• 제목/요약/키워드: integral equation formulation

검색결과 105건 처리시간 0.029초

Difference field 개념의 경계적분방정식을 이용한 3차원 정자장 해석 (3-D Magnetostatic Field Calculation by a Boundary Integral Equation Method using a Difference Field Concept)

  • 박민철;김동훈;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 B
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    • pp.903-905
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    • 2000
  • For an accurate analysis of three dimensional linear magnetostatic problems, a new boundary integral equation formulation is presented. This formulation adopts difference magnetic field concept and uses single layer magnetic surface charge as unknown. The proposed method is capable of eliminating numerical cancellation errors inside ferromagnetic materials. In additions, computing time and storage memory are reduced by 75% in comparison with the reduced and total scalar potential formulation. Two examples are given to show its efficiency and accuracy.

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혼합 체적-경계 적분방정식법을 이용한 응력확대계수 계산 (Calculation of Stress Intensity Factors Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;이형민
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1120-1131
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    • 2003
  • A recently developed numerical method based on a mixed volume and boundary integral equation method is applied to calculate the accurate stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads. Firstly, 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. Secondly, this method takes full advantage of the capabilities developed in FEM and BIEM. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and volume integral equation method. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

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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혼합 체적-경계 적분방정식법을 이용한 탄성해석 방법 개발 (Development of an Elastic Analysis Technique Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;허강일;진원재
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.775-786
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    • 2002
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of elastic wave scattering problems and 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. In the formulation of this method, the continuity condition at each interface is automatically satisfied, and in contrast to finite element methods, where the full domain needs to be discretized, this method requires discretization of the inclusions only. Finally, this method takes full advantage of the pre- and post-processing capabilities developed in FEM and BIEM. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, and the analysis of plane wave scattering problems in unbounded isotropic matrix with isotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane wave scattering problems and plane elastic problems in unbounded solids containing general anisotropic inclusions and voids/cracks or isotropic inclusions.

특수 적분해 경계요소법에 의한 2차원 및 3차원 동적 탄소성 응력 해석 (Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method)

  • 김재석;;박경호
    • 한국전산구조공학회논문집
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    • 제21권4호
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    • pp.375-382
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    • 2008
  • 본 연구는 2차원 및 3차원 동적 탄소성 응력 해석을 위한 특수 적분해 경계요소법의 공식 개발을 제시한다 정적 탄성에 대한 기본식이 일반해를 구하는데 이용되었으며, 전체형상함수 개념을 이용하여, 변위율과 traction rate의 특수 적분해를 구함으로써 지배 방정식의 가속도 부분을 근사화시켰다. 시간 적분을 위하여 Houbolt 시적분 방법을 이용하였으며, Newton-Raphson 알고리즘을 이용하여 수치 연산을 행하였다. 제시된 공식에 따른 예제 해석을 통하여 그 방법의 유효성과 정확성을 설명하였다.

결합 적분방정식을 이용한 삼차원 임의형태 도체 구조물의 전자파 지연산란 해석 (Analysis of Transient Scattering from Arbitrarily Shaped Three-Dimensional Conducting Objects Using Combined Field Integral Equation)

  • 정백호
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제51권11호
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    • pp.551-558
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    • 2002
  • A time-domain combined field integral equation (CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time-domain electric field integral equation (EFIE) with the magnetic field integral equation (MFIE). The time derivative of the magnetic vector potential in EFIE is approximated using a central finite difference approximation and the scalar potential is averaged over time. The time-domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. The incident spectrum of the field may contain frequency components, which correspond to the internal resonance of the structure. For the numerical solution, we consider both the explicit and implicit scheme and use two different kinds of Gaussian pulses, which may contain frequencies corresponding to the internal resonance. Numerical results for the EFIE, MFIE, and CFIE are presented and compared with those obtained from the inverse discrete Fourier transform (IDFT) of the frequency-domain CFIE solution.

A New Integral Variable Structure Controller For Incorporating Actuator Dynamics

  • Lee, Jung-Hoon
    • 전기전자학회논문지
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    • 제10권2호통권19호
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    • pp.97-102
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    • 2006
  • In this paper, a new simple integral variable structure controller is designed with incorporating the actuator dynamics. The formulation of the VSS (variable structure system) controller design includes integral augmented sliding surface and the dynamics of the actuator expressed as the state equation. An illustrative example is given to show the effectiveness of the developed controller.

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임의 형태의 개구에 의한 평행평판 도파관으로의 전자기적 결합 문제 해석을 위한 적분 방정식 방법 (Integral equation formulation for electromagnetic coupling through an arbitrarily shaped aperture into a parallel-plate waveguide)

  • 이영순;이창원;조영기;손현
    • 전자공학회논문지A
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    • 제32A권12호
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    • pp.25-35
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    • 1995
  • An analysis method of electromagnetic coupling through an arbitrarily shaped aperture on the upper wall of parallel-plate waveguide, when excited by an electromagnetic plane wave from outside, is considered. The mixed-potential integral equation, in which Green's functions are expressed in a computationally efficient closed form by using the Prony's method and the Sommerfeld identity, is formulated. Expanding the unknown equivalent magnetic surface current in terms of two-dimensional rooftop-type basis functions and choosing razor testing, the integral equation is reduced to a linear algebraic equation, which is solved. The results are compared with the previous results. Fairly good agreements between them are observed.

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BOR 구조 완전도체의 해석 (Analysis of Perfectly Conducting Body of Revolution)

  • 이직열;정구철
    • 한국통신학회논문지
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    • 제19권2호
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    • pp.225-230
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    • 1994
  • 전자장 해석을 위한 많은 수식들이 전계형 적분방정식으로 수식화되어 여러 가지 수치적인 방법으로 해석되어진다. 일반적으로 이 식은 특이점을 갖는 Kernel로 표현되어지며, 주어진 문제에 따라 식이 간략화 되어지지 않으면 해석시 수직과 프로그램이 복잡하여진다. 본 논문에서는 BOR구조의 도체에 적용할 수 있는 새로운 적분방정식을유도하였으며, 이 식은 직선형 wire도체의 경우에 더욱 간략화 되어진다. 동축선로로 급전되어지는 monopole안테나와 임의의 각도로 입사하는 평면파에 의한 도체의 산란문제를 응용예로서 다루었다.

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