• Title/Summary/Keyword: 원의 방정식

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Free Vibrations and Buckling Loads of Stepped Columns (Step 기둥의 자유진동 및 좌굴하중)

  • ;Oh, Sang Jin
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.6
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    • pp.42-50
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    • 1996
  • 이 논문은 step기둥의 자유진동 및 좌굴하중에 관한 연구이다. 축하중을 받는 변단면 기둥의 자유진동을 지배하는 편미분방정식을 이용하여 축하중을 받는 step기둥의 자유진동을 지배하는 상미분방정식을 유도하였다. 또한 이 자유진동을 지배하는 미분방정식을 이용하여 step기둥의 좌굴하중을 지배하는 상미분방정식을 유도하였다. 유도된 미분방정식들을 Heun방법과 Regula-Falsi방법을 이용하여 고유진동수 및 좌굴하중을 산출할 수 있는 수치해석방법을 개발하였다. 실제 수치해석 예에서는 2개의 step구간을 갖는 회전-회전, 회전-고정, 고정-고정 기둥에 대한 무차원 고유진동수화 무차원변수들과의 관계 및 무차원 좌굴하중과 무차원 변수들과의 관계를 그림에 나타내었다.

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Causal Effects Along Transitive Causal Routes: Reconsidering Two Concepts of Effects Founded on Structural Equation Model (이행적 인과 경로를 통한 원인 효과에 대한 해명: 구조 방정식에 토대한 인과 모형의 원인 효과 개념에 대한 평가와 대안)

  • Kim, Joonsung
    • Korean Journal of Logic
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    • v.18 no.1
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    • pp.83-133
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    • 2015
  • In this paper, I pose a problem for Hitchcock's arguments for two concepts of effects that are intended to explicate double causal effects, and put forth a theory that is intended not just to meet the problem but also to accommodate Hitchcock's theory and Eells' theory both. First, I introduce an example of dual causal effects, and examine the accounts of Otte(1985) and Eells(1987) on how to explicate the dual effects. I show that their accounts of the dual effects help us understand the problem of dual effects and see how different it is for Cartwright(1979, 1989, 1995), Eells(1991, 1995), and Hitchcock(2001a) to meet the problem. Second, I introduce two concepts of effects on Hitchcock(2001a), that is, net effect and component effect that are allegedly analogous to two effects of structural equation model. Third, I reveal the significance of homogeneous subpopulation and causal interaction regarding the problem of dual effects while examining Cartwright's theory and Elles' theory. Fourth, I critically examine the two concepts of effects on Hitchcock and argue against Hitchcock's criticism of Eells' theory. Fifth, I take a moderator variable of structural equation model and a moderator effect into the probabilistic theory of causality, and formally generalize causal interaction due to the dual effects in terms of disjunctive relation and counterfactual conditionals. I expect my account of disjunctive relation and counterfactual conditionals to contribute not just to several problems the received theories of causal modelling confront but also to the structural equation models many people exploit as a promising statistical methodology.

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The Calculation of Two Dimensional Spatial Profile of Electromagnetic Field for Capacitively Coupled Plasma Source (축전 결합형 플라즈마원에 대한 전자기장의 2차원 공간 의존성 계산)

  • Kim, Y.I.;Yoon, N.S.
    • Journal of the Korean Vacuum Society
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    • v.17 no.5
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    • pp.400-407
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    • 2008
  • In this study, Two dimensional spatial profile of electromagnetic field for capacitively coupled plasma source is calculated. Based on one dimensional fluid equation, spatial profile for the axial direction of electric field and conduction current density is firstly calculated. The two dimensional spatial profile for the electromagnetic field is calculated from solution of Maxwell equation that is expanded to power series for ${\omega}r/c$ into the radial direction.

A Study on the Prediction of Flow on Hahoi Region in the Nakdong River by Using the KU-RLMS Model (KU-RLMS 모형을 이용한 낙동강 하회지구 흐름 예측에 관한 연구)

  • Lee, Nam-Joo;Hwang, Seung-Yong;Lee, Sam-Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1397-1401
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    • 2007
  • 낙동강에 위치한 하회마을의 점사주는 상류에 안동 및 임하 다목적댐이 건설되면서, 수량이 조절됨에 따라 토사수리학적 특성이 상당히 변화되었으며, 식생이 발생하는 등 옛 모습을 상실해 가고 있는 지역이다. 이 연구는 낙동강의 중상류에 위치한 하회지구에 평면 이차원 하상변동 및 수질예측 수치모형인 KU-RLMS 모형을 적용하여 하회마을 앞의 점사주에 영향을 미치는 수리학적 특성 변화를 규명할 목적으로 수행하였다. KU-RLMS 모형은 하천 및 저수지의 국부적인 수리, 수질, 유사이동 해석을 위해 개발된 평면 이차원 비정상 수치모형이다. 직사각형 격자를 사용하는 유한차분법의 단점을 보완하기 위해, 흐름 계산을 위한 지배 방정식은 3차원 Reynolds 방정식으로부터 수심적분된 2차원 연속방정식과 운동량방정식을 불규칙한 경계를 현실적으로 모사할 수 있는 직교곡선 좌표계로 변환한 방정식을 사용한다. 안동다목적댐과 임하다목적댐의 방류량, 수공구조물 설치 여부 등을 고려하여 수치모의조건을 결정하였으며, 각 조건에 대한 흐름 변화특성을 분석하였다.

