• 제목/요약/키워드: Boundary Integral Method

검색결과 389건 처리시간 0.027초

선전류에 의해 발생되는 자장의 해석을 위한 유한요소법과 해석해의 결합 기법 (Analysis of Magnetic Fields Induced by Line Currents using Coupling of FEM and Analytical Solution)

  • 김영선;조대훈;이기식
    • 전기학회논문지P
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    • 제55권3호
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    • pp.141-145
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    • 2006
  • The line current problem(2-dimensional space : point source) is not easy to analyze the magnetic field using the standard finite element method(FEM), such as overhead trolley line or transmission line. To supplement such a defect this paper is proposed the coupling scheme of analytical solution and FEM. In analysis of the magnetic field using the standard FEM. If the current region is a relatively small compared to the whole region. Therefore the current region must be finely divided using a large number of elements. And the large number of elements increase the number of unknown variables and the use of computer memories. In this paper, an analytical solution is suggested to supplement this weak points. When source is line current and the part of interest is far from line current, the analytical solution can be coupling with FEM at the boundary. Analytical solution can be described by the multiplication of two functions. One is power function of radius, the other is a trigonometric function of angle in the cylindrical coordinate system. There are integral constants of two types which can be established by fourier series expansion. Also fourier series is represented as the factor to apply the continuity of the magnetic vector potential and magnetic field intensity with tangential component at the boundary. To verify the proposed algorithm, we chose simplified model existing magnetic material in FE region. The results are compared with standard FE solution. And it is good agreed by increasing harmonic order.

축대칭 문제에서의 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems)

  • 이성희;심우진
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.207-216
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    • 2003
  • 본 논문에서는 균열을 지닌 축대칭 문제를 해석하기 위하여 시간적분형 운동방정식을 바탕으로 한 유한요소 해법을 제시한다. 유한요소메쉬는 8절점 등매개변수 사변형 요소와 균열선단에서의 1/4절점 삼각형 특이요소로 구성되며, 동적 응력확대계수는 균열면상의 1/4절점의 y방향 변위로부터 구한다. 제시된 해법의 정확성과 타당성을 검증하기 위하여 내부에 원환균열을 지닌 무한 탄성체가 균열면상에서 충격하중을 받을 때의 동적 응력확대계수를 계산하고 타 수치결과와 비교 검토하였다. 응용 예제로서 원환균열과 원주균열을 지닌 중실축과 중공축의 동적 응력확대계수를 균열의 길이와 축의 길이에 따른 영향을 자세히 조사하였다. 균열길이가 커지면 동적 응력확대계수가 커지고, 축의 길이가 길어지면 동적 응력확대계수 곡선의 폭도 함께 증가됨을 확인하였다. 그리고 균열의 위치가 안쪽에 포함될 경우보다는 바깥쪽에 포함될 때 더 큰 동적 응력확대계수가 발생됨을 밝힌다.

Indirect Method를 이용한 헬리콥터 기동비행 해석 - Part II. High Fidelity 헬리콥터 모델링의 사용 가능성 (The Analysis of Helicopter Maneuvering Flight Using the Indirect Method - Part II. Applicability of High Fidelity Helicopter Models)

  • 김창주;양창덕;김승호;황창전
    • 한국항공우주학회지
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    • 제36권1호
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    • pp.31-38
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    • 2008
  • 본 논문은 헬리콥터 기동비행문제를 비선형 최적제어기법으로 정식화 하고 이를 indirect method를 적용하여 해석하는 기법에 대한 연구결과이다. 주어진 기동비행 경로에 대한 오차를 벌칙함수 형태의 가격함수로 채택하고 이를 최소화하도록 정식화하면 기동비행은 구속조건이 없는 최적제어문제로 정식화 된다. 정식화 결과로 얻어지는 이점 경계값 문제는 Multiple Shooting Method (MSM)를 적용하여 해석하였다. 본 논문은 high fidelity 헬리콥터 모델링을 적용할 경우 수치해의 불안정성과 과도한 계산시간에 따른 해석의 어려움을 해소하는 방안을 찾는데 초점을 두고 있다. 이를 위해 2가지의 선형모델과 로터의 비선형 모델링을 포함한 2개의 비선형 모델을 정의하였다. 각 모델링 방법의 적용에 따른 수치해석결과를 상대적인 계산시간과 함수계산 횟수 등을 비교하여 헬리콥터 모델 선정 시 활용할 수 있도록 하였다.

