• 제목/요약/키워드: discontinuous

검색결과 1,399건 처리시간 0.028초

AN ASYMPTOTIC FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE WITH DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1057-1069
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    • 2008
  • We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

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불연속 복합체의 재료역학적 접근을 통한 응력해석 (Stress Analysis of a Discontinuous Composite Using Mechanics of Materials Approach)

  • 김홍건;양성모;노홍길
    • 한국공작기계학회논문집
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    • 제12권4호
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    • pp.63-69
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    • 2003
  • In discontinuous composite mechanics, shear lag theory is one of the most popular model because of its simplicity and accuracy. However, it does not provide sufficiently accurate strengthening predictions in elastic regime then the fiber aspect ratio is small. This is due to its neglect of stress transfer across the fiber ends and the stress concentrations that exist in the matrix regions near the fiber ends. To overcome this shortcoming, a more simplified shear lag model introducing the stress concentration factor which is a function of several variables, such as the modulus ratio, the fiber volume fraction, the fiber aspect ratio, is proposed. It is found that the modulus ratio($E_f$/$E_m$) is the essential variable among them. Thus, the stress concentration factor is expressed as a function of modulus ratio in the derivation. It is found that the proposed model gives a good agreement with finite element results and has the capability to correctly predict the values of interfacial shear stresses and local stress variations in the small fiber aspect ratio regime.

Nanoscale microstructure and magnetic transport in AlN/Co/AlN/Co... discontinuous multilayers

  • Yang, C.J.;Zhang, M.;Zhang, Z.D.;Han, J.S.
    • 한국자기학회:학술대회 개요집
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    • 한국자기학회 2003년도 하계학술연구발표회 및 한.일 공동심포지엄
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    • pp.21-21
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    • 2003
  • Microstructure and magnetic transport phenomina in rf sputtered AlN/Co type ten-layered discontinuous films of nanoscaled [AlN (3 nm)/Co (t nm)]...$\sub$10/ with t$\sub$Co/=1.0∼2.0 nm have been investigated. The microstructure and tunneling magnetic resistance of the samples are strongly dependent on the thickness of Co layer. Negative tunneling magneto-resistance due to the spin-dependent transport has been observed along the current-in-plane configuration in the samples having the Co layers below 1.6 nm thick. When the thickness of Co layer was less than 1,2 nm, randomly oriented granular Co particles were completely isolated and embedded in amorphous AlN matrix, and the films showed the superparamagnetic behavior with a high MR value of Δ$\rho$/$\rho$$\sub$0/=1.8 %. As t$\sub$Co/ increases, a transition from the regime of co-existence of superparamagnetic and ferromagnetic behaviors to ferromagnetic behavior was observed. Tunneling barrier called "decay length for tunneling" for the films having the thickness of Co layer from 1.4 to 1.6 nm was measured to be ranged from 0.004 to 0.021 ${\AA}$$\^$-1/.

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균열망 해석법을 이용한 불연속 암반의 지하수 유동 및 용질이동 연구 : 불연속 암반의 등가 투수계수 추정 (A Study on the Groundwater Flow and Solute Transport in Discontinuous Rock Mass Using Fracture Network Analysis : An Estimation of Equivalent Permeability on Discontinuous Rock Mass)

  • 주광수
    • 한국암반공학회:학술대회논문집
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    • 한국암반공학회 2000년도 암반공학문제의 수치해석(Numerical Analysis in Rock Engineering Problems)
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    • pp.129-137
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    • 2000
  • 본 논문은 통계적 기법에 의한 균열망 해석 프로그램(NAPSAC)을 사용하여 암반의 수리특성을 평가하기 위해 시도되었다. 암반내 존재하는 절리의 방향성을 고려한 투수계수를 산정하기 위해 마북리 시험터널 주위의 시추자료와 막장 자료로부터 얻어진 균열에 대한 정보로부터 대상지역의 등가 투수계수를 추정하였다. 대상지역의 관찰자료(균열망에 대한 자료, 수리지질학적 자료)로부터 통계적 균열망 해석을 위한 입력자료를 결정하여 해석모델의 신뢰성을 확보하였다. 구현된 모델로부터 모델의 크기를증가함에 따라서 이방성 투수계수 및 투수계수의 변화를계산하였다. 해석결과대상지역의 투수성은 균열군의 방향성에 의해 강한 이방성을 보였다.