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선형 탄성방정식의 유한요소해법과 잠김현상

  • 이창옥
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.543-566
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    • 2001
  • 이차원 선형 탄성방정식을 소개하고 약한 형식 타원성을 보여준다(P-1)순응 유한요소를 사용할 때 나타나는 잠김현상을 설명하고 그 해결책으로서 비순응 유한요소법과 penalty 항을 가진 혼합문제, 일계 최소자승법 등을 소개한다.

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Numerical Solutions for the Flow past a Cylinder (원주주위를 지나는 흐름에 관한 수치해석)

  • 조용식;윤태훈
    • Water for future
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    • v.21 no.3
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    • pp.291-291
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    • 1988
  • The two dimensional time dependent flow past a circular cylinder is analyzed numerically. In the analysis, equations of conservation of mass and momentum are transformed to equations of stream function-vorticity and vorticity transport, and nondimensionalized by nondimensional parameters representing flow characteristics, The resulting stream function-vorticity equstion and vorticity transport equation are solved by successive over relaxation scheme and alternating direct implicit scheme. Numerical experments are performed for the flow in the range of Reynolds number 125 to 275. The time dependent streamlines, vorticities, pressure on cylinder surface, separation angle, and drag and lift coefficients are calculated, and the method for estimation of pressure on cylinder surface and the outer boundary limit are developed.

- Numerical Solutions for the Flow past a Cylinder- (원주주위를 지나는 흐름에 관한 수치해석)

  • 조용식;윤태훈
    • Water for future
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    • v.31 no.4
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    • pp.291-297
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    • 1998
  • The two dimensional time dependent flow past a circular cylinder is analyzed numerically. In the analysis, equations of conservation of mass and momentum are transformed to equations of stream function-vorticity and vorticity transport, and nondimensionalized by nondimensional parameters representing flow characteristics, The resulting stream function-vorticity equation and vorticity transport equation are solved by successive over relaxation scheme and alternating direct implicit scheme. Numerical experiments are performed for the flow in the range of Reynolds number 125 to 275. The time dependent streamlines, vorticities, pressure on cylinder surface, separation angle, and drag and lift coefficients are calculated, and the method for estimation of pressure on cylinder surface and the outer boundary limit are developed.

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Unsteady Flow in a Roof Drain (지붕 배수의 부정류)

  • 황창호;윤태훈
    • Proceedings of the Korea Water Resources Association Conference
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    • 1989.07a
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    • pp.163-172
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    • 1989
  • 강우로 인한 급경사면의 흐름 해석은 지배방정식인 연속방정식과 운동량 방정식에 의해 수치적으로 해석된다. 이에대한 해석 방법에는 수문학적인 방법과 수리학적인 방법이 있는데, 본 연구에서는 세인트 베난트 방정식을 초기 및 경계조건에 맞게 푸는 수리학적인 방법을 이용하였고, 일반적인 완경사면에서 그 영향이 작아 무시되었던 경사의 영향을 고려한다. 수치해석 과정은 지배방정식에 무차원 매개변수를 도입하여 6점 음해법을 이용하여 해석하였다. 수치실험은 마닝(Manning)의 조도계수 n을 변화시키면서, 각각 검사에서 강우에 의한 평형상태에 도달한 이후의 수심과 유량, kinematic flow 수, 후르드 수, 평형상태 도달시간등 변수 상호간의 관계를 고찰하였다.

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A Study on Underwater Source Localization Using the Wideband Interference Pattern Matching (수중에서 광대역 간섭 패턴 정합을 이용한 음원의 위치 추정 연구)

  • Chun, Seung-Yong;Kim, Se-Young;Kim, Ki-Man
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.8
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    • pp.415-425
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    • 2007
  • This paper proposes a method of underwater source localization using the wideband interference patterns matching. By matching two interference patterns in the spectrogram, it is estimated a ratio of the range from source to sensor5, and then this ratio is applied to the Apollonius circle. The Apollonius circle is defined as the locus of all points whose distances from two fixed points are in a constant value so that it is possible to represent the locus of potential source location. The Apollonius circle alone, however still keeps the ambiguity against the correct source location. Therefore another equation is necessary to estimate the unique locus of the source location. By estimating time differences of signal arrivals between source and sensors, the hyperbola equation is used to get the cross point of the two equations, where the point being assumed to be the source position. Simulations are performed to get performances of the proposed algorithm. Also, comparisons with real sea experiment data are made to prove applicability of the algorithm in real environment. The results show that the proposed algorithm successfully estimates the source position within an error bound of 10%.

Calculation of two-dimensional incompressible separated flow using parabolized navier-stokes equations (부분 포물형 Navier-Stokes 방정식을 이용한 비압축성 이차원 박리유동 계산)

  • 강동진;최도형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.5
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    • pp.755-761
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    • 1987
  • Two-Dimensional incompressible laminar boundary layer with the reversed flow region is computed using the parially parabolized Navier-Stokes equations in primitive variables. The velocities and the pressure are explicity coupled in the difference equation and the resulting penta-diagonal matrix equations are solved by a streamwise marching technique. The test calculations for the trailing edge region of a finite flat plate and Howarth's linearly retarding flows demonstrate that the method is accurate, efficient and capable of predicting the reversed flow region.