• 제목/요약/키워드: Governing equation FEM

검색결과 59건 처리시간 0.023초

유한요소법과 전계-열전자 방출 모델에 의한 절연유체 내 공간전하 전파해석 (Analysis of Space Charge Propagation in a Dielectric liquid Employing Field-Thermal Electron Emission Model and Finite Element Method)

  • 이호영;이세희
    • 전기학회논문지
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    • 제58권10호
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    • pp.2011-2015
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    • 2009
  • In an insulating dielectric liquid such as transformer oil, space charge injection and propagation were analyzed under the Fowler-Nordheim and Richardson-Dushman's thermal emission charge injection conditions for blade-plane electrodes stressed by a step voltage. The governing equations were composed of all five equations such as the Poisson's equation for electric fields, three continuity equations for electrons, negative, and positive ions, and energy balanced equation for temperature distributions. The governing equations for each carrier, the continuity equations, belong to the hyperbolic-type PDE of which the solution has a step change at the space charge front resulting in numerical instabilities. To decrease these instabilities, the governing equations were solved simultaneously by the Finite Element Method (FEM) employing the artificial diffusion scheme as a stabilization technique. Additionally, the terminal current was calculated by using the generalized energy method which is based on the Poynting's theorem, and represents more reliable and stable approach for evaluating discharge current. To verify the proposed method, the discharge phenomena were successfully applied to the blade~plane electrodes, where the radius of blade cap was $50{\mu}m$.

배열와전류프로브를 이용한 증기발생기 세관의 결함 변화에 따른 유한요소해석 (Finite Element Method Analysis of Eddy Current Array Probe According to Defects Variation of Steam Generator)

  • 김지호;이향범
    • 한국정보통신설비학회:학술대회논문집
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    • 한국정보통신설비학회 2009년도 정보통신설비 학술대회
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    • pp.54-58
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    • 2009
  • In this paper, the ECT(eddy current testing) signal analysis of eddy current array probe for inspection of SG(steam generator) tube in NPP(nuclear power plant) using electromagnetic FEM(finite element method) was performed. To obtain the electromagnetic characteristics of probes, the governing equation was derived from Maxwell's equation, and the problem was solved by using the 3-dimensional FEM. The types of defects were FBH(flat bottomed hole) and OD groove, Spiral groove, natural defects(pitting, SCC, multiple SCC, wear). The depth of FBH defects were 20%, 40%, 60%, 80%, 100 of SG tube thickness, and it was assumed that the defects were located on the tube outside. And the operation frequency of 100kHz, 300kHz and 400kHz were used. Material of specimen was Inconel 600 which is usually used for SG tubes in NPP. The signal difference could be observed according to the variation of size and depth on FBH defects and operation frequencies. The results in this paper can be helpful when the ECT signals from EC array probe are evaluated and analyzed.

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여러가지 자기장 배치 기법에 따른 자성유체 속도 및 압력 분포에 관한 수치해석적 연구 (Numerical analysis of the magnetic fluid velocity and pressure distribution according to the various magnetic field)

  • 송준호;이육형;배형섭
    • 한국기계가공학회지
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    • 제7권2호
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    • pp.31-37
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    • 2008
  • In this paper, we analyzed the dynamic behavior of magnetic fluid in a circular pipe with multiple permanent magnets. Magnetic fluid react on magnetic field against the normal fluid. In other words, magnetic fluid flow has the electromagnetism and fluid mechanics. So magnetic fluids has studied about the fluids properties and experiment. In this paper we studied the magnetic fluids velocity and pressure distribution for the novel type actuator. Because the velocity and pressure distribution is the important element of the magnetic fluids flow. First, we analyzed the Maxwell equation for the multiple permanent magnet and then concluded the governing equations for the magnetic fluid flow using the equation of Navier-Stokes. And, we simulated the dynamic behavior of magnetic fluid flow using the FEM(Finite Element Method). And we illustrated the relation between magnetic field and dynamic behavior of magnetic fluid flow.

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유압식 햄머다짐의 수치해석적 연구 (A Numerical Analysis of Hydraulic Hammer Compaction)

  • 박인준;박양수;김수일
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 봄 학술발표회 논문집
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    • pp.183-190
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    • 2000
  • Effective range of Hydraulic Hammer Compaction was studied by numerical analysis instead of empirical method. Numerical analyses were carried out with commercial FEM code, ABAQUS, and verified by comparing the numerical results with field tests of Hydraulic Hammer Compaction. Most of material properties were evaluated by data from laboratory and in-situ tests. Vertical effective range was estimated by distribution curve of plastic strain energy dissipated through soil layers under dynamic load and these results were in good agreement with field tests. Based on verification, the effects of governing properties of Hydraulic Hammer Compaction such as number of hit can be determined by numerical analyses. In addition, vertical effective range can also be determined by Menard's empirical equation using the external work at converging time of plastic strain energy in numerical analysis. This implies that the minimum energy of Hydraulic Hammer Compaction for improvement can be determined by Menard's equation.

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양단 고정보의 크랙 검출에 대한 실험적 연구 (Experimental Study on Crack Detection of Clamped-clamped Beams)

  • 손인수;안성진;윤한익
    • 한국정밀공학회지
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    • 제27권6호
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    • pp.47-54
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    • 2010
  • In this paper, the purpose is to study a method for detection of crack in clamped-clamped beams using the vibration characteristics. The natural frequency of beam is obtained by FEM and experiment. The governing differential equations of a Timoshenko beam are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The differences between the actual and predicted crack positions and sizes are less than 9.8% and 28%, respectively.

