• Title/Summary/Keyword: Dispersion curve

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Dispersion curve and Spectral Density in Sonic Log (음파검층에서의 분산 곡선 및 Spectral Density)

  • Kim, Jong-Man;Zhao, Weijun;Park, Sung-Kun;Hwang, Byung-Chul;Lee, Sung-Jin;Kim, Yeong-Hwa
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.06a
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    • pp.323-328
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    • 2007
  • We derived the dispersion curves and spectral density for several models constructed from physical property data of representative geology in Korea. Comparison between monopole and dipole sources, between physical properties, and between dispersion curves and spectral density maps have been made. The result was very helpful in sonic data acquisition as well as velocity determination.

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Variation of the Group Velocity of Lamb Wave $S_o$ Mode with the Propagating Direction in the Laminated Unidirectional CFRP Plates (단일방향 탄소섬유복합재료 적층 판에서 전파 방향에 따른 램파 $S_o$ 모드의 군속도의 변화)

  • Kim Young H.;Lee Seung Seok;Kim Ho Chul;Lee Jeong Ki
    • Composites Research
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    • v.18 no.1
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    • pp.38-44
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    • 2005
  • In this paper, the group velocity dispersion curves of the $S_o$ symmetric mode in unidirectional CFRP plate was calculated as varying the propagating direction. The group velocity curve was obtained with the group velocities of the $S_o$ symmetric mode corresponding to 0.2 MHz-mm under the first cut-off frequency in the dispersion curves, and corrected by introducing the slowness curve. The velocities of the $S_o$ symmetric mode in the unidirectional CFRP plate were measured as varying the propagating direction and compared with the col?rotted group velocity curve. The measured velocities were good agreement with the corrected group velocity curve except near the fiber direction which was called the cusp region. It implies that the direction of the group velocities incline toward the fiber direction of the unidirectional CFRP plates when the propagation direction is not accorded with the principal axis. It is supposed that this phenomenon rerults from the preferential propagating the energy toward the direction with the faster propagation velocity.

Tensile Stress-Strain Relation of ECC (Engineered Cementitious Composite) Accounting for Bridging Curve (실제 균열면응력-변위 곡선을 고려한 ECC의 1축 인장거동 관계)

  • Kim, Jeong-Su;Lee, Bang Yeon;Kwon, Seong-Hee;Kim, Jin-Keun;Kim, Yun Yong
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.933-936
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    • 2008
  • An engineered cementitious composite (Engineered Cementitious Composite) had been developed in previous study. Theoretical prediction of the tensile stress-strain relation of ECC is important in providing the material constitutive relation necessary for designing structural members. But, few studies have been reported with regard to predicting the tensile stress-strain relation of ECC. Prediction of the tensile stress-strain relation of ECC accounting for actual bridging curve, such as fiber dispersion is needed. The present study extends the work as developed by Kanda et al., by modeling the bridging curve, accounting for fiber dispersion, the degree of matrix spalling, and fiber rupture to predict the tensile stress-strain relation of ECC. The role of material variation in the bridging curve, such as number of effective fiber actually involved in the bridging capacity and how it affects the multiple cracking process is discussed. The approach for formulating the tensile stress-strain relation is discussed next, where the procedure for obtaining the necessary parameters, such as the crack spacing, is presented. Finally, the predicted stress-strain relation will be validated with experimental tests results.

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Dispersion stability of ultra-fine $BaTiO_3$ suspensions in aqueous medium

  • Chun, M.P.;Chung, Y.B.;Ma, Y.J.;Cho, J.H.;Kim, B.I.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.15 no.6
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    • pp.239-243
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    • 2005
  • The effect of pH and particle size on the dispersion stability of ultra-fine $BaTiO_3$ suspensions in aqueous medium have been investigated by means of zeta potential, sediment experiments, and powder properties (particle analysis, specific surface area) etc. Zeta potential as a function of pH for two particles of different size increases from -75 to +10 mV with decreasing pH from 8.5 to 1.4. The curve of zeta potential for small particle (150 nm) has slow slope than that of large particle (900nm), giving IEP (isoelectric point) value of pH=1.6 for small particle and pH=1.9 for large particle respectively, which means that it is more difficult to control zeta potential with pH fur small particle than large particle. The dispersion stability of $BaTiO_3$ particles in aqueous medium was found to be strongly related with the agglomeration of colloidal suspensions with time through the sedimentation behaviors of colloidal particles with time and pH value.

Extraction of the Self-Energy from Simulated ARPES Data for High $T_c$ Superconductors (고온초전도체 ARPES 시뮬레이션에서 자체에너지 추출)

  • Bok, Jin-Mo;Yun, Jae-Hyun;Choi, Han-Yong
    • Progress in Superconductivity
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    • v.10 no.2
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    • pp.69-73
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    • 2009
  • For extraction of the self-energy from the angle resolved photoemission spectroscopy(ARPES) experiments for the cuprate superconductors, the momentum distribution curve(MDC) analysis is commonly used. There are two requirements for this method to work: the self-energy is momentum independent and the bare electron dispersion is known. Assuming that the first condition is satisfied in the cuprates, we checked the effects of the bare dispersion on the extracted self-energy. For this, we first generated the ARPES intensity using the tight-binding band of the B2212 by solving the Eliashberg equation. We then extracted the self-energy from the theoretically generated ARPES intensity using the linear and quadratic dispersions. By choosing the bare dispersion such that the Kramer-Kronig relation is best satisfied between the real and imaginary parts of the extracted self-energy, we confirmed that the quadratic dispersion is better for the bare electron band for Bi2212. The self-energy can be reasonably extracted from the ARPES experiments using the MDC analysis.

