposed TL has a stop-band in 1.75 - 3.6 GHz.

Analysis of Crustal Velocity Structure Beneath Gangwon Province, South Korea, Using Joint Inversion of Receiver Functions and Surface Wave Dispersion (수신함수와 표면파 분산의 연합 역산을 사용한 강원도 지역 하부의 지각속도구조 분석)

  • Jeong-Yeon Hwang;Sung-Joon Chang
    • Economic and Environmental Geology
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    • v.56 no.3
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    • pp.277-291
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    • 2023
  • To analyze the crustal velocity structures beneath 21 broadband seismic stations in Gangwon Province, South Korea, we first applied the H-κ stacking method to 139 teleseismic event data (Mw ≥ 5.8 and the epicentral distance of 30° - 90°) occurring between March 18, 2019 and December 31, 2022 to estimate the Moho depths and Vp/Vs ratios beneath each station. The Moho depths and Vp/Vs ratios from the H-κ stacking method range from 24.9 to 33.2 km depth and 1.695 - 1.760, respectively, and the estimated Vp/Vs ratios were applied to the joint inversion of receiver functions and surface wave dispersion to obtain 1-D crustal velocity models beneath each station. The resulting Moho depths range from 25.9 to 33.7 km depth, similar to the results from the H-κ stacking method. Moho depth results from the both methods are generally consistent with Airy's isostasy. The 1-D crustal velocity models confirm that the existence of 2 km thick low-velocity layers with P-wave velocities of 5 km/s or less at some stations in the Taebaeksan basin, and at the stations CHNB and GAPB in northern Gangwon Province, which are located above the Cenozoic sedimentary layer. The station SH2B, although not overlying a sedimentary layer, has a low P-wave velocity near the surface, which is probably due to various factors such as weathering of the bedrock. We also observe a velocity inversion with decreasing velocity with depth at all stations within 4 - 12 km depths, and mid-crustal discontinuities possibly due to density differences in the rocks at around 10 km depth below some stations.

Parametric study on multichannel analysis of surface waves-based nondestructive debonding detection for steel-concrete composite structures

  • Hongbing Chen;Shiyu Gan;Yuanyuan Li;Jiajin Zeng;Xin Nie
    • Steel and Composite Structures
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    • v.50 no.1
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    • pp.89-105
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    • 2024
  • Multichannel analysis of surface waves (MASW) method has exhibited broad application prospects in the nondestructive detection of interfacial debonding in steel-concrete composite structures (SCCS). However, due to the structural diversity of SCCS and the high stealthiness of interfacial debonding defects, the feasibility of MASW method needs to be investigated in depth. In this study, synthetic parametric study on MASW nondestructive debonding detection for SCCSs is performed. The aim is to quantitatively analyze influential factors with respect to structural composition of SCCS and MASW measurement mode. First, stress wave composition and propagation process in SCCS are studied utilizing 2D numerical simulation. For structural composition in SCCS, the thickness variation of steel plate, concrete core, and debonding defects are discussed. To determine the most appropriate sensor arrangement for MASW measurement, the effects of spacing and number of observation points, along with distances between excitation points, nearest boundary, as well as the first observation point, are analyzed individually. The influence of signal type and frequency of transient excitation on dispersion figures from forwarding analysis is studied to determine the most suitable excitation signal. The findings from this study can provide important theoretical guidance for MASW-based interfacial debonding detection for SCCS. Furthermore, they can be instrumental in optimizing both the sensor layout design and signal choice for experimental validation.

Analysis of GMR Phenomenon by Asymmetric Multi-layered Dielectric Gratings (비대칭 다층 유전체 격자구조에 의한 GMR 현상의 분석)

  • Ho, Kwang-Chun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.3
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    • pp.209-214
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    • 2017
  • A plane-wave incident upon asymmetric multi-layered dielectric grating as well as symmetric grating structure generates space harmonics. Selected space harmonics among those harmonics can undergo strong resonance scattering variations known as GMR(guided-mode resonance). In this paper, to clarify these effects, the field propagation and dispersion curve inside the grating region are analyzed by using a rigorous equivalent transmission-line theory(RETT) based on eigenvalue problem. The results show that, at the peak of a scattering resonance, the reflected mode is almost identical to a leaky wave that can be supported by the grating structure. Thus, it confirms to be occurred GMR effect associated with the free-resonant character of leaky waves at asymmetric multi-layered dielectric gratings. Quantitative simulation results illustrating the behavior of typical gratings are given, and the special case of normal incidence is discussed for TE and TM modes.