비대칭 공기흡입구를 통해 전파하는 소음의 방사특성에 관한 수치적 연구 (Numerical Investigation on Radiation Characteristics of Noise Propagating through Asymmetry Aero-Intake)

  • 박용환;김민우;이규호;이수갑
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.1476-1481
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    • 2007
  • Numerical investigation on radiation characteristics of discrete frequency noise from asymmetry aero-intakes was carried out. The near-field predictions were obtained by solving the linearized Euler equations with computational aeroacoustic techniques consisting of high order finite difference scheme, non-reflecting boundary conditions, oversetgrid techniques. For the prediction of far-field directivity pattern, the Kirchhoff integral method was applied. By comparing the directivities of noise radiating from the scarf and the scoop aero-intakes with that from an axisymmetric aero-intake, it is shown that noise reduction at downward peak radiation angle can be achieved. The scattering of the radiating acoustic wave by background mean flow shifts the peak lobe radiation angle toward ground and increases the amplitude of the acoustic pressure compared with the cases without mean flow effect.

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항만(港灣) 및 해안공학파군(海岸工學波群)에 따른 장주기파(長週期波)와 항만(港灣)의 진동(振動) (Group-Bounded Long Waves and Harbor Oscillation)

  • 이철응;이길성
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.607-618
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    • 1994
  • 항만(港灣)의 진동(振動)을 일으키는 발생원인(發生原因)을 규명하고자 항만(港灣) 진동해석(振動解析)에서 현재까지 고려되지 않았던 파군효과(波群效果)를 고려하였다. 동해항(東海港)과 임원항(臨院港)에 대한 항만의 공진주기는 경계적분(境界積分) 방정식법(方程式法)으로 구하였으며, 동해항(東海港) 입구에서 관측된 불규칙(不規則) 파군(波群)에 따른 장주기파(長週期波)는 잉여응력(剩餘應力) 이론(理論)과 에너지 이력개념(履歷槪念)을 이용하여 유도된 이론식(理論式)으로 구하였다. 주기(週期)의 관점에서 해석할 때 파군(波群)에 따른 장주기파(長週期波)는 어항(漁港)과 같은 소규모 항만(港灣)에 큰 진동을 일으킬 수 있으며, 산업항(産業港)과 같은 대규모 항만(港灣)에는 정박중인 선박(船舶)의 동요(動搖)를 일으키는 에너지원(源)이 될 수 있음을 규명(糾明)하였다.

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Nonlinear interaction behaviour of infilled frame-isolated footings-soil system subjected to seismic loading

  • Agrawal, Ramakant;Hora, M.S.
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.85-107
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    • 2012
  • The building frame and its foundation along with the soil on which it rests, together constitute a complete structural system. In the conventional analysis, a structure is analysed as an independent frame assuming unyielding supports and the interactive response of soil-foundation is disregarded. This kind of analysis does not provide realistic behaviour and sometimes may cause failure of the structure. Also, the conventional analysis considers infill wall as non-structural elements and ignores its interaction with the bounding frame. In fact, the infill wall provides lateral stiffness and thus plays vital role in resisting the seismic forces. Thus, it is essential to consider its effect especially in case of high rise buildings. In the present research work the building frame, infill wall, isolated column footings (open foundation) and soil mass are considered to act as a single integral compatible structural unit to predict the nonlinear interaction behaviour of the composite system under seismic forces. The coupled isoparametric finite-infinite elements have been used for modelling of the interaction system. The material of the frame, infill and column footings has been assumed to follow perfectly linear elastic relationship whereas the well known hyperbolic soil model is used to account for the nonlinearity of the soil mass.

