• 제목/요약/키워드: Difference equation

검색결과 2,166건 처리시간 0.028초

Numerical Models of Water Wave with Parabolic and Hyperbolic Forms

  • Lee, Jong-Kyu;Lee, Chang-Hae
    • Korean Journal of Hydrosciences
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    • 제2권
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    • pp.25-37
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    • 1991
  • The numerical models of the parabolic equation, applicable only to the progressive wave, and hyperblic equation, which may consider even the reflected wave, were developed and applied to the area of the submerged circular shoal and then results obtained from both models were compared with experimental measurements and each other. The hyperbolic model was further applied to both the detaced breakwater and the breakwater with a gap. The numerical results were plotted and compated with the existing data. Numerical solutions were obtained with the finite difference method.

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신뢰성에 기초한 프리캐스트 세그멘탈 PC박스거더교량의 안전도분석평가 (Reliability-Based Safety Assessment of Precast Segmental Prestressed Concrete Box Girder Bridges)

  • 조효남;지광습
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
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    • pp.35-42
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    • 1995
  • One of the main objectives of this study is to propose a realistic limit state model for reliability-based safety assessment of precast segmental prestressed concrete box girder bridges, considering 1) combined effects of bending, shear and torsional forces, and 2) the difference between transverse reinforcments of box girder. A improved limit state model is derived from a modified interaction equation compared with the Bruno's equation. A Drectional sampling algorithm is used for reliability analysis of the proposed model.

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LQ Regulator of Systems with Multiple Time-Delays by Memoryless Feedback

  • Kubo, Tomohiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.373-378
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    • 1998
  • A method to construct a memoryless feedback law for systems with multiple time-delays in the states is proposed. As a plant model, a differential-difference equation with multiple delayed terms is introduced, A stabilizability condition by memoryless feedback is presented. A feedback gain is calculated with a solution of a finite dimensional Riccati equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. An alternative stabilizability condition which is easier to check is given.

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적분차분법을 이용한 연안역에서의 해수고유진동해석 (Free Oscillation Analysis in the Coastal Area using Integrated Finite Difference Method)

  • 이병걸
    • 한국수산과학회지
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    • 제27권6호
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    • pp.782-786
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    • 1994
  • Dey and Morrison (1979)이 육상의 전기탐사문제의 해결에 성공적으로 적용한 적분차분법(integral finite different method)의 해양에서의 응용성을 연구해보기 위해, 해석해가 존재하는 연안역의 해수고유진동 문제를 도출하여 기존의 고유진동문제에 적용하여 보았다. 그 응용성의 평가는 기존 해양에 널리 적용되는 기존차분법(conventional finite different method)으로 구한 수치결과와 적분차분법으로 구한 결과를 해석해와의 비교검증을 통하여 실시되었다. 그 결과 적분차분법으로 구한 고유치와 고유함수값이 기존차분법으로 구한 결과보다 좋은것으로 나타났다. 이러한 결과는 적분차분법의 경우 원래의 기본방정식에 Green's theorem을 적용함으로써, 기본방정식에 존재하는 2계 미분연산자가 1계 미분연산자로 해석적으로 처리되었기 때문으로 사료된다. 따라서 적분차분법을 이용하여 해수고유진동문제를 비롯한 다른 유사문제를 풀 경우 기본차분법보다 좋은 결과가 나을 것으로 사료된다. 또한 미분방정식의 수치해를 구할 경우 적분법이 차분법보다 좋은해를 줄 수 있다는 것을 증명한 것으로 사료된다.

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亂流流動과 亂流熱傳達의 數値解析

  • 최영돈
    • 기계저널
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    • 제21권3호
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    • pp.197-204
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    • 1981
  • 본 강좌에서는 수치해석 계산의 수학과 해의 정확도에 가장 큰 영향을 미치는 난류모델의 설정과 난류유동과 열전달의 기본방정식을 수치해석하기 위하여 차분형방정식 (finite difference equation)으로 전환하는데 발생하는 문제점을 검토하고자 한다.

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파형이 있는 슬라이더 베어링의 윤활효과 (Lubrication effect of slider bearing with wavy surface)

  • 왕일군;진도훈;윤문철
    • 한국기계가공학회지
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    • 제13권5호
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    • pp.35-42
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    • 2014
  • The influence of sine wave striated surface roughness on load carrying capacity of a bearing is studied for thin film effect of slider bearing. A Reynolds equation appropriate for slider bearing is used in this paper for analysis and it is discussed using finite difference method of central difference scheme. For a slider bearing with sine wave simple roughness form, several parameters such as pressure, load capacity and shear stress of the bearing can be obtained and also this results can be stored in sequential data file for latter analysis. After all, their distribution can be displayed and analyzed easily by using the matlab GUI technique. The parameters such as amplitude, number of waviness and slope of the surface are used for discussing the load carrying capacity of the rectangular bearing. The results reported in this paper should be applied to the other slider bearing such as rectangular or round embossed surface of slider bearing.

