• Title/Summary/Keyword: discontinuity function

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Crustal structure beneath broadband seismic station using receiver function (수신함수를 이용한 관측소 하부의 지진파 속도구조)

  • 박윤경;전정수;김성균
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.45-49
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    • 2003
  • The velocity structure beneath the CHNB broadband station is determined by receiver function analysis using by from teleseismic P waveforms. The detailed broadband receiver functions are obtained by stacking method for source-equalized vertical, radial and tangential components of teleseismic P waveforms. A time domain inversion uses the stacked radial receiver function to determine vertical P wave velocity structure beneath the station. The crustal velocity structures beneath the stations are estimated using the receiver function inversion method in the case at the crustal model parameterized by many thin, flat-tying, homogeneous layers. The result of crust at model inversion shows the crustal velocity structure beneath the CHNB station varies smoothly with increasing depth, and there are six discontinuity around 2.5km, 6.25km, 12.5km, 22.5km and 27.5km depth, with Moho discontinuity at about 32.5km depth.

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Crustal structure beneath broadband seismic station using receiver function (2) (수신함수를 이용한 관측소 하부의 지진파 속도구조 (2))

  • 박윤경;전정수;김성균
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.3-7
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    • 2003
  • The velocity structure beneath the CHNB broadband station is determined by receiver function analysis using by from teleseismic P waveforms. The detailed broadband receiver functions are obtained by stacking method for source-equalized vertical, radial and tangential components of teleseismic P waveforms. A time domain inversion uses the stacked radial receiver function to determine vertical P wave velocity structure beneath the station. The crustal velocity structures beneath the stations are estimated using the receiver function inversion method in the case at the crustal model parameterized by many thin, flat-lying, homogeneous layers. Events divide into 4 groups. four azimuths corresponding to events in group a(southwest), b(south), c(southeast), d(northeast). The result of crust at model inversion shows the crustal velocity structure beneath the CHNB station varies smoothly with increasing depth. The conard discontinuity lies around 18 km and moho discontinuity lies range from 30 to 34 km.

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Gas-liquid interface treatment in underwater explosion problem using moving least squares-smoothed particle hydrodynamics

  • Hashimoto, Gaku;Noguchi, Hirohisa
    • Interaction and multiscale mechanics
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    • v.1 no.2
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    • pp.251-278
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    • 2008
  • In this study, we investigate the discontinuous-derivative treatment at the gas-liquid interface in underwater explosion (UNDEX) problems by using the Moving Least Squares-Smoothed Particle Hydrodynamics (MLS-SPH) method, which is known as one of the particle methods suitable for problems where large deformation and inhomogeneity occur in the whole domain. Because the numerical oscillation of pressure arises from derivative discontinuity in the UNDEX analysis using the standard SPH method, the MLS shape function with Discontinuous-derivative Basis Function (DBF) that is able to represent the derivative discontinuity of field function is utilized in the MLS-SPH formulation in order to suppress the nonphysical pressure oscillation. The effectiveness of the MLS-SPH with DBF is demonstrated in comparison with the standard SPH and conventional MLS-SPH though a shock tube problem and benchmark standard problems of UNDEX of a trinitrotoluene (TNT) charge.

The Application of Genetic Algorithm for the Identification of Discontinuity Sets (불연속면 군 분류를 위한 유전자알고리즘의 응용)

  • Sunwoo Choon;Jung Yong-Bok
    • Tunnel and Underground Space
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    • v.15 no.1 s.54
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    • pp.47-54
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    • 2005
  • One of the standard procedures of discontinuity survey is the joint set identification from the population of field orientation data. Discontinuity set identification is fundamental to rock engineering tasks such as rock mass classification, discrete element analysis, key block analysis. and discrete fracture network modeling. Conventionally, manual method using contour plot had been widely used for this task, but this method has some short-comings such as yielding subjective identification results, manual operations, and so on. In this study, the method of discontinuity set identification using genetic algorithm was introduced, but slightly modified to handle the orientation data. Finally, based on the genetic algorithm, we developed a FORTRAN program, Genetic Algorithm based Clustering(GAC) and applied it to two different discontinuity data sets. Genetic Algorithm based Clustering(GAC) was proved to be a fast and efficient method for the discontinuity set identification task. In addition, fitness function based on variance showed more efficient performance in finding the optimal number of clusters when compared with Davis - Bouldin index.