Free vibrations of laminated composite plates using a novel four variable refined plate theory

  • Sehoul, Mohammed;Benguediab, Mohamed;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제24권5호
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    • pp.603-613
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    • 2017
  • In this research, the free vibration response of laminated composite plates is investigated using a novel and simple higher order shear deformation plate theory. The model considers a non-linear distribution of the transverse shear strains, and verifies the zero traction boundary conditions on the surfaces of the plate without introducing shear correction coefficient. The developed kinematic uses undetermined integral terms with only four unknowns. Equations of motion are obtained from the Hamilton's principle and the Navier method is used to determine the closed-form solutions of antisymmetric cross-ply and angle-ply laminates. Numerical examples studied using the present formulation is compared with three-dimensional elasticity solutions and those calculated using the first-order and the other higher-order theories. It can be concluded that the present model is not only accurate but also efficient and simple in studying the free vibration response of laminated composite plates.

대진폭강제동요시(大振幅强制動搖時)의 비선형유체력(非線型流體力)에 관한 연구(硏究) (On the Nonlinear Hydrodynamic Forces due to Large Amplitude Forced Oscillations)

  • 황종흘;김용직;김선영
    • 대한조선학회지
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    • 제23권2호
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    • pp.1-13
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    • 1986
  • The nonlinear hydrodynamic forces acting on a two-dimensional circular cylinder, oscillating with large amplitude in the free surface, are calculated by using the Semi-Lagrangian Time-Step-ping Method used by O.M. Faltinsen. In present calculation the position and the potential value of free surface are calculated using the exact kinematic and dynamic free surface boundary condition. At each time step an integral equation is solved to obtain the value of potential and normal velocity along the boundaries, consisting of both the body surface and the free surface. Some effort was devoted to the elimination of instability arising in the range of high frequency. Numerical simulations were performed up to the 3rd or 4th period which seems to be enough for the transient effect to die out. Each harmonic component and time-mean force are obtained by the Fourier transform of forces in time domain. The results are compared with others' experimental and theoretical results. Particularly, the calculation shows the tendency that the acceleration-phase 1st-harmonic component(added mass) increases as the motion amplitude increases and a reverse tendency in the velocity-phase 1st-harmonic component(damping coefficient). The Yamashita's experimental result also shows the same tendency. In general, the present result show relatively good agreement with the Yamashita's experimental result except for the time-mean force.

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고온하 304 스테인리스강의 크리프-피로상호작용하의 미소표면균열에 관한 파괴거동 (Micro-Surface-Cracks Behavior of 304 Stainless Steel Under Creep-Fatigue Interaction at Elevated Temperature)

  • 서창민;이상돈;조일현
    • 한국해양공학회지
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    • 제2권2호
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    • pp.104-111
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    • 1988
  • This paper deals with the micro-surface-cracks behavior on the unnotched smooth specimens of Type 304 stainless steel at $593^{\circ}C$ in air under creep and creep-fatigue conditions that have 10 mim and 1 min load holding times respectively. The behaviors of the micro-surface-cracks have been visualized by means of surface replica method and optical micro-photography. The quantitative characteristics of initiation, growth and coalescence of micro-surface-cracks have been investigated by observing and measuring the crack growth behaviors. some of the important results are as follows: Main crack initiates at grain boundary in the early stage(10 to 20%)of its life time and grows through coalescence and finally leads to fracture. The distribution of micro-surface-crack length, 2a, can be plotted against the composite Weibull distribution. The growth rate of the main crack can be plotted against the stress intensity factor, crack tip opering displacement and J integral.

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로터 시스템 회전운동의 정식화 및 해석 (Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method)

  • 윤성호;임리민
    • 한국전산구조공학회논문집
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    • 제21권5호
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    • pp.475-482
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    • 2008
  • 본 논문은 로터 시스템의 디스크 회전운동을 표현하는데 있어 운동방정식을 통합하는 과정에서 기존 연구자들이 채택한 오일러 각 사용법이 일관성이 없음을 지적하였다. 기존 연구자들은 오일러 각 순서가 달라서 속도와 운동에너지도 달리 산정하였음은 물론, 운동방정식은 오직 선형 시스템만 취급해 왔다 이러한 오일러 각 사용법의 단점을 극복하기 위하여 회전운동을 더욱 단순하게 매개화할 수 있는 4원법(quaternion)과 구 좌표계를 적용하여 비선형 시스템을 도출하였다. 이를 바탕으로 수치해석을 통하여 기존 방법과 비교하여 제안한 방법의 신뢰성과 우수성을 보였다.