• 제목/요약/키워드: Integral Equation

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FW-H 방정식에서 적분표면의 크기가 유동소음 해석결과에 미치는 영향 (Size Effect of Integral Surface of FW-H Equations on Prediction of Aeroacoustic Noise)

  • 유승원;이종수;민옥기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.416-421
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    • 2001
  • This paper presents the numerical prediction of sound generated by viscous flow past a circular cylinder. The two dimensional flow field is predicted using FEM based Reynolds-averaged Navier-Stokes solver, and the calculated unsteady fluid field values are utilized by an acoustic code that implements Ffowcs Willianms-Hawkings(FW-H) equation. The integration surface used in acoustic analysis is extended from the cylinder surface to permeable surfaces. The 2D based CFD calculations overpredict the acoustic amplitude, however, if adequate correlation length is used, the predicted acoustic amplitude agrees well with experiment. The predictions using extended integral surface in FW-H equation show results that contain the characteristics of quadrupole - volume integration - noise term, and do not vary seriously with the integral surface location.

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

  • 이정기;구덕영
    • 대한기계학회논문집A
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    • 제32권2호
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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.

변위 불연속 방법에 의한 모드 III 꺾인 균열 해석 연구 (A Study on Mode III Kinked Crack Analysis Using Displacement-Discontinuity Method)

  • 서욱환
    • Journal of Welding and Joining
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    • 제18권4호
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    • pp.104-110
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    • 2000
  • 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.implicity.

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제한된 범위의 역산란 포텐셜을 갖는 Gel'fand-Levitan-Marchenko 적분방정식의 해와 유전율 분포 합성에의 응용 (Solution of Gel'fand-Levitan-Marchenko Integral Equation with Restricted Inverse Scattering Potential and Its Applications to Synthesis of Dielectric Constant Distribution)

  • 장완규;정현수;박의준
    • 한국전자파학회:학술대회논문집
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    • 한국전자파학회 2003년도 종합학술발표회 논문집 Vol.13 No.1
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    • pp.54-58
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    • 2003
  • In this study, the solution of Gel'fand-Levitan-Marchenko integral equation in the inverse scattering problem is efficiently solved for arbitrarily specified spectra pattern which are reflected from the restricted potential. The procedure is based on the successive approach without iterations. This method lessens the truncation errors which plague conventional design schemes using specific windows for reflection coefficients. It is shown that the method is adequate for the synthesis of the continuously varying one-dimensional potential of the nonuniformly distributed dielectric constants.

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이방성 함유체가 포함된 무한고체의 효과적인 탄성해석을 위한 수치해석 방법 개발 (Development of a Numerical Method for Effective Elastic Analysis of Unbounded Solids with Anisotropic Inclusions)

  • 최성준;이정기
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.41-52
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    • 1998
  • A volume integral equation method and a mixed volume and boundary integral equation method are presented for the solution of plane elastostatic problems in solids containing orthotropic inclusions and voids. The detailed analysis of the displacement and stress fields are developed for orthotropic cylindrical and elliptic-cylindrical inclusions and voids. The accuracy and effectiveness of the new methods are examined through comparison with results obtained from analytical and boundary integral equation methods. Through the analysis of plane elastostatic problems in unbounded isotropic matrix containing orthotropic inclusions and voids, it is established that these new methods are very accurate and effective for solving plane elastostatic and elastodynamic problems in unbounded solids containing general anisotropic inclusions and voids or cracks.

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항만내의 파도 응답에 관한 수치 계산 (Numerical Methods for Wave Response in Harbor)

  • 김대준;배광준
    • 대한조선학회지
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    • 제25권3호
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    • pp.3-12
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    • 1988
  • A natural or an artificial harbor can exhibit frequency(or period) dependent water surface oscillations when excited by incident waves. Such oscillations in harbors can cause significant damage to moored ships and adjacent structures. This can also induce undesirable current in harbors. Many previous investigators have studied various aspects of harbor resonance problem. In the percent paper, both a localizes finite element method(LFEM) which is based on the functional constructed by Chen & Mei(1974) and Bai & Yeung(1974) and an integral equation method which was used by Lee(1969) are applied to harbor resonance problem. The present method(LFEM) shows computationally more efficient than the integral equation method. Our test results shows good agreement compared with other results. This enhanced computational efficiency is due to the fact that the present method gives a banded symmetric coefficients matrix and requires much less computational time in the calculation of the influence coefficients matrix than the integral equation method involved with Green's function. To test the present numerical scheme, two models are treated here. The present method(LFEM) can be extended to a fully three dimensional harbor problem with the similar computational advantage.

