• Title/Summary/Keyword: surface integral method

Search Result 297, Processing Time 0.026 seconds

Eddy Current Analysis In Cover Plate of Power Transformers using Indirect Boundary Integral Equation Method (간접경계적분법을 이용한 변압기 cover plate에서의 와전류 해석)

  • Kim, Sang-Young;Kim, Dong-Hun;Han, Song-Yop
    • Proceedings of the KIEE Conference
    • /
    • 1998.11a
    • /
    • pp.88-90
    • /
    • 1998
  • In this paper, the indirect BIEM(boundary integral equation method) is adopted to analyze 3-D eddy currents in cover plate of power transformer. In indirect BIEM, the equivalent magnetic surface charge density and the eqivalent magnanetic surface current density are the unknowns. Using triangular constant elements, the integral equations are discretized into boundary element equations of minimum order. Eddy currents are obtained in terms of euqivalent magnetic surface sources. And the locad overheating can be predicted using the eddy currents distribution in cover plate of power transformer.

  • PDF

Stress Intensity Factors for an Interlaminar Crack in Composites under Arbitrary Crack Surface Loadings (임의의 균열표면 하중을 받는 복합채 중앙균열의 응력세기계수)

  • Lee, Gang-Yong;Park, Mun-Bok;Kim, Seong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.3
    • /
    • pp.901-909
    • /
    • 1996
  • A model is constructed to evaluate the stress intensity factors(SIFs) for composites with an interlaminar crack subjected to as arbitrary crack surface loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is solved numerically and the mode I and II SIFs are evaluated for various shear modulus ratios between each layer, crack length to layer thickness, each term of crack surface polynomial loading and the number of layers. The mode I and II SIFs for the E- glass/epoxy composites as well as the hybrid composites are also evaluated.

Development of the direct boundary element method for thin bodies with general boundary conditions (일반 경계 조건을 가진 얇은 물체에 대한 직접 경계 요소법의 개발)

  • 이강덕;이덕주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1997.04a
    • /
    • pp.701-708
    • /
    • 1997
  • A direct boundary element method(DBEM) is developed for thin bodies whose surfaces are rigid or compliant. Th eHelmholtz integral equation and its normal derivative integral equation are adopted simultaneously to calculate the pressure on both sides of the thin body, instead of the jump values across it, to account for the different surface conditions of each side. Unlike the usual assumption, the normal velocity is assumed to be discontinuous across the thin body. In this approach, only the neutral surface of the thin body has to be discontinuous across the thin body. In this approach, only the neural surface of the thin body has to be discretized. The method is validated by comparison with analytic and/or numerical results for acoustic scattering and radiation from several surface conditions of the thin body; the surfaces are rigid when stationary or vibrating, and part of the interior surface is lined with a sound-absorbing material.

  • PDF

Crack Analysis of Concrete Gravity Dam subjected to Uplift Pressure using Surface Integral Method (표면적분법을 이용한 양압력이 작용하는 중력식 콘코리트 댐의 균열해석)

  • 진치섭;이영호;엄장섭;김태완
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2000.10a
    • /
    • pp.267-272
    • /
    • 2000
  • The modeling on uplift pressure on the foundation of a dam on which it was constructed, and on the interface between the dam and foundation is a critical aspect in the analysis of concrete gravity dams. The evaluation of stress intensity factor at the crack tip of concrete gravity dam due to uplift pressure effect by surface integral method is performed in this study. The effects of body force, overtopping pressure and water pressure on the crack-face are also considered in this study.

  • PDF

Contour Integral Method for Crack Detection

  • Kim, Woo-Jae;Kim, No-Nyu;Yang, Seung-Yong
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.31 no.6
    • /
    • pp.665-670
    • /
    • 2011
  • In this paper, a new approach to detect surface cracks from a noisy thermal image in the infrared thermography is presented using an holomorphic characteristic of temperature field in a thin plate under steady-state thermal condition. The holomorphic function for 2-D heat flow field in the plate was derived from Cauchy Riemann conditions to define a contour integral that varies according to the existence and strength of a singularity in the domain of integration. The contour integral at each point of thermal image eliminated the temperature variation due to heat conduction and suppressed the noise, so that its image emphasized and highlighted the singularity such as crack. This feature of holomorphic function was also investigated numerically using a simple thermal field in the thin plate satisfying the Laplace equation. The simulation results showed that the integral image selected and detected the crack embedded artificially in the plate very well in a noisy environment.

Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method (비특이화 간접경계적분방정식방법을 이용한 2차원 수치수조 개발 및 적용)

  • Oh, Seunghoon;Cho, Seok-kyu;Jung, Dongho;Sung, Hong Gun
    • Journal of Ocean Engineering and Technology
    • /
    • v.32 no.6
    • /
    • pp.447-457
    • /
    • 2018
  • In this study, a two-dimensional fully nonlinear transient wave numerical tank was developed using a desingularized indirect boundary integral equation method. The desingularized indirect boundary integral equation method is simpler and faster than the conventional boundary element method because special treatment is not required to compute the boundary integral. Numerical simulations were carried out in the time domain using the fourth order Runge-Kutta method. A mixed Eulerian-Lagrangian approach was adapted to reconstruct the free surface at each time step. A numerical damping zone was used to minimize the reflective wave in the downstream region. The interpolating method of a Gaussian radial basis function-type artificial neural network was used to calculate the gradient of the free surface elevation without element connectivity. The desingularized indirect boundary integral equation using an isolated point source and radial basis function has no need for information about the element connectivity and is a meshless method that is numerically more flexible. In order to validate the accuracy of the numerical wave tank based on the desingularized indirect boundary integral equation method and meshless technique, several numerical simulations were carried out. First, a comparison with numerical results according to the type of desingularized source was carried out and confirmed that continuous line sources can be replaced by simply isolated sources. In addition, a propagation simulation of a $2^{nd}$-order Stokes wave was carried out and compared with an analytical solution. Finally, simulations of propagating waves in shallow water and propagating waves over a submerged bar were also carried and compared with published data.

LMI-based Design of Output Feedback Integral Sliding Mode Controllers (출력 궤환 적분 슬라이딩 모드 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.60 no.1
    • /
    • pp.138-141
    • /
    • 2011
  • This paper presents an LMI-based method to design an output feedback integral sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Finally, we give a numerical design example in order to show the effectiveness of the proposed method.

Development of a Three Dimensional Elastic Plastic Analysis System for the Integrity Evaluation of Nuclear Power Plant Components (원자력발전소 주요기기의 건전성 평가를 위한 3차원 탄소성 해석 시스템의 개발)

  • Huh, Nam-Su;Im, Chang-Ju;Kim, Young-Jin;Pyo, Chang-Ryul;Park, Chi-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.8 s.179
    • /
    • pp.2015-2021
    • /
    • 2000
  • In order to evaluate the integrity of nuclear power plant components, the analysis based on fracture mechanics is crucial. For this purpose, finite element method is popularly used to obtain J-integral. However, it is time consuming to design the finite element model of a cracked structure. Also, the J-integral should be verified by alternative methods since it may differ depending on the calculation method. The objective of this paper is to develop a three-dimensional elastic-plastic J-integral analysis system which is named as EPAS program. The EPAS program consists of an automatic mesh generator for a through-wall crack and a surface crack, a solver based on ABAQUS program, and a J-integral calculation program which provides DI (Domain Integral) and EDI (Equivalent Domain Integral) based J-integral calculation. Using the EPAS program, an optimized finite element model for a cracked structure can be generated and corresponding J-integral can be obtained subsequently.

Elastic-Plastic Fracture Mechanics Analyses For circumferential Part-through Surface Cracks At The Interface Between Elbows and Pipes (직관과 곡관의 경계 용접부에 존재하는 원주방향 표면균열에 대한 탄소성 파괴역학 해석)

  • Song, Tae-Kwang;Oh, Chang-Kyun;Kim, Yun-Jae;Kim, Jong-Sung;Jin, Tae-Eun
    • Proceedings of the KSME Conference
    • /
    • 2007.05a
    • /
    • pp.1766-1771
    • /
    • 2007
  • This paper presents plastic limit loads and approximate J-integral estimates for circumferential part-through surface crack at the interface between elbows and pipes. Based on finite element limit analyses using elastic-perfectly plastic materials, plastic limit moments under in-plane bending are obtained and it is found that they are similar those for circumferential part-through surface cracks in the center of elbow. Based on present FE results, closed-form limit load solutions are proposed. Welds are not explicitly considered and all materials are assumed to be homogeneous. And the method to estimate the elastic-plastic J-integral for circumferential part-through surface cracks at the interface between elbows and straight pipes is proposed based on the reference stress approach, which was compared with corresponding solutions for straight pipes.

  • PDF

Design of Multichannel Spherical Loudspeaker Array for the Spatial Sound Manipulation (소리의 공간 제어를 위한 구형 다채널 스피커 어레이 설계)

  • Kang, Dong-Soo;Choi, Jung-Woo;Lee, Jung-Min;Kim, Yang-Hann
    • The Journal of the Acoustical Society of Korea
    • /
    • v.31 no.4
    • /
    • pp.214-224
    • /
    • 2012
  • The objective of this paper is to design multichannel spherical loudspeaker array by considering various positioning methods such as Gaussian grid, Lebedev grid and packing method. For the spatial sound manipulation, which is to make desired sound field by controling multiple sound sources, the Kirchhoff- Helmholtz integral states that sound fields can be reproduced in terms of infinite control sources on the integral surface. But since we cannot control infinite number of sources for the implementation, we have to allocate finite number of sound sources which can approximately act as infinite number of sources. To manipulate sound field inside of a sphere (which is typical example of three dimensional array) by controlling sound sources on the surface, three methods of allocating sound sources, which are Gaussian grid, Lebedev grid and packing method, are reviewed. For each geometry, the performances of manipulation rendered by time-reversal operator and higher-order ambisonics are compared.