• Title/Summary/Keyword: Normal Dispersion

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Evaluation of Elastic Properties of Anisotropic Cylindrical Tubes Using an Ultrasonic Resonance Scattering Spectroscopy

  • Kim, Jin-Yeon;Li, Zheng
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.6
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    • pp.548-557
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    • 2010
  • An ultrasonic resonance scattering spectroscopy technique is developed and applied for reconstructing elastic constants of a transversely isotropic cylindrical component. Immersion ultrasonic measurements are performed on tube samples made from a boron/aluminum composite material to obtain resonance frequencies and dispersion curves of different guided wave modes propagating in the tube. Theoretical analysis on the acoustic resonance scattering from a transversely isotropic cylindrical tube is also performed, from which complete backscattering and resonance scattering spectra and theoretical dispersion curves are calculated. A sensitive change of the dispersion curves to the elastic properties of the composite tube is observed for both normal and oblique incidences; this is exploited for a systematic evaluation of damage and elastic constants of the composite tube samples. The elastic constants of two boron/aluminum composite tube samples manufactured under different conditions are reconstructed through an optimization procedure in which the residual between the experimental and theoretical phase velocities (dispersion curves) is minimized.

Lagrangian Investigation of Turbulent Channel Flow (II) - Analysis of Lagrangian Statistics - (난류채널유동의 라그란지안 해석 (II) - 라그란지안 통계분석 -)

  • Choi, Ho-Jong;Lee, Sang-Hwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.7
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    • pp.867-876
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    • 2003
  • The Lagrangian dispersion of fluid particles in inhomogeneous turbulence is investigated by a direct numerical simulation of turbulent channel flow. Four points Hermite interpolation in the homogeneous direction and Chebyshev polynomials in the inhomogeneous direction is adopted to simulate the fluid particle dispersion. An inhomogeneity of Lagrangian statistics in turbulent boundary layer is investigated by releasing many particles at several different wall-normal locations and tracking those particles. The fluid particle dispersions and Lagrangian structure functions of velocity are scaled by the Kolmogorov similarity. The auto-correlations of velocity and acceleration are shown at the different releasing locations. Effect of initial particle location on the dispersion is analyzed by the probability density function at the several downstreams and time instants.

A Study for Characteristics of Stack Plume Dispersion under Various (다양한 대기풍속 및 대기온도 구배 조건에서의 공장 배출 가스의 확산 특성에 관한 연구)

  • Park, Il-Seouk
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.11
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    • pp.773-780
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    • 2010
  • The dispersion of plume which is emitted from a chimney is governed by a lot of factors: wind, local terrain, turbulence intensity of atmosphere, and temperature, etc. In this study, we numerically investigate the plume dispersions for various altitudinal temperature gradients and wind speeds. The normal atmosphere has the temperature decrease of $0.6^{\circ}C/100m$, however, actually the real atmosphere has the various altitudinal temperature profiles according to the meteorological factors. A previous study focused on this atmospheric temperature gradient which induces a large scale vertical flow motion in the atmosphere thus makes a peculiar plume dispersion characteristics. In this paper, the effects of the atmospheric temperature gradient as well as the wind speed are investigated concurrently. The results for the developing processes in the atmosphere and the affluent's concentrations at the ambient and ground level are compared under the various altitudinal temperature gradients and wind speeds.

Optical Pulse Compression at $1.319{\mu}m$ Through Fiber-grating Pair (광섬유와 회절격자를 이용한 $1.319{\mu}m$ 파장 광펄스의 압축)

  • 이재승;박희갑;심창섭
    • Korean Journal of Optics and Photonics
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    • v.2 no.1
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    • pp.13-19
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    • 1991
  • Utilizing self-phase modulation effects of a dispersion-shifted fiber and delayline characteristics of two gratings, mode-locked 80 ps pulses at 1.319 $\mu \textrm m$ wavelength from a Nd:YAG laser are compressed to 2.1 ps. This experiment is suitable for studying the transmission characteristics of high energy short pulses along normal fibers in zero dispersion regime.

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DISPERSION RELATION OF LONGITUDINAL CARRIER WAVES IN SOLIDS BY COUPLED MODE ANALYSIS

  • 강창언
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.14 no.2
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    • pp.28-31
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    • 1977
  • Normal modes of carrier waves due to longitudinal modulation in solids have been defined. The dispersion relationship of these waves in the presence of collision effects and thermal diffusion is derived and examined in detail. It is also shown that the carrier waves are reduced to the wellknown space-charge waves and electroacoustic hayes in special cases.

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A BAYESIAN METHOD FOR FINDING MINIMUM GENERALIZED VARIANCE AMONG K MULTIVARIATE NORMAL POPULATIONS

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.32 no.4
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    • pp.411-423
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    • 2003
  • In this paper we develop a method for calculating a probability that a particular generalized variance is the smallest of all the K multivariate normal generalized variances. The method gives a way of comparing K multivariate populations in terms of their dispersion or spread, because the generalized variance is a scalar measure of the overall multivariate scatter. Fully parametric frequentist approach for the probability is intractable and thus a Bayesian method is pursued using a variant of weighted Monte Carlo (WMC) sampling based approach. Necessary theory involved in the method and computation is provided.

