• 제목/요약/키워드: vector finite element method

검색결과 234건 처리시간 0.027초

와전류탐상의 3차원 유한요소 정식화에 따른 특성 분석 (Characteristic Analysis of Eddy Current Testing According to the finite Element formulations)

  • 이향범
    • 비파괴검사학회지
    • /
    • 제25권5호
    • /
    • pp.384-390
    • /
    • 2005
  • 3차원 유한요소법을 이용하여 와전류탐상의 수치해석을 수행하기 위하여 도체영역에서 자기벡터포텐셜과 전기스칼라포텐셜을 변수로 사용한다. 3차원 모델링을 하기 때문에 미지수가 많이 늘어나기도 하지만, 사용되는 변수 때문에 미지수가 급속히 증가한다. 이 때문에 전기스칼라포텐셜을 제거한 변형자기벡터포텐셜을 사용하여 미지수를 줄이기도 한다 또한 자기벡터포텐셜의 유일성을 보장하기 위하여 정식화 과정에 인위적으로 게이지조건을 집어넣기도 한다. 본 논문에서는 이러한 정식화 과정들이 와전류탐상에 미치는 영향을 검토하고, 와전류탐상에 적절한 정식화방법을 제시하였다.

전달 강성계수법에 의한 격자형 구조물의 자유 진동 해석 (Free Vibration Analysis of Lattice Type Structure by Transfer Stiffness Coefficient Method)

  • 문덕홍;최명수;강화중
    • 소음진동
    • /
    • 제8권2호
    • /
    • pp.361-368
    • /
    • 1998
  • Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful tool for structural analysis. However, it is necessary to use a large amount of computer memory and computation time because the FEM resuires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For overcoming this problem, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient which is related to force and displacement vector at each node. In this paper, the authors formulate vibration analysis algorithm for a complex and large lattice type structure using the transfer of the nodal dynamic stiffness coefficient. And we confirmed the validity of TSCM through numerical computational and experimental results for a lattice type structure.

  • PDF

해석적 방법을 이용한 슬롯리스 양측식 코어드 타입 영구자석 발전기의 와전류 손실 해석 (Eddy Current Loss Analysis of Slotless Double-sided Cored Type Permanent Magnet Generator by using Analytical Method)

  • 장강현;정경훈;홍기용;김경환;최장영
    • 전기학회논문지
    • /
    • 제65권10호
    • /
    • pp.1639-1647
    • /
    • 2016
  • This paper deals with eddy current loss analysis of Slotless Double sided Cored type permanent magnet linear generator by using analytical method, space harmonic method. In order to calculate eddy current, this paper derives analytical solution by the Maxwell equation, magnetic vector potential, Faraday's law and a two-dimensional(2-D) cartesian coordinate system. First, we derived the armature reaction field distribution produced by armature wingding current. Second, by using derived armature reaction field solution, the analytical solution for eddy current density distribution are also obtained. Finally, the analytical solution for eddy current loss induced in permanent magnets(PMs) are derived by using equivalent, electrical resistance calculated from PMs volume and eddy current density distribution solution. The analytical result from space harmonic method are validated extensively by comparing with finite element method(FEM).

자기 평면 도파관 소자의 최적형상설 (Shape Optimization of Waveguide Tee Junction in H-plane)

  • 이홍배;한송엽;천창열
    • 대한전기학회논문지
    • /
    • 제43권6호
    • /
    • pp.1020-1026
    • /
    • 1994
  • This paper presents a technique to optimize the shape of waveguide components in H-plane. The technique utilizes the numerical optimization process which employs the vector finite element method. In the optimization process, the sensitivity of an objective function with respect to design variables is computed by introducting adjoint variables, which makes the computation easy. The steepest descent method is then employed to update design variables. As a numerical example, an H-plane waveguide teejunction was considered to obtain optimized shape. Comparison between the initial and optimized shape was made.

Voltage Source FEA for Hysteresis Motor using Preisach Model

  • Hong, Sun-Ki;Lee, Seok-Hee;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
    • /
    • 제11B권4호
    • /
    • pp.164-168
    • /
    • 2001
  • In this paper voltage source FEA for hysteresis motor considering magnetic hysteresis characteristics is presented. The Preisach model is used as a hysteresis model. System matrix whose unknown variables are vector potentials and currents is formulated for voltage source. The stiffness matrix is maintained constant by using M-iteration method. Therefore the calculation time and efforts are reduced with Choleski direct method. Current waveform can be calculated for arbitrary voltage vaveform considering hysteresis effects.