Effectiveness of multi-mode surface wave inversion in shallow engineering site investigations (토목관련 천부층 조사에서 다중 모드 표면파 역산의 효과)

  • Feng Shaokong;Sugiyama Takeshi;Yamanaka Hiroaki
    • Geophysics and Geophysical Exploration
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    • v.8 no.1
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    • pp.26-33
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    • 2005
  • Inversion of multi-mode surface-wave phase velocity for shallow engineering site investigation has received much attention in recent years. A sensitivity analysis and inversion of both synthetic and field data demonstrates the greater effectiveness of this method over employing the fundamental mode alone. Perturbation of thickness and shear-wave velocity parameters in multi-modal Rayleigh wave phase velocities revealed that the sensitivities of higher modes: (a) concentrate in different frequency bands, and (b) are greater than the fundamental mode for deeper parameters. These observations suggest that multi-mode phase velocity inversion can provide better parameter discrimination and imaging of deep structure, especially with a velocity reversal, than can inversion of fundamental mode data alone. An inversion of the theoretical phase velocities in a model with a low velocity layer at 20 m depth can only image the soft layer when the first higher mode is incorporated. This is especially important when the lowest measurable frequency is only 6 Hz. Field tests were conducted at sites surveyed by borehole and PS logging. At the first site, an array microtremor survey, often used for deep geological surveying in Japan, was used to survey the soil down to 35 m depth. At the second site, linear multichannel spreads with a sledgehammer source were recorded, for an investigation down to 12 m depth. The f-k power spectrum method was applied for dispersion analysis, and velocities up to the second higher mode were observed in each test. The multi-mode inversion results agree well with PS logs, but models estimated from the fundamental mode alone show f large underestimation of the depth to shallow soft layers below artificial fill.

Analysis of Surface Plasmon Resonance on Periodic Metal Hole Array by Diffraction Orders

  • Hwang, Jeong-U;Yun, Su-Jin;Gang, Sang-U;No, Sam-Gyu;Lee, Sang-Jun;Urbas, Augustine;Ku, Zahyun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.176-177
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    • 2013
  • Surface plasmon polaritons (SPPs) have attracted the attention of scientists and engineers involved in a wide area of research, microscopy, diagnostics and sensing. SPPs are waves that propagate along the surface of a conductor, usually metals. These are essentially light waves that are trapped on the surface because of their interaction with the free electrons of conductor. In this interaction, the free electrons respond collectively by oscillating in resonance with the light wave. The resonant interaction between the surface charge oscillation and the electromagnetic field of the light constitutes the SPPs and gives rise to its unique properties. In this papers, we studied theoretical and experimental extraordinary transmittance (T) and reflectance (R) of 2 dimensional metal hole array (2D-MHA) on GaAs in consideration of the diffraction orders. The 2d-MHAs was fabricated using ultra-violet photolithography, electron-beam evaporation and standard lift-off process with pitches ranging from 1.8 to $3.2{\mu}m$ and diameter of half of pitch, and was deposited 5-nm thick layer of titanium (Ti) as an adhesion layer and 50-nm thick layer of gold (Au) on the semiinsulating GaAs substrate. We employed both the commercial software (CST Microwave Studio: Computer Simulation Technology GmbH, Darmstadt, Germany) based on a finite integration technique (FIT) and a rigorous coupled wave analysis (RCWA) to calculate transmittance and reflectance. The transmittance was measured at a normal incident, and the reflectance was measured at variable incident angle of range between $30^{\circ}{\sim}80^{\circ}$ with a Nicolet Fourier transmission infrared (FTIR) spectrometer with a KBr beam splitter and a MCT detector. For MHAs of pitch (P), the peaks ${\lambda}$ max in the normal incidence transmittance spectra can be indentified approximately from SP dispersion relation, that is frequency-dependent SP wave vector (ksp). Shown in Fig. 1 is the transmission of P=2.2 um sample at normal incidence. We attribute the observation to be a result of FTIR system may be able to collect the transmitted light with higher diffraction order than 0th order. This is confirmed by calculations: for the MHAs, diffraction efficiency in (0, 0) diffracted orders is lower than in the (${\pm}x$, ${\pm}y$) diffracted orders. To further investigate the result, we calculated the angular dependent transmission of P=2.2 um sample (Fig. 2). The incident angle varies from 30o to 70o with a 10o increment. We also found the splitting character on reflectance measurement. The splitting effect is considered a results of SPPs assisted diffraction process by oblique incidence.