Optical Constants and Dispersion Parameters of CdS Thin Film Prepared by Chemical Bath Deposition

  • Park, Wug-Dong
    • Transactions on Electrical and Electronic Materials
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    • v.13 no.4
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    • pp.196-199
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    • 2012
  • CdS thin film was prepared on glass substrate by chemical bath deposition in an alkaline solution. The optical properties of CdS thin film were investigated using spectroscopic ellipsometry. The real (${\varepsilon}_1$) and imaginary (${\varepsilon}_2$) parts of the complex dielectric function ${\varepsilon}(E)={\varepsilon}_1(E)+i{\varepsilon}_2(E)$, the refractive index n(E), and the extinction coefficient k(E) of CdS thin film were obtained from spectroscopic ellipsometry. The normal-incidence reflectivity R(E) and absorption coefficient ${\alpha}(E)$ of CdS thin film were obtained using the refractive index and extinction coefficient. The critical points $E_0$ and $E_1$ of CdS thin film were shown in spectra of the dielectric function and optical constants of refractive index, extinction coefficient, normal-incidence reflectivity, and absorption coefficient. The dispersion of refractive index was analyzed by the Wemple-DiDomenico single-oscillator model.

A Comparison of the Results from Somatotype Evaluation with Different Evaluation Tools

  • Choi, Wan-Suk;Choi, Jung-Hyun;Cho, Mi-Suk;Moon, Ok-Kon;Park, Joo-Hyun;Chung, Hyung-Kuk;Lee, Suk-Hee;Lee, Jung-Sook;Min, Kyung-Ok
    • Journal of International Academy of Physical Therapy Research
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    • v.1 no.1
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    • pp.65-72
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    • 2010
  • Supposing that somatotype evaluation results would have significant differences between the public group with less amounts of exercises and the special group with intensive exercises for three to four times a day, this study aimed at comparing the mutual consistency between the results determined by somatotype evaluation tools such as visually calculated index(VCI), R$\ddot{o}$hrer's Index(RI) and Body Mass Index(BMI). The public, taekwondo players and judo players groups were composed of fifty persons, taekwondo players and judo players passed through VCI determination, respectively. Their height and weight were examined and analyzed with somatotype evaluation tools. Comparison of somatotype dispersion of RI and VCI showed that most women were determined by VCI as lean type but were determined by RI as normal type. And that women were determined by VCI as fat type but were determined by RI as normal type. Therefore both men and women showed significant differences in VCI and RI. Comparison of somatotype dispersion of VCI and BMI showed that both men and women were overestimated or underestimated by VCI rather than by BMI. Comparison of somatotype dispersion of RI and BMI showed that men were less determined by BMI as lean type compared with women; both men and women less determined by BMI rather than by RI as normal type; and both men and women, in particular, were more determined by BMI as fat type but men were more determined by BMI rather than by RI as fat type. Total somatotype consistency by tools showed that VCI has the greatest possibility of determining the public group, compared with other groups as lean type and that the consistency of the three tools were relatively higher for the taekwondo players and judo players groups, compared with the public.

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A Study on a One-step Pairwise GM-estimator in Linear Models

  • Song, Moon-Sup;Kim, Jin-Ho
    • Journal of the Korean Statistical Society
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    • v.26 no.1
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    • pp.1-22
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    • 1997
  • In the linear regression model $y_{i}$ = .alpha. $x_{i}$ $^{T}$ .beta. + .epsilon.$_{i}$ , i = 1,2,...,n, the weighted pairwise absolute deviation (WPAD) estimator was defined by minimizing the dispersion function D (.beta.) = .sum..sum.$_{{i $w_{{ij}}$$\mid$ $r_{j}$ (.beta.) $r_{i}$ (.beta.)$\mid$, where $r_{i}$ (.beta.)'s are residuals and $w_{{ij}}$'s are weights. This estimator can achive bounded total influence with positive breakdown by choice of weights $w_{{ij}}$. In this paper, we consider a more general type of dispersion function than that of D(.beta.) and propose a pairwise GM-estimator based on the dispersion function. Under some regularity conditions, the proposed estimator has a bounded influence function, a high breakdown point, and asymptotically a normal distribution. Results of a small-sample Monte Carlo study are also presented. presented.

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A Study on Groundwater Age Dating Methods Using Tritium (삼중수소를 이용한 지하수 연령측정 방법에 관한 연구)

  • 오진석;김선준
    • Journal of the Korean Society of Groundwater Environment
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    • v.2 no.2
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    • pp.49-57
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    • 1995
  • Areas of Chungyang in Chungcheongnamdo, Cheju island and Georgia in U.S.A. were selected to calculate their groundwater ages and dispersion parameters using tritium. Piston flow model, Completely mixing model and Dispersion binomial model which calculate men residence times, and Dispersion normal model and Dispersion model(C$\_$FF) which calculate mean residence times and dispersion parameters simultaneously were applied. Since the input data, tritium concentrations of rainwaters, lack in part, tritium input function was prepared using the correlation of tritium concentrations of rainwaters of Pohang, Korea and Ottawa, Canada. Similar results of PFM and DBM reflect the intrinsical similarity of two models, assumption of low dispersion. The ages of sites of showing relatively higher tritium concentrations than other sites in the sam, region were not calculated by CMM. Since the calculations of DNM and DM(C$\_$FF/) provide the combination of wide ranges of parameters and groundwater ages, the ranges of dispersion parameters were narrowed down under the assumption that ages calculated by PFM and DBM are correct. Since large variation of tritium concentrations of outflows in a same region may reflect the different characteristics of each groundwater flow regime, using only one specific model on a whole region is not recommended.

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