• Title/Summary/Keyword: 그린 함수법

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Numerically Efficient Evaluation of MoM Matrix in Conjunction with the Closed-form Green s Functions in Analysis of Multi-layered Planar Structures (다층 평판구조체 해석시 Closed-form 그린함수와 함께한 모멘트 행렬의 효율적인 수치계산)

  • 이영순;김병철;조영기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.1
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    • pp.92-98
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    • 2001
  • When analyzing the scatting problem of multi-layered planar structures using closed-form Green's function, one of the main difficulties is that the numerical integrations for the evaluation of diagonal matrix elements converge slowly and are not so stable. Accordingly, even when the integration fur the singularity of type $e^{-jkr}/{\gamma}$, corresponding to the source dipole itself, is performed using such a method, this difficulty persists in the integration corresponding to the finite number of complex images. In order to resolve this difficulty, a new technique based upon the Gaussian quadrature in polar coordinates for the evaluation of the two-dimensional generalized exponential integral is presented. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of a microstrip patch antenna.

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Green Supply Chain Network Model: Genetic Algorithm Approach (그린 공급망 네트워크 모델: 유전알고리즘 접근법)

  • Yun, Young Su;Chuluunsukh, Anudari
    • Journal of Korea Society of Industrial Information Systems
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    • v.24 no.3
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    • pp.31-38
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    • 2019
  • In this paper, we design a green supply chain (gSC) network model. For constructing the gSC network model, environmental and economic factors are taken into consideration in it. Environmental factor is to minimize the $CO_2$ emission amount emitted when transporting products or materials between each stage. For economic factor, the total cost which is composed of total transportation cost, total handling cost and total fixed cost is minimized. To minimize the environmental and economic factors simultaneously, a mathematical formulation is proposed and it is implemented in a genetic algorithm (GA) approach. In numerical experiment, some scales of the gSC network model is presented and its performance is analyzed using the GA approach. Finally, the efficiencies of the gSC network model and the GA approach are proved.

Analysis of Rectangular Ring Microstrip Antenna (사각 링 마이크로스트립 안테나 해석)

  • 서동국;박병우
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.1
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    • pp.60-67
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    • 2004
  • In this paper, a rectangular ring microstrip patch antenna has been analyzed by using desegmentation method and evaluation impedance matrices from Green's functions fur rectangular segment and desegmentation method for analysis of planar electro-magnetic structures is discussed. As the rectangular ring cavity could be seen as a structure subtracted a small rectangular cavity from a large one, the overall impedance matrix was obtained by applying a multiport connection method to the individual impedance matrices expressed as a term of Green's function fer rectangular segment. The electromagnetic fields can be solved from a vector potential which is satisfied it's eight boundary conditions. The electric field distribution at each edges was expressed as a histogram table with exciting modes. These results can be used to analyze the operational modes for a rectangular ring microstrip antennas.

Analysis of a Rectangular Microstrip Patch Antenna on a Uniaxial Anisotropic Substrate Loaded by Superstrate (덮개층을 갖는 일축성 매질 위의 마이크로스트립 패치 안테나 해석)

  • 박종규;장승호;윤중한;안규철;곽경섭
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.6B
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    • pp.693-700
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    • 2001
  • 본 논문에서는 유전체 덮개층을 갖는 일축성 매질에서 마이크로스트립 패치 안테나의 공진 주파수와 입력 임피던스, 방사패턴에 대해 연구하였다. 제안된 구조의 구성관계식으로부터 파수영역 다이애딕 그린 함수를 유도하여 전계 적분 방정식을 계산해 낸 후에 갤러킨 모멘트법으로 이산화하여 행렬형태로 표현하였다. 수치 해석적 수렴을 고려하여 사용된 기저 함수는 패치 위의 실제 전류밀도와 가장 유사한 형태인 정현적 기저함수를 선택하였다. 수치해석 결과로 기판의 유전율 변화와 덮개층의 두께 변화와 공진 주파수와 입력 임피던스 그리고 방사 패턴에 미치는 영향에 대해 논의하였다.