  • PDF

강상자거더의 뒤틀림해석에 관한 유한요소 정식화 (Finite Element Formulation for the Distortion Analysis of Steel Box Girders)

  • 최영준;정래영;황선호;강영종
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
    • /
    • pp.327-334
    • /
    • 1999
  • Steel box girders are popular to the Practicing engineers for the its large Pure torsional constant. But closed box girders at-e susceptible to the eccentric loading due to the distortion of the cross section. Distorton of the box girder develops the warping normal stress and transverse flexural stress in the cross section and their magnitudes can be large unless internal diaphragms are installed sufficiently. In this study, stiffness matrix and equivalent nodal force vector are formulated on the basis of displacement method. Shape functions are directly derived from the homogeneous solution of the governing differential equation of the distortion. New finite element formulations were coded into a computer program. Several numerical examples were presented to show the validity of developed program.

  • PDF

벡터유한요소법을 이용한 결합선로 구조를 갖는 도파관 구조의 우.기모드 임피던스 추출 (Extraction of Even and Odd Impedance for a Coupled-line Waveguide Structure using the Vector finite Element Method)

  • 김영태;박준석;안달;김헝석
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2000년도 하계학술대회 논문집 C
    • /
    • pp.2216-2218
    • /
    • 2000
  • This paper deals with finite element eigenvalue problem using electric field intensity to extract the even and odd impedance for a coupled-line waveguide structure. Calculations for the even-and-odd impedance of a coupled line waveguide structure are achieved based on the relative impedance concept for a waveguide with electric and magnetic wall containes.

  • PDF

Rotor Loss Analysis in Permanent Magnet High-Speed Machine Using Coupled FEM and Analytical Method

  • Jang Seok-Myeong;Cho Han-Wook;Lee Sung-Ho;Yang Hyun-Sup
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
    • /
    • 제5B권3호
    • /
    • pp.272-276
    • /
    • 2005
  • This paper deals with the method to calculate the rotor eddy current losses of permanent magnet high-speed machines considering the effects of time/space flux harmonics. The flux harmonics caused by the slot geometry in the stator is calculated from the time variation of the magnetic field distribution obtained by the magneto-static finite element analysis and double Fast Fourier Transform. And, using the analytical approach considering the multiple flux harmonics and the Poynting vector, the rotor losses is evaluated in each rotor composite. Using this method is simple and workable for any kind of stator slot shape for rotor loss analysis.

STABILIZED-PENALIZED COLLOCATED FINITE VOLUME SCHEME FOR INCOMPRESSIBLE BIOFLUID FLOWS

  • Kechkar, Nasserdine;Louaar, Mohammed
    • 대한수학회지
    • /
    • 제59권3호
    • /
    • pp.519-548
    • /
    • 2022
  • In this paper, a stabilized-penalized collocated finite volume (SPCFV) scheme is developed and studied for the stationary generalized Navier-Stokes equations with mixed Dirichlet-traction boundary conditions modelling an incompressible biological fluid flow. This method is based on the lowest order approximation (piecewise constants) for both velocity and pressure unknowns. The stabilization-penalization is performed by adding discrete pressure terms to the approximate formulation. These simultaneously involve discrete jump pressures through the interior volume-boundaries and discrete pressures of volumes on the domain boundary. Stability, existence and uniqueness of discrete solutions are established. Moreover, a convergence analysis of the nonlinear solver is also provided. Numerical results from model tests are performed to demonstrate the stability, optimal convergence in the usual L2 and discrete H1 norms as well as robustness of the proposed scheme with respect to the choice of the given traction vector.

민들린 평판의 아이소-지오메트릭 형상 설계민감도 해석 (Isogeometric Shape Design Sensitivity Analysis of Mindlin Plates)

  • 이승욱;조선호
    • 한국전산구조공학회논문집
    • /
    • 제26권4호
    • /
    • pp.255-262
    • /
    • 2013
  • 본 논문에서는 아이소-지오메트릭 기법을 기반으로 민들린 후판에 대한 형상 설계민감도 해석법을 제시하였다. 아이소-지오메트릭 기법은 정확한 기하학적 형상의 표현, 요소 사이의 높은 연속성 등 바람직한 강점들을 가지고 있으며 궁극적으로는 해석해로의 빠른 수렴성과 정확한 설계민감도를 제공한다. 선형 형상함수를 사용하는 유한요소법과는 달리 아이소-지오메트릭 기법에서는 높은 차수의 NURBS 기저함수를 활용하여 CAD 형상의 법선벡터와 곡률을 정확하게 고려한다. 전단 잠김(Shear locking) 현상을 극복하기 위해서 선택적 감소적분(Selective reduced integration) 기법을 사용하였다. 이 간단한 방법은 복잡한 정식화 과정 없이 정확한 아이소-지오메트릭 형상 설계민감도 해석을 수행한다. 굽힘 문제에 대한 수치예제를 통하여 제안된 아이소-지오메트릭 해석과 유한요소 해석을 비교하였으며, 유한차분 설계민감도와 비교하여 아이소-지오메트릭 형상 설계민감도는 매우 정확함을 확인하였다.