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균열망 해석법을 이용한 불연속 암반의 지하수 유동 및 용질이동 연구: 불연속 암반의 등가 투수계수 추정 (A Study on the Groundwater Flow and Solute Transport in Discontinuous Rock Mass Using Fracture Network Analysis: An Estimation of Equivalent Permeability on Discontinuous Rock Mass)

  • 주광수
    • 터널과지하공간
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    • 제10권3호
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    • pp.378-386
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    • 2000
  • 본 논문은 통계적 기법에 의한 균열망 해석 프로그램 (NAPSAC)을 사용하여 암반의 수리특성을 평가하기 위해 시도되었다. 암반내 존재하는 절리의 방향성을 고려한 투수계수를 산정하기 위해 마북리 시험터널 주위의 시추자료와 막장 자료로부터 얻어진 균열에 대한 정보로부터 대상지역의 등가 투수계수를 추정하였다. 대상지역의 관찰자료 (균열망에 대한 자료, 수리지질학적 자료 )로부터 통계적 균열망 해석을 위한 입력자료를 결정하여 해석모델의 신뢰성을 확보하였다. 구현된 모델로부터 모델의 크기를 증가함에 따라서 이방성 투수계수 및 투수계수의 변화를 계산하였다. 해석결과 대상지역의 투수성은 균열군의 방향성에 의해 강한 이방성을 보였다.

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불연속성 암반에서 2-아치 터널 굴착시 필러 기초부 응력 분포에 대한 연구 (A Study on the Stress Distribution of Pillar Basement during Two-arch Tunnel Excavation in Discontinuous Rock Mass)

  • 김홍문;이상덕
    • 터널과지하공간
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    • 제19권2호
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    • pp.123-131
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    • 2009
  • 불연속성 암반에 2-Arch 터널을 건설할 경우, 필러에 작용하는 응력분포 특성을 파악하기 위하여 대형 모형실험과 수치해석을 수행하였다. 분석결과, 불연속면이 존재하는 경우에는 필러에 작용하는 하중이 매우 불규칙적으로 발생하였으며, 불연속면 경사의 영향이 큰 것을 확인하였다. 수치해석 결과 필러부에는 굴착단계에 따라 위치별로 큰 응력 차이가 확인되었다. 주목할 점은 터널 굴착시 벽체뿐만 아니라 필러 기초부에도 큰 응력 차이가 발생하였다. 필러 설계시 이러한 응력편차 현상을 신중하게 고려할 필요가 있다.

Nanoscale Microstructure and Magnetic Transport in AIN/Co/AIN/Co… Discontinuous Multilayers

  • Yang, C.J.;Zhang, M.;Zhang, Z.D.;Han, J.S.
    • Journal of Magnetics
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    • 제8권2호
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    • pp.98-102
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    • 2003
  • Microstructure and magnetic transport phenomina in rf sputtered AIN/CO type ten- layered discontinuous films of nanoscaled [AIN(3 nm)/Co(t nm)]…$_10$ with t$_Co$=1.0∼2.0 nm have been investigated. The microstructure and tunneling magnetic resistance of the samples are strongly dependent on the thickness of Co layer, Negative tunneling magneto-resistance due to the spin-dependent transport has been observed along the current-in-plane configuration in the samples having the Co layers below 1.6 nm thick. When the thickness of Co layer was less than 1.2 nm, randomly oriented granular Co particles were completely isolated and embedded in amorphous AIN matrix, and the films showed the superparamagnetic behavior with a high MR value of ${\Delta}p/p_0$=1.8%. As t$_Co$ increases, a transition from the regime of co-existence of superparamagnetic and ferromagnetic behaviors to ferromagnetic behavior was observed. funneling barrier called “decay length far tunneling” fur the films haying the thickness of Co layer from 1.4 to 1.6 nm was measured to be ranged from 0.004 to 0.021 ${\AA}$$^{-1}$.