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Three-dimensional S-wave Velocity Structure and Radial Anisotropy of Crust and Uppermost Mantle Beneath East Asia (동아시아 지각과 최상부맨틀의 3차원 S파 속도구조 및 이방성 연구)

  • Lim, DoYoon;Chang, Sung-Joon
    • Geophysics and Geophysical Exploration
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    • v.21 no.1
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    • pp.33-40
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    • 2018
  • We investigate the crustal and uppermost mantle SV- and SH-wave velocity structure and radial anisotropy beneath East Asia including Korea, China and Japan. Rayleigh waves and Love waves were extracted from the seismic data recorded at broadband seismic stations in East Asia. Using the MFT (Multiple Filter Technique), we obtained group velocity dispersion curves of Rayleigh and Love waves with a period range of 3 to 200 s. We obtained 62466 Rayleigh-waves dispersion-curve measurements in vertical components and 54141 Love-waves dispersion-curve measurements in transverse components, respectively. The inverted models using these data sets provide SV- and SH-wave velocity structure of crust and uppermost mantle down to 100 km depth. In both cases of the S-wave velocity structures, strong high-velocity anomalies are observed down to 30 km depth beneath the East Sea, and deeper than 30 km depth, strong low-velocity anomalies are found beneath the Tibetan plateau. In the case of the SH-wave velocity structure, strong low-velocity anomalies are observed beneath the East Sea deeper than 30 km depth, leading to negative anisotropy. On the other hand, positive anisotropy is usually observed beneath the Tibetan plateau.

A Study of Comparison with Free Wave Number Between a New Cylinderical Wave Equation and the Wave Equation by Junger and Feit (자유파수를 이용한 새로운 실린더 운동방정식과 Junger and Feit의 실린더 운동방정식의 비교연구)

  • Jo, Heung-Kuk
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.6
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    • pp.47-51
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    • 1996
  • The Cylindrical Shell Equation is one of the fundamental tools in the study of the noise analysis in the cylindrical shell. Therefore, lot of the acousticians induced many cylindrical shell motion equations.[1] In the Reference[6], we introduced the newly induced cylindrical Shell Equation and Junger and Feit's shell equation[5], and computed the free wave number with the linear Equation with the supposed solution, in the case of the free motion of the shell. In this paper, we compared above cylindrical shell equations by using dispersion curve of free wave number and we describe the physical mean for the dispersion curve with ring-frequency and ring-extention-frequency. With this result, we proves the useful of a newly induced cylindrical shell equation and we can analyse the Structure-Borne Sound of the shell with this equation in the application.

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The Relationship Between Group velocity of Lamb wave $S_0$ Mode and Anisotropy in Laminated Unidirectional CFRP Plates (적층 Unidirectional CFRP 판의 이방성과 Lamb wave의 $S_0$ Mode 군속도의 관계)

  • Lee Jeong-kI;Kim Young H.;Lee Seung Suk;Kim Ho Chul
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.272-277
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    • 2004
  • The elastic waves in the plate are dispersive waves with the characteristics of Lamb waves. However, $S_0$ symmetric mode is less dispersive in the frequency region less than first cut-off frequency. And, in anisotropic plates such as CFRP plates, the propagation velocities vary with the direction. So, the wave vector direction to be the phase velocity direction is not accord with the energy flow direction to be the group velocity direction. In this work, the group velocities of the $S_0$ symmetric mode less than the first cut-off frequency was analyzed with the group velocity dispersion curves in unidirectional CFRP plate. And, the group velocity curve obtained by the group velocity dispersion curves are compared with the measured velocities as varied the propagation direction of the Lamb wave. The measured velocities are good agreement with the corrected group velocity curve except near the fiber direction which is called the cusp region. When the propagation direction is not accorded with the principal axis, the direction of the group velocities declines to the fiber direction in the unidirectional CFRP plates. This implies that the energy propagates preferentially toward fiber direction.

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Mode Characteristics Analysis of the SH-EMAT Waves for Evaluating the Thickness Reduction (두께감육 평가를 위한 SH-EMAT파의 모드특성 분석)

  • Park, I.K.;Kim, Y.K.
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.198-203
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    • 2010
  • In this paper, study on the mode characteristics analysis of the SH-EMAT (shear horizontal, electromagnetic acoustic transducer) waves for evaluating the thickness reduction in plates such as corrosion and friction is presented. Noncontact methods for ultrasonic wave generation and detection have been a great concern and highly demanded due to their capability of wave generation and reception on surface of high temperature or on rough surface. Mode identification of the SH-EMAT wave is carried out in an aluminum plate with thinning defects using time frequency analysis method such as wavelet transform, compared with theoretically calculated group velocity dispersion curve. The changes of various wave features such as the amplitude and the time-of-flight have been observed and the correlations with the thickness reduction have been investigated. Firstly, experiments have been conducted to confirm that it is possible to selectively generate and receive specific desired SH modes. These modes have then been analyzed to select the parameters that are sensitive to the thickness change. The results show that the mode cutoff and the time-of-flight changes are feasible as key parameters to evaluate the thickness reduction.