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유전체로 코팅된 임의 형태 도체의 안정된 전자파 산란 해석 (Stable Analysis of Electromagnetic Scattering from Arbitrarily Shaped Conductors Coated with a Dielectric Material)

  • 한상호;정백호
    • 한국전자파학회논문지
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    • 제14권11호
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    • pp.1225-1231
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    • 2003
  • 본 논문에서는 유전체로 코팅된 3차원 임의 형상 도체의 전자파 산란 문제를 해석할 수 있는 결합적분방정식 (combined field integral equation, CFIE)의 해법을 제안한다. 본 논문의 목적은 구조물의 내부 공진주파수에서도 CFIE로부터 안정된 해를 얻을 수 있음을 보이는 것이다. 유전체로 코팅된 도체 구조에 대하여 제안된 방법으로 계산된 레이더 단면적(radar cross section, RCS)을 보이고 다른 방법에 의한 해들과 비교한다.

쌍적분 방정식을 이용한 완전도체쐐기의 점근해 유도, I : E-분극된 평면파 입사시 (Derivation of an Asymptotic solution for a Perfect Conducting Wedge by Using the Dual Integral Equation, Part I : E-Polarized Plane Wave Incidence)

  • 하헌태;나정웅
    • 전자공학회논문지D
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    • 제35D권12호
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    • pp.21-29
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    • 1998
  • E-분극된 평면파가 입사되는, 임의의 쐐기각을 갖는 완전도체쐐기에 대해 파수영역에서의 쌍적분 방정식을 유도하였다. 급수전개된 완전도체쐐기의 정확한 경계면 전자파를 파수영역에서의 쌍적분 방정식에 대입하여 해석적으로 적분함으로써 점근해를 유도하였다. 가상공간에서 적분 결과가 0이 되는 것을 보임으로써 적분과정의 타당성을 보였다.

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An iteration approach for multiple notch problem based on complex variable boundary integral equation

  • Chen, Y.Z.
    • Structural Engineering and Mechanics
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    • 제41권5호
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    • pp.591-604
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    • 2012
  • This paper provides an iteration approach for the solution of multiple notch problem, which is based on the complex variable boundary integral equation (CVBIE). The contours of notches are applied by some loadings. The source points are assumed on the boundary of individual notch and the displacements along the boundaries become unknowns to be investigated. After discretization of the BIE, many influence matrices are obtained. One does not need to assemble many influence matrices into a larger matrix. This will considerably reduce the work in the program. The displacements along the many boundaries can be obtained from an iteration. There is no limitation for the configuration of notches. Several numerical examples are provided to prove the efficiency of the suggested approach.

Műller Formulation for Analysis of Scattering from 3-D Dielectric Objects with Triangular Patching Model

  • Lee, Chang-Hyun;Cho, Jin-Sang;Jung, Baek-Ho;Sarkar Tapan K.
    • Journal of Electrical Engineering and Technology
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    • 제2권1호
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    • pp.129-135
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    • 2007
  • In this paper, we present a set of numerical schemes to solve the Muller integral equation for the analysis of electromagnetic scattering from arbitrarily shaped three-dimensional (3-D) dielectric bodies by applying the method of moments (MoM). The piecewise homogeneous dielectric structure is approximated by planar triangular patches. A set of the RWG (Rao, Wilton, Glisson) functions is used for expansion of the equivalent electric and magnetic current densities and a combination of the RWG function and its orthogonal component is used for testing. The objective of this paper is to illustrate that only some testing procedures for the Muller integral equation yield a valid solution even at a frequency corresponding to an internal resonance of the structure. Numerical results for a dielectric sphere are presented and compared with solutions obtained using other formulations.