• Title/Summary/Keyword: 경계 적분법

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Explicit and Implicit Dynamic Analysis Using MLS Difference scheme (이동최소제곱 차분법을 이용한 explicit 및 implicit 2차원 동적해석)

  • Kim, Kyeong-Hwan;Lee, Sang-Ho;Yoon, Young-Cheol
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.719-722
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    • 2011
  • 본 연구에서는 이동최소제곱 차분법을 2차원 동적고체문제를 해석하기 위하여 확장시켰으며 Newmark ${\beta}$ 방법을 통해 explicit와 implicit 시간적분법을 모두 적용하여 그 차이를 비교하였다. 이동최소제곱 차분법은 Taylor 다항식을 이용하여 미분계산을 근사화 함으로써 내부 및 경계에서도 강형식을 그대로 이용할 수 있다. 그래서 계산이 빠르고 수치적분이 필요하지 않아 무요소법의 장점을 잘 살릴 수 있고 해석차수를 손쉽게 조정할 수 있어 cubic 등의 고차 근사계산이 간편하다. 두 가지 수치예제를 통하여 동적해석에 대한 이동최소제곱 차분법의 적용성과 안정성을 검증하였다.

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Wave Force Analysis Acting on a Vertical Circular Cylinder by Boundary Element Method (경계요소법에 의한 수직원주에 작용하는 파력해석)

  • Kim, Nam-Hyeong;Park, Min-Su
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1910-1913
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    • 2006
  • To solve the interaction of incident monochromatic waves with a bottom-fixed vertical circular cylinder, a numerical analysis by boundary element method is developed using three-dimensional linear potential theory. A numerical analysis by boundary element method is based on Green's theorem and introduce to an integral equation for the fluid velocity potential around the vertical circular cylinder. These numerical results are compared with those of ManCamy and Fuchs(1954) and Williams and Mansour(2002), and it has shown good relationship with their results. This numerical analysis developed by boundary element method will be applied for various offshore structures to be constructed in coastal zones in the future.

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A Boundary Method for Shape Design Sensitivity Analysis in Shape Optimization Problems and its Application (경계법을 이용한 형상최적화 문제의 설계민감도 해석 및 응용)

  • Kwak Hyun-Gu;Choi Joo-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.255-263
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    • 2005
  • This paper proposes an efficient boundary-based technique for the shape design sensitivity analysis in various disciplines. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in the problems. The formula can be conveniently used for gradient computation in a variety of shape design problems. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite. Perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The potential flow problems and fillet problem are chosen to illustrate the efficiency of the proposed methodology.

Analysis of waveguide iris using FEM-BIM its application to waveguide filter design (유한 요소 경계 적분법을 이용한 구형 도파관 내 임의의 형상 iris 해석 및 도파관 여파기 설계에의 응용)

  • 박종근;남상욱
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.6
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    • pp.1244-1250
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    • 1997
  • An arbitrary shaped iris in rectangular waveguideis investigated using FEM-CDMA with triangularprism elements in this paper. The volume of irisis subdivided into a relatively small number of triangular prism elements and FEM is used to formulate the field distribution. On the other hand, the fields in the waveguide region are represented by BIM derived from the waveguide Green's function and boundary conditions. The proposed method is verified through the design and experiment for the circular iris filter using WR-90 waveguide.

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A Numerical Study on 2-Dimensuional Tank with Shallow Draft (천수에서 2차원 수치파 수조에 대한 계산)

  • 임춘규
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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Elastic Analysis of Unbounded Solids with Anisotropic Inclusions (이방성 함유체를 포함하는 무한고체의 탄성해석)

  • Choe, Seong-Jun;Ra, Won-Seok;Lee, Jeong-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.1993-2006
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    • 1999
  • A Volume Integral Equation Method (VIEM) is applied for the effective analysis of elastic wave scattering problems and plane elastostatic problems in unbounded solids containing general anisotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids. Through the analysis of plane elastodynamic and elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids.

Analysis on the Harbor Tranquility by Boundary Integral Equation Method (경계적분 방정식법에 의한 항내 청정도 해석)

  • 이철응;편종근;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.4
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    • pp.223-234
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    • 1991
  • In this paper, the harbor tranquility problem is analysed by an improved boundary integral equation method. The effect of the diffracted wave transformation induced by the breakwater and structures located at a harbor mouth is considered. Partial reflection concept is also used to consider energy dissipation effects. The present model is verified by comparing the results of the model for rectangular and semi-circular harbors with the analytic solutions. they show a reasonable agreement. Also the wave height distribution of the HUPO harbor computed using the present model agree well to those from the previous hydraulic model tests. It also shows a good agreement with the results from the time-dependent mild slope equation model.

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Effectiveness of the Angular Spectrum Method for analysis of Acoustic near-field. (근거리 초음파 음장해석에 있어서의 각스펙트럼법의 유효성 검토)

  • 김정순
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1996.10a
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    • pp.8-13
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    • 1996
  • 균질 매질내에 형성되는 근거리 음장의 해석에는 종래 회절 이론에서의 Rayleigh 적분식에 근거한 Lommel 근사식이 주로 이용되어져 왔다. 그러나, 불균질한 매질에서는 그 방법의 적용이 어렵고, 유한요소법등 새로운 방법이 적용되어야 한다. 본 연구에서는 불균질 매질에서의 음장을 해석하는 한 방법으로 Angular Spectrum법을 제안하고, 경계를 가상한 등수온의 물에 대하여 Lommel 근사식에 의해 직접 산출한 음장과 Angular Spectrum법을 적용하여 산출한 음장을 서로 비교함으로써 그 유효성을 검토하였다.

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Transonic Aeroelastic Analysis of a Airfoil with Friction Damping (마찰 감쇠를 고려한 에어포일의 천음속 공탄석 해석)

  • Yoo, Jae-Han;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.11
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    • pp.1075-1080
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    • 2010
  • For the aeroelastic analysis of a wing with friction damping, coupled time integration method was used to obtain time responses in the subsonic and transonic regions. To take into account aerodynamic nonlinearity induced by shock wave on the lifting surface, transonic small disturbance equation with in-phase periodic boundary condition was used for unsteady aerodynamic calculation. For 2-DOF airfoil system with displace-dependent friction dampers, the effects of normal load slope and Mach number on flutter boundary were investigated.

Nonlinear Analysis of Dynamics of Beams with Special Boundary Conditions (특이 경계 조건을 갖는 보의 동적 비선형 해석)

  • 김정운;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.799-808
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    • 1991
  • 본 연구에서는 연속체 역학의 에너지 원리에서 출발하여, 동적 비선형 해석을 위한 유한요소 식들을 유도하고, 이를 이용하여 특이 경계조건을 갖는 고체의 대변위 동적 선형 현상과 비선형 현상에 관하여 연구하고자 한다.