Texture Mapping using Multiperiodic Function on the Smooth Genus N Object (Multiperiodic 함수를 이용한 Smooth Genus N 객체의 텍스쳐매핑)

  • Hwa Jin Park
    • Journal of Korea Multimedia Society
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    • v.5 no.1
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    • pp.94-104
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    • 2002
  • This paper presents a new way of texture mapping on the Genus N object constructed over a single domain. The problem of 2D texture mapping is the discontinuity of texture domain at the virtual boundary on the object. Such phenomenon decreases smoothness of the object as well as looks unnatural. Especially it is necessary for the Genus N object of infinite coninuity to apply the seamless texture mapping. For seamless texture mapping, a multiperiodic function, which transforms a discontinuous function into a continuous function, is suggested. In some applications, however, the visual seams on the textured object provide more realistic appearance. Therefore, this research supports the interactive control from the discontinuity and the continuity across the boundary using the coefficient of the weight function.

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A Study on the Analysis of Discontinuity of Microstrip Line Using FDTD/GPOF Method (FDTD/GPOF법을 이용한 Microstrip Line 불연속부의 해석에 관한 연구)

  • 김동일;이태형
    • Journal of the Korean Institute of Navigation
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    • v.22 no.1
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    • pp.15-22
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    • 1998
  • In this paper, discontinuity parts in microstrip line with $\lambda$/4 open stub and one in crank type have been anlayzed by using FDTD(Finite-Difference Time-Domain) analysis method. The noise components, in this case, are occred at the discontinuites of the given microstrip lines, the complex poles were extracted by the analysis using GPOF (Generalized Pencil-of Function) method from electric field of time domain. It has, then, been found that the noise level and the noise frequency components included in signal could be derived.

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SPECTROPHOTOMETRICAL CLASSIFICATIONS OF STARS (별의 분광 측광학적 분류)

  • U, Jong-Ok
    • Publications of The Korean Astronomical Society
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    • v.9 no.1
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    • pp.69-84
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    • 1994
  • The spectral types of stars can be classified by using Balmer discontinuity($D_B$) and wavelength(${\lambda}_B$) expressed in terms of effective temperatures appeared in Balmer discontinuity. In this research, in order to classify stars, we used the well established observational data of high dispersion spectrophotometry for the spectral types and luminosity classes of stars in the Breger(1976) catalogue. Balmer discontinuity by effective temperatures of stars was accurately measured, and the ${\lambda}_B$ was replaced to luminosity classes of MK system, because of the close relationship between the As and luminosity classes. We measured the energy gradients(${\phi}_R$) of stars which were expressed as a function of spectral types in the interval of ${\lambda}{\lambda}4,000{\sim}4600{\AA}$, and then obtained a new physical parameter(${\phi}$) from the $D_B$ and ${\phi}_B$. The new parameter, ${\phi}$ can be used instead of HD classifications of stars and can be used widely for spectrophotometrical classifications of stars.

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Theory of specific heat discontinuity of the superconductor under applied magnetic field (인가자기장 세기에 따른 초전도체 비열 불연속성 변화에 관한 이론)

  • 어익수;김철호
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.1
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    • pp.17-20
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    • 2004
  • We derive specific heat gap at the critical temperature as an exact anylitical function of applied magnetic field by using the thermodynamics. And we calculate numerical value of specific heat gap for some superconductors with the derived results and discuss the physical meaning. And it will be discussed that gap of specific heat discontinuity under certain magnetic field intensity become zero at the critical temperature.

Study on Strain Localization and Progressive Failure of Concrete (콘크리트의 변형률 국소화 및 진행성 파괴에 관한 연구)

  • 송하원;김형운;우승민
    • Journal of the Korea Concrete Institute
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    • v.11 no.3
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    • pp.181-192
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    • 1999
  • The progressive failure following strain localization in concrete can be analyzed effectively using finite element modeling of fracture process zone of concrete with a finite element embedded discontinuity. In this study, a finite element with embedded discontinuous line is utilized for the analysis of progressive failure in concrete. The finite element with embedded discontinuity is a kind of discrete crack element, but the difficulties in discrete crack approach such as remeshing or adding new nodes along with crack growth can be avoided. Using a discontinuous shape function for this element, the displacement discontinuity is embedded within an element and its constitutive equation is modeled from the modeling of fracture process zone. The element stiffness matrix is derived and its dual mapping technique for numerical integration is employed. Then, a finite element analysis program with employed algorithms is developed and failure analysis results using developed finite element program are verified through the comparison with experimental data and other analysis results.