• Title/Summary/Keyword: Cauchy

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Nonparametric Flood Frequency Analysis at Hangang Bridge (한강대교 지점에서의 비매개변수적 홍수빈도해석)

  • Oh, Tae-Suk;Yoon, Sun-Kwon;Oh, Keun-Taek;Moon, Young-Il
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1225-1229
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    • 2008
  • 본 연구에서는 한강의 중요한 관측지점인 한강대교(구 인도교)지점에서 관측된 연최대치 홍수량을 자료를 이용하여 홍수빈도해석을 수행하였다. 홍수빈도해석을 위하여 확률분포형을 가정해 적합도 검정을 통해 최적 분포형을 선정해 확률홍수량을 산정하는 매개변수적 빈도해석과 원자료에 핵함수를 적용하는 비매개 변수적 빈도해석을 통해 각각 산정한 확률홍수량을 비교하였다. 비매개변수적 빈도해석을 위해서는 변동핵 밀도함수를 적용한 Modified Cauchy 핵밀도함수와 Sheater & Jones Plug-In 광역폭 결정 방법을 이용하였다. 따라서 본 연구에서 분석한 확률홍수량과 한강대교 지점의 계획홍수량의 비교를 통해 현재의 계획홍 수량의 적정성을 평가하였다.

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JORDAN-VON NEUMANN TYPE FUNCTIONAL INEQUALITIES

  • Kwon, Young Hak;Lee, Ho Min;Sim, Jeong Soo;Yang, Jeha;Park, Choonkil
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.269-277
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    • 2007
  • It is shown that $f:\mathbb{R}{\rightarrow}\mathbb{R}$ satisfies the following functional inequalities (0.1) ${\mid}f(x)+f(y){\mid}{\leq}{\mid}f(x+y){\mid}$, (0.2) ${\mid}f(x)+f(y){\mid}{\leq}{\mid}2f(\frac{x+y}{2}){\mid}$, (0.3) ${\mid}f(x)+f(y)-2f(\frac{x-y}{2}){\mid}{\leq}{\mid}2f(\frac{x+y}{2}){\mid}$, respectively, then the function $f:\mathbb{R}{\rightarrow}\mathbb{R}$ satisfies the Cauchy functional equation, the Jensen functional equation and the Jensen quadratic functional equation, respectively.

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Buckling for an Interface Crack Between an Orthotropic Layer and a Half-Space (직교이방성 층과 반무한체 사이의 계면균열에 대한 좌굴)

  • 정경문;범현규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.815-818
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    • 2001
  • The buckling of an orthotropic layer bonded to an isotropic half-space with an interface crack subjected to compressive load under plane strain is considered. Basic stability equations derived from the mathematical theory of elasticity are applied to describe the buckling behavior. A system of homogeneous Cauchy-type singular integral equations of the second kind is solved numerically by utilizing Gauss-Chebyshev integral formulae. Numerical results for the buckling load are presented for various delamination geometries and material properties of both the layer and half-space.

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Finite Element Analysis for Performance Evaluation of the Seal in a Universal Joint Bearing (유니버설 조인트 베어링용 시일의 성능평가를 위한 유한요소해석)

  • Kim, Tae-Wan;Moon, Suk-Man;Koo, Young-Pil;Cho, Yong-Joo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.140-146
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    • 2001
  • Seals in a universal joint bearing are important components reinforcing lubrication performance by holding lubricant and preventing infiltration of dust, moisture, etc.. There is a great difference in seal performance according to seal shape and bonding position. Therefore, in this study, as for both the lip type seal and the O-ring type seal, FE analysis is conducted using Mooned-Rivlin Model. The results show that O-ring type seal does not have any effect of misalignment angle compared with lib type seal, which is more profitable.

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FEM Analysis for Performance Evaluation of Seal in Universal Joint Bearing (유니버설 조인트 베어링용 Seal의 성능평가를 위한 유한요소해석)

  • 김태완;문석만;구영필;조용주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.571-574
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    • 2000
  • Seals in universal joint bearing are a important component reinforcing lubrication performance by holding a lubricant and preventing infiltration of dust, moisture, etc. There is a great difference in seal performance according to seal shape and bonding position. Therefore, in this study, as for the lib type seal and O-ring type seal, FEM analysis are conducted using Mooney-Rivlin Model. The results are indicate that O-ring having higher contact stress and larger contact area than lib type is more profitable.