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Application of a Fiber Fabry-Pérot Interferometer Sensor for Receiving SH-EMAT Signals (SH-EMAT의 신호 수신을 위한 광섬유 패브리-페롯 간섭계 센서의 적용)

  • Lee, Jin-Hyuk;Kim, Dae-Hyun;Park, Ik-Keun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.34 no.2
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    • pp.165-170
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    • 2014
  • Shear horizontal (SH) waves propagate as a type of plate wave in a thin sheet. The dispersion characteristics of SH waves can be used for signal analysis. Therefore, SH-waves are useful for monitoring the structural health of a thin-sheet-structure. An electromagnetic acoustic transducer (EMAT), which is a non-contact ultrasonic transducer, can generate SH-waves easily by varying the shape and array of magnets and coils. Therefore, an EMAT can be applied to an automated ultrasonic testing system for structural health monitoring. When used as a sensor, however, the EMAT has a weakness in that electromagnetic interference (EMI) noise can occur easily in the automated system because of motors and electric devices. Alternatively, a fiber optic sensor works well in the same environment with EMI noise because it uses a light signal instead of an electric signal. In this paper, a fiber Fabry-P$\acute{e}$rot interferometer (FFPI) was proposed as a sensor to receive the SH-waves generated by an EMAT. A simple test was performed to verify the performance of the FFPI sensor. It is thus shown that the FFPI can receive SH-wave signals clearly.

Analysis of Buried Pipelines Using Ground Strain Input from Seismic Waves (지반변형률에 의한 매설관의 지진차 거동 해석)

  • Kim, Moon-Kyum;Cho, Woo-Yeon;Eo. Jun;Lee, Kang-Won
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.15-26
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    • 2000
  • 지진파 전파로 인한 매설관에 작용하는 지진하중은 지진특성 및 지반조건에 따른 지반변형률로부터 산정되어야 한다. 그러나. 기존에 사용되고 있는 경험적인 방법에 의해 계산된 지반변형률 모형은 지진 및 지반의 지역적 특수성을 고려할 수 없는 문제점을 내포하고 있다. 따라서, 본 연구에서는 이러한 문제점을 개선하기 위하여 지진특성 및 지반조선을 반영할 수 있는 수정된 지반변형률 모형을 제안하고 개발된 모형을 매설관로의 지진해석에 지진하중으로 적용하였다. 여기서, 지반변형률을 예측하기 위한 지진판 전파속도는 지반조건을 고려할 수 있도록 파 에너지분포에 근거한 분산곡선을 제안하여 산정하였다. 이러한 과정을 통해 얻어진 지반변형률 산정방법에 타당성을 파악하기 위해 예측한 지반변형률과 과거 지진으로 실측된 지반변형률을 비교하였다. 타당성이 입증된 지반변형률 모형을 매설관의 하중으로 적용하여 지진해석을 실시하였으며, 계산결과는 범용 유한요소해석을 통한 동해석 및 응답변위법에 의한 결과와 비교하였다. 이를 통해 지반 변형률 모형을 적용한 매설관 지진해석의 타당성을 검증하였다. 또한, 지진 및 지반환경이 다른 다양한 관의 특성을 반영하기 위해, 지진 지반 및 관의 영향 인자에 대해 매개변수 해석에 실시되었으며, 이로써 본 연구의 활용성을 검토하였다.

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A Numerical Method for Analysis of the Sound and Vibration of Waveguides Coupled with External Fluid (외부 유체와 연성된 도파관의 진동 및 소음 해석 기법)

  • Ryue, Jung-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.29 no.7
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    • pp.448-457
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    • 2010
  • Vibrations and wave propagations in waveguide structures can be analysed efficiently by using waveguide finite element (WFE) method. The WFE method only models the 2-dimensional cross-section of the waveguide with finite elements so that the size of the model and computing time are much less than those of the 3-dimensional FE models. For cylindrical shells or pipes which have simple cross-sections, the external coupling with fluids can be treated theoretically. For waveguides of complex cross-sectional geometries, however, numerical methods are required to deal with external fluids. In this numerical approach, the external fluid is modelled by the boundary elements (BEs) and connected to WFEs. In order to validate this WFE/BE method, a pipe submerged in water is considered in this study. The dispersion diagrams and point mobilities of the pipe simulated are compared to those that theoretically obtained. Also the acoustic powers radiated from the pipe are predicted and compared in both cases of air and water as an external medium.