측풍영향을 고려한 고속전철 주위의 비압축성 점성 유동 해석 (Incompressible Viscous Flow Analysis around a High-Speed Train Including Cross-Wind Effects)

  • 정영래;박원규;김홍원;하성도
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.55-63
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    • 1995
  • The flow field around a high-speed train including cross-wind effects has been simulated. This study solves 3-D unsteady incompressible Navier-Stokes equations in the inertial frame using the iterative time marching scheme. The governing equations are differenced with 1st-order accurate backward difference scheme for the time derivatives, 3th-order accurate QUICK scheme for the convective terms and 2nd-order accurate central difference scheme for the viscous terms. The Marker-and-Cell concept was applied to efficiently solve continuity equation, which is differenced with 2nd-order accurate central difference scheme. The 4th-order artificial damping is added to the continuity equation for numerical stability. A C-H type of elliptic grid system is generated around a high-speed train including ground. The Baldwin-Lomax turbulent model was implemented to simulate the turbulent flows. To validate the present procedure, the flow around a high speed train at constant yaw angle of $45^{\circ}\;and\;90^{\circ}$ has been simulated. The simulation shows 3-D vortex generation in the lee corner. The flow separation is also observed around the rear of the train. It has concluded that the results of present study properly agree with physical flow phenomena.

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有限差分法을 利용한 油壓管路의 特性에 관한 硏究 (A Study on Dynamic Characteristics of Hydraulic Transmission Line by Finite Difference Method)

  • 오철환;정선국;송창섭
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.15-24
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    • 1986
  • 본 논문에서는 특성유선해법에 의하여 각 방정식을 유한착분방정식으로 변환 하고 이를 유압시스템에 사용하기 위하여 유압회로의 일반적인 요소인 서어보밸브, 방향제어밸브, 유압모우터, 실린더, 릴리이프 밸브, 필터등이 회로내에 연결되어 있는 경우에 대하여 해석할 수 있는 프로그램을 짜고 유압시스템에서 발생하는 압력 및 유량의 속도현상을 예측할 수 있도록 하였다. 프로그램의 정확도를 판단하기 위하여 계산결과와 실험결과를 비교하였으며 압력과도현상에 미치는 요소인 부하의 크기, 관로의 재질, 관로의 길이, 밸브의 개별시간, 액튜에이터 입구측과 출구측 사이에 바이패스밸브의 설치효과에 대하여 연구하였다.

고속철도차량의 유리창 압력에 관한 연구 (A Study on the Window Glass Pressure for High-speed Train)

  • 권혁빈;장대성
    • 한국철도학회논문집
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    • 제13권4호
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    • pp.371-375
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    • 2010
  • 분산형 고속철도차량의 유리창 강도조건을 설정하기 위하여 열차가 터널을 통과하는 동안의 압력변동이 수치적으로 모사되었다. 계산결과를 토대로 객실 내외의 압력차이가 계산되었고, 객실 유리창에 작용하는 하중의 크기가 도출되었다. 열차가 터널을 통과하는 동안의 압력장을 모사하기 위하여 축대칭 Navier-Stokes 방정식에 기반한 전산유체역학이 이용되었다. 차량 내부의 압력변동은 차내 압력변화율과 차 내외부 압력변동의 선형 관계식에 근거한 1차 차분식을 이용하여 계산되었다.

둥근 엠보싱 형상이 있는 슬라이더 베어링의 경사도에 따른 윤활효과 (Lubrication Effect of Slider Bearing with Round Embossed Surface According to Its Slider Slope)

  • 진도훈;윤문철
    • Tribology and Lubricants
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    • 제30권5호
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    • pp.284-290
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    • 2014
  • The influence of round embossed surface on slider bearing characteristics and its load carrying capacity is discussed for thin film effect of embossed slider bearing. For the numerical computation of lubrication parameters such as pressure, load capacity and shear stress that are normalized and a Reynolds equation is used for the analysis of embossed slider bearing characteristics. For this purpose, the finite difference method of central difference scheme is used in this study. In a slider bearing with embossed form, several simulation parameters such as pressure, load capacity and shear stress of the bearing can be obtained according to independent parameters such as the slope of the slider bearing and number of embossing in the upper slider. Also this results can be summarized and be stored in sequential data file for latter analysis. After all, their distribution of the pressure and shear stress parameters can be displayed and be analyzed easily by using the developed program with matlab GUI technique. The independent parameters such as a number of embossing and a slope of the embossed surface slider are used for discussing simulation parameters of pressure distribution, shear stress and load carrying capacity of the round embossing. These study results reported in this paper should be applied to the other shaped slider bearing with a rectangular embossed surface or rectangular waved surface.