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Tikhonov's Solution of Unstable Axisymmetric Initial Value Problem of Wave Propagation: Deteriorated Noisy Measurement Data

  • Jang, Taek-Soo;Han, So-Lyoung
    • Journal of Ocean Engineering and Technology
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    • v.22 no.4
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    • pp.1-7
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    • 2008
  • The primary aim of the paper is to solve an unstable axisymmetric initial value problem of wave propagation when given initial data that is deteriorated by noise such as measurement error. To overcome the instability of the problem, Tikhonov's regularization, known as a non-iterative numerical regularization method, is introduced to solve the problem. The L-curvecriterion is introduced to find the optimal regularization parameter for the solution. It is confirmed that fairly stable solutions are realized and that they are accurate when compared to the exact solution.

An Approach for Efficient Numerical Integration of the Sommerfeld Type Integrals Pertinent to the Microstrip Surface Green's Function (Microstrip 표면 Green 함수에 관한 Sommerfeld 형 적분들의 효과적인 수치 적분법)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.143-149
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    • 1993
  • An approach is presented for efficient numerical integration of the Sormnerfeld type integrals pertinent to the microstrip surface Green's function arising in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This approach, valid for both lossless and lossy dielectric substrates, is based on the deformation of the integration contour via a coordinate transformation and Cauchy's residue theory, and identifies clearly the effects of surface waves. I ts useful application is in a rigorous moment method analysis of micros trip antenna arrays and microstrip guided wave structures. The efficiency and the usefulness of the present approach are emphasized through some numerical calculations of the impedance matrix elements with associated CPU times.

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Anti-Plane Shear Behavior of an Arbitrarily Oriented Crack in Bonded Materials with a Nonhomogeneous Interfacial Zone

  • Chung, Yong-Moon;Kim, Chul;Park, Hyung-Jip
    • Journal of Mechanical Science and Technology
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    • v.17 no.2
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    • pp.269-279
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    • 2003
  • The anti-plane shear problem of bonded elastic materials containing a crack at an arbitrary angle to the graded interfacial zone is investigated in this paper The interfacial zone is modeled as a nonhomogeneous interlayer of finite thickness with the continuously varying shear modulus between the two dissimilar, homogeneous half-planes. Formulation of the crack problem is based upon the use of the Fourier integral transform method and the coordinate transformations of basic field variables. The resulting Cauchy-type singular integral equation is solved numerically to provide the values of mode 111 stress intensity factors. A comprehensive parametric study is then presented of the influence of crack obliquity on the stress intensity factors for different crack size and locations and for different material combinations, in conjunction with the material nonhomogeneity within the graded interfacial zone.

Mechanical Behavior of Fiber Metal Laminates with Local Delamination Defects (국부적 적층분리결함을 갖는 섬유금속적층판의 기계적 거동 특성)

  • Choi, Heungsoap;Choi, Hyungjip;Choi, Wonjong;Ha, Minsu
    • Journal of Aerospace System Engineering
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    • v.1 no.1
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    • pp.25-35
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    • 2007
  • In this paper, the interlaminar crack problems of a fiber metal laminate (FML) under generalized plane deformation are studied using the theory of anisotropic elasticity. The crack is considered to be embedded in the matrix interlaminar region (including adhesive zone and resin rich zone) of the FML. Based on Fourier integral transformation and the stress matrix formulation, the current mixed boundary value problem is reduced to solving a system of Cauchy-type singular integral equations of the 1st kind. Within the theory of linear fracture mechanics, the stress intensity factors are defined on terms of the solutions of integral equations and numerical results are obtained for in-plane normal (mode I) crack surface loading. The effects of location and length of crack in the 3/2 and 2/1 ARALL, GLARE or CARE type FML's on the stress intensity factors are illustrated.

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Inversion of Geophysical Data with Robust Estimation (로버스트추정에 의한 지구물리자료의 역산)

  • Kim, Hee Joon
    • Economic and Environmental Geology
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    • v.28 no.4
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    • pp.433-438
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    • 1995
  • The most popular minimization method is based on the least-squares criterion, which uses the $L_2$ norm to quantify the misfit between observed and synthetic data. The solution of the least-squares problem is the maximum likelihood point of a probability density containing data with Gaussian uncertainties. The distribution of errors in the geophysical data is, however, seldom Gaussian. Using the $L_2$ norm, large and sparsely distributed errors adversely affect the solution, and the estimated model parameters may even be completely unphysical. On the other hand, the least-absolute-deviation optimization, which is based on the $L_1$ norm, has much more robust statistical properties in the presence of noise. The solution of the $L_1$ problem is the maximum likelihood point of a probability density containing data with longer-tailed errors than the Gaussian distribution. Thus, the $L_1$ norm gives more reliable estimates when a small number of large errors contaminate the data. The effect of outliers is further reduced by M-fitting method with Cauchy error criterion, which can be performed by iteratively reweighted least-squares method.

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