• 제목/요약/키워드: Integral Equation

검색결과 1,025건 처리시간 0.028초

적분 방정식을 이용한 도선 산란체 및 안테나의 과도응답 해석 (Analysis of Transient Response from Conducting Wire Scatterer and Antenna Using Integral Equation)

  • 정백호;서정훈;윤희상
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제51권11호
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    • pp.559-566
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    • 2002
  • In this paper, we present an accurate and stable method for the solution of the transient electromagnetic response from the conducting wire structures using the time domain integral equation. By using an implicit scheme with the central finite difference approximation for the time domain electric field integral equation, we obtain the transient response from a wire scatterer illuminated by a plane wave and a conducting wire antenna with an impressed voltage source. Also, we consider a wire above a 3-dimensional conducting object. Numerical results are presented, which show the validity of the presented methodology, and compared with a conventional method using backward finite difference approximation.

파중 전진하는 선체에 의한 방사파-산란파 문제의 해법에 적용되는 Green 적분방정식의 정확한 도출 (The Exact Formulation of the Green Integral Equation Applied to the Radiation-Diffraction Problem for a Surface Ship Advancing in Waves)

  • 홍도천
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2000년도 춘계학술대회 논문집
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    • pp.23-28
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    • 2000
  • The Green integral equation for the calculation of the forward-speed time-harmonic radiation-diffraction potentials IS derived. The forward-speed Green function presented by Brard is used and the correct free surface boundary condition for the Green function is imposed. The cause of the mistakes in the existing Green integral equation is also pointed out.

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혼합 수치해석 방법을 이용한 무한고체의 탄성해석 (Elastic Analysis of Unbounded Solids Using a Mixed Numerical Method)

  • 이정기;허강일
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.341-348
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    • 2001
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic 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 or isotropic inclusions. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, 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 or isotropic inclusions.

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Numerical Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for a Half-Immersed Cylinder in Wave and Current

  • Hong, Do-Chun
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2000년도 추계학술대회 논문집
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    • pp.184-188
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    • 2000
  • The improved Green integral equation of overdetermined type applied to the radiation problem for an oscillating cylinder in the presence of weak current is presented. A two-dimensional Green function for the weak current is also presented. The present numerical solution of the Improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the usual Green integral equation.

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유한영역에서의 모드 III 꺾인균열 해석을 위한 적분방정식 적용연구 (AN INTEGRAL EQUATION FOR KINKED CRACKS APPLIED TO MODE III IN FINITE PLANE BODIES)

  • Sur, Ukhwan
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권1호
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    • pp.111-129
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    • 1998
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane(modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.

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Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

  • Hong, Do-Chun;Lee, Chang-Sup
    • Journal of Ship and Ocean Technology
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    • 제6권1호
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    • pp.34-53
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    • 2002
  • Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.

공정분산 관리를 위한 누적합 관리도 (Cusum control chart for monitoring process variance)

  • 이윤동;김상익
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2006년도 춘계학술대회
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    • pp.135-141
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    • 2006
  • Cusum control chart is used for the purpose of controling the process mean. We consider the problem related to cusum chart for controling process variance. Previous researches have considered the same problem. The main difficulty shown in the related researches was to derive the ARL function which characterizes the properties of the chart. Sample variance, differently with sample mean, follows chi-squared type distribution, even when the quality characteristics are assumed to be normally distributed. The ARL function of cusum is described by a type of integral equation. Since the solution of the integral equation for non-normal distribution is not known well, people used simulation method instead of solving the integral equation directly, or approximation method by taking logarithm of the sample variance. Recently a new method to solve the integral equation for Erlang distribution was published. Here we consider the steps to apply the solution to the problem of controling process variance.

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ON THE ROBUSTNESS OF CONTINUOUS TRAJECTORIES OF THE NONLINEAR CONTROL SYSTEM DESCRIBED BY AN INTEGRAL EQUATION

  • Nesir Huseyin;Anar Huseyin
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권2호
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    • pp.191-201
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    • 2023
  • In this paper the control system described by Urysohn type integral equation is studied. It is assumed that control functions are integrally constrained. The trajectory of the system is defined as multivariable continuous function which satisfies the system's equation everywhere. It is shown that the set of trajectories is Lipschitz continuous with respect to the parameter which characterizes the bound of the control resource. An upper estimation for the diameter of the set of trajectories is obtained. The robustness of the trajectories with respect to the fast consumption of the remaining control resource is discussed. It is proved that every trajectory can be approximated by the trajectory obtained by full consumption of the control resource.

ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATION OF TYPE VOLTERRA-HAMMERSTEIN

  • El-Borai, M.M.;Abdou, M.A.;El-Kojok, M.M.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권1호
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    • pp.1-17
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    • 2008
  • Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Hammerstein. Also, the normality and continuity of the integral operator are discussed. A numerical method is used to obtain a system of nonlinear integral equations in position. The solution is obtained, and many applications in one, two and three dimensionals are considered.

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주파수 특성을 고려한 송전선 보호용 적분근사거리계전 알고리즘의 최적 적분 계수 결정 (Optimal Solution of integral Coefficients in Distance Relaying Algorithm for T/L Protection considering Frequency Characteristics)

  • 조경래;홍준희;정병태;조정현;박종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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    • pp.42-44
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    • 1994
  • This paper presents the method of estimating integral coefficients of new distance relaying algorithm for transmission line protection. The proposed method is based on the differential equation calculates impedance value by approximation of integral term of integro-differential equation which relate voltage with current. As a result, we can determine the integral coefficients in least square error sense in frequency domain and we take into consideration the analog filter characteristics and frequency domain characteristics of the system to be protected. The simulation results showed that these coefficients can be successfully used to obtain impedance value in distance relay.

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