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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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Numerical Study of the Radiation Potential of a Ship Using the 3D Time-Domain Forward-Speed Free-Surface Green Function and a Second-Order BEM (3 차원 시간영역 전진속도 자유표면 Green 함수와 2 차 경계요소법을 사용한 선체의 방사포텐셜 수치계산)

  • Hong, Do-Chun;Hong, Sa-Young
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.3
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    • pp.258-268
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    • 2008
  • The radiation potential of a ship advancing in waves is studied using the 3D time-domain forward-speed free-surface Green function and the Green integral equation. Numerical solutions are obtained by making use of the 2nd order BEM(Boundary Element Method) which make it possible to take account of the line integral along the waterline in a rigorous manner. The 6 degree of freedom motion memory functions of a hemisphere and the Wigley seakeeping model obtained by direct integration of the time-domain 3D potentials over the wetted surface are presented for various Froude numbers.

Three-Dimensional Magnetotelluric Modeling Using Integral Equations (적분방정식을 이용한 3차원 지자기 지전류 모델링)

  • Kim, Hee Joon;Lee, Dong Sung
    • Economic and Environmental Geology
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    • v.27 no.2
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    • pp.191-199
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    • 1994
  • We have developed an algorithm based on the method of integral equations to simulate the magnetotelluric (MT) responses of three-dimensional (3-D) bodies in a layered half-space. The inhomogeneities are divided into a number of cells and are replaced by an equivalent current distribution which is approximated by pulse basis functions. A matrix equation is constructed using the electric Green's tensor function appropriate to a layered earth, and is solved for the vector current in each cell. Subsequently, scattered fields are found by integrating electric and magnetic Green's tensor functions over the scattering current About a 3-D conductive body near the earth's surface, interpretation using 2-D transverse electric modeling schemes can imply highly erratic low resistivities at depth. This is why these routines do not account for the effect of boundary charges. However, centrally located profiles across elongate 3-D prisms may be modeled accurately with a 2-D transverse magnetic algorithm, which implicitly includes boundary charges in its formulation. Multifrequency calculations show that apparent resistivity and impedance phase are really two complementary parameters. Hence, they should be treated simultaneously in broadband MT interpretation.

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Wave Control by Two-Rowed Fixed Floating Breakwaters near the Water Surface (수면부근에 설치된 이열고정부방파제에 의한 파랑제어의 해석)

  • 김도삼;이재석;이봉재
    • Journal of Ocean Engineering and Technology
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    • v.15 no.4
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    • pp.1-7
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    • 2001
  • Mainly, Floating Breakwaters (FBs) have been constructed in many coastal regions due to the advantages of the coastal environment and construction cost. In general, the FB becomes fixed or its width broadened because the movement of the FB comes to be large and its the wave control function lower for the long period incident waves. This study discusses the wave control function of two-rowed Fixed Floating Breakwater (FFBs) that have narrower width than that of the one-rowed FFB by using numerical approach. Boundary Element Method (BEM) based on the Green formula and Eigenfunction Expansion Method (EEM) are applied to evaluate the three-dimensional wave transformation near the wave fields of two-rowed FFBs. The validity of the present study is confirmed by comparing it with the results of Ijima et al. (1974) and Yoshida et al. (1992) for the one-rowed Fixed Floating Structure. It is revealed that the wave control function of two-rowed FFBs is more effective than that of the one-rowed FFB.

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Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method (체적 적분방정식법을 이용한, 다수의 함유체를 포함한 반무한 고체에서의 탄성해석)

  • Lee, Jung-Ki;Ku, Duck-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.2
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    • pp.148-161
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    • 2008
  • A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions subject to remote loading. A detailed analysis of stress field at the interface between the matrix and the central inclusion in the first column of square packing is carried out for different values of the distance between the center of the central inclusion in the first column of square packing of inclusions and the traction-free surface boundary in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions.

2 D Computer Simulation of Laser-Generated Ultrasonic Wave (레이저 여기 초음파의 2차원 컴퓨터 시뮬레이션)

  • Kim, Gyeong-Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1847-1853
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    • 2000
  • A computer simulation technique for 2-dimensional laser generated ultrasonic waves was developed for visualization and investigation of ultrasonic propagation in solids. The technique is similar to a finite difference method (FDM) and a mass-particle model method, but uses a new nodal calculation method based on fundamental consideration of an elastic wave equation. By this method, the propagation behavior oflaser generated ultrasonic wave in thermoelastic and ablation mode is visualized and shows good agreement with previous experimental result or the numerical analysis result by Green function.