불포화지반에 대한 열-수리-역학 거동의 수식화 (Formulation of Fully Coupled THM Behavior in Unsaturated Soil)

  • 신호성
    • 한국지반공학회논문집
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    • 제27권3호
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    • pp.75-83
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    • 2011
  • 일반적인 불포화지반의 거동뿐만 아니라, 열과 관련된 분야, 지반환경 분야 등 다양한 분야에서 불포화 다공질 재료의 열적-수리적-역학적으로 결합된 문제들이 대두되면서 이러한 문제들을 해석하기 위한 수치도구 개발의 필요성이 대두되고 있다. 본 논문에서는 거시적 접근법(macroscopic approach)에 근거하여 불포화지반에 대한 열-수리-역학거동의 수식화를 하였다. 흙, 물, 공기에 대한 질량보존의 법칙, 에너지 보존법칙, 그리고 하중평형 조건식으로부터 결합된(coupled) 4개의 지배방정식을 유도하였다. Galerkin 간략화와 시간적분으로부터 주 변수인 변위(u), 가스압($P_g$), 유체압($P_1$), 온도(T)를 Newton의 반복과정을 이용하여 구하는 유한요소 프로그램(FEM)을 작성하였다. 개발된 프로그램을 이용하여 다공질재료에서 2상 흐름 문제 중 일차원 배수실험(u-$P_g-P_1$), 온도 압밀(u-$P_1$-T), 그리고 지표면 온도변화에 의한 말뚝의 주변지반에 대한 영향(u-$P_1$-T)에 대하여 수치해석을 수행하고 논의하였다.

Buckling of symmetrically laminated quasi-isotropic thin rectangular plates

  • Altunsaray, Erkin;Bayer, Ismail
    • Steel and Composite Structures
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    • 제17권3호
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    • pp.305-320
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    • 2014
  • The lowest critical value of the compressive force acting in the plane of symmetrically laminated quasi-isotropic thin rectangular plates is investigated. The critical buckling loads of plates with different types of lamination and aspect ratios are parametrically calculated. Finite Differences Method (FDM) and Galerkin Method are used to solve the governing differential equation for Classical Laminated Plate Theory (CLPT). The results calculated are compared with those obtained by the software ANSYS employing Finite Elements Method (FEM). The results of Galerkin Method (GM) are closer to FEM results than those of FDM. In this study, the primary aim is to conduct a parametrical performance analysis of proper plates that is typically conducted at preliminary structural design stage of composite vessels. Non-dimensional values of critical buckling loads are also provided for practical use for designers.

원통컵 디프드로잉 공정의 귀발생 예측 (Prediction of Earings in the Deep Drawing Processes of a Cylindrical Cup)

  • 이승열;이승열;금영탁;정관수;박진무
    • 소성∙가공
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    • 제4권3호
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    • pp.222-232
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    • 1995
  • The planar anisotripic FEM analysis for predicting earing profiles and draw-in amounts in the deep-drawing process is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vector and normal contact pressure. The consistent full set of governing relations, which is comprising euilbrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameters. The linear triangular membrane elements are used for depicting the formed sheet. In the numerical simulations of deep drawing processes of a flat-top cylindrical cup for 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

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사각형 연료탱크 내 슬로싱 주파수 응답 해석 (Analysis of Sloshing Frequency Response in Rectangular Fuel-Storage Tank)

  • 조진래;이홍우;하세윤;박태학;이우용
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.95-104
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    • 2003
  • 본 논문은 사각형 연료 탱크 내 비점성, 비압축성, 비회전 유동에 대한 슬로싱 주파수 응답의 유한요소 해석을 다룬다. 지배방정식으로 포텐셜 이론을 기반으로 한 라플라스 방정식을 적용한다. 슬로싱 운동이 작다고 가정하여 선형화된 자유표면 조건을 적용하였고, 변수분리기법을 이용하여 이론해를 구하였다. 점성 감쇠에 따른- 에너지 소산의 영향을 구현하기 위해 가상치 점성 계수를 도입하였으며, 이고 인해 공진 주파수에서 응답의 발산을 방지할 수 있나. 슬로싱 응답의 최대 진폭을 예측하기 위해 9절점 요소를 사용한 유한요소법을 이용하여 해석하였다. 슬로싱 높이, 유체 내부 동수압 및 내부 유체력의 수치 결과는 이론해와 잘 일치하였다. 유한요소 시험 프로그램을 검증한 후, 유체높이에 따른 슬로싱 주파수 응답 특성을 분석하였다.

Eddy Current Signal Analysis for Transmit-Receive Pancake Coil on ECT Array Probe

  • Lee, Hyang-Beom
    • 비파괴검사학회지
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    • 제26권1호
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    • pp.25-29
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    • 2006
  • In this paper, the eddy current signals come from a pair oi transmit-receive (T/R) pancake coil on ECT array Probe are analyzed with the variations of the lift-of and of the distance between transmit and receive coils. To obtain the electromagnetic characteristics of the probes, the governing equation describing the eddy current problems is derived from Maxwell's equation and is solved using three-dimensional finite element method. Eddy current signals from T/R coils on ECT array probe have quite different characteristics compared with ones from impedance coil on rotating pancake coil probe. The results in this paper ran be helpful when the field eddy current signals from ECT array probe are evaluated.