2단 역률보상회로를 구성하는 Interleaved 승압형 컨버터의 해석 및 설계 (Analysis and Design of Interleaved Boost Power Factor Corrector on Two Stage AC/DC PFC Converter)

  • 허태원;손영대;김동완;김춘삼;박한석;우정인
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제52권7호
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    • pp.343-351
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    • 2003
  • In this paper, interleaved boost converter is applied as a first-stage converter in switch mode power supply. The first-stage converter plays a role to improve power factor. Interleaved Boost Power Factor Corrector(IBPFC) can reduce input current ripple as a single voltage control loop only without inner current loop, because input current is divided each 50% by two switching devices. Each converter cell is also operated in discontinuous current mode and inductor current of each converter is discontinuous. Total input current which is composed by each converter cell is continuous current. Thus, IBPFC is able to improve input current ripple. IBPFC operating in discontinuous current mode can be classified as six modes from switching state and be carried out state space averaging small signal modeling. A control transfer function is obtained according to the modeling. Not only steady-state characteristics but also dynamic characteristics is considered. Single voltage control loop is also constructed by the control transfer function. From experimental result, improvement of power factor and input current ripple are verified.

DPWM 방식을 적용한 3상 계통 연계 인버터의 LCL-필터 설계 (Design of LCL-filter for Grid-Connected Three-Phase Inverters Using a Discontinuous PWM Method)

  • 이정록;서승규;이교범
    • 전기학회논문지
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    • 제65권3호
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    • pp.419-427
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    • 2016
  • This paper proposes a design method of LCL-filter for a grid-connected three-phase inverter using a discontinuous PWM (DPWM) method. When using a DPWM method, many harmonic voltages are generated in the inverter output compared to a continuous PWM (CPWM) method. Therefore, an optimized grid-connected filter design is required for a DPWM method. The proposed design method provides generalized formula to design accurate LCL-filter without trial and error procedures. An inverter side inductance is designed by analyzing the current ripple injected to the grid. The Optimized parameters of LCL-filter can be designed by analyzing the total harmonic distortion (THD) and the ripple attenuation factor of the output current. The proposed LCL filter design method is demonstrated by simulation and experimental results.

LHS기법을 이용한 불연속암반구조물의 확률유한요소해석기법개발 (Development of Stochastic Finite Element Model for Underground Structure with Discontinuous Rock Mass Using Latin Hypercube Sampling Technique)

  • 최규섭;정영수
    • 전산구조공학
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    • 제10권4호
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    • pp.143-154
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    • 1997
  • 본 연구에서는 지하암반구조물의 구조해석시 불연속암반체의 물성변이를 고려할 수 있는 확률론적 해석기법을 개발하였다. 수치해석적 접근은 몬테칼로모사기법의 단점을 보완한 LHS기법을 사용하였고, 불연속면의 영향은 단층, 벽개 등과 같이 불연속성이 뚜렷한 지역에서 적용성이 높은 절리유한요소모델을 사용하였다. 재료특성에 대한 확률변수는 불연속면의 수직강성과 전단강성을 다확률변수로 사용하였으며, 이들은 확률공간에서 정규분포를 갖는 경우에 대하여 고려하였다. 본 연구에서 개발된 수치해석프로그램은 검증예제를 통하여 타당성을 확인하였으며, 가상의 불연속면군이 존재하는 지하원형공동에 대한 해석을 통하여 프로그램의 적용성을 확인하였다.

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