• 제목/요약/키워드: Vector Finite Element Method

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지지구조의 유연성을 고려한 고속 유연 폴리곤 미러 스캐너 모터의 유한 요소 불평형 응답 해석 (Finite Element Analysis of Unbalance Response of a High Speed Flexible Polygon Mirror Scanner Motor Considering the Flexibility of Supporting Structure)

  • 정경문;서찬희;김명규;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.859-865
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    • 2007
  • This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered bearing and flexible supporting structures by using the finite element method and the mode superposition method. The appropriate finite element equations for polygon mirror are described by rotating annular sector element using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. The rotating components except for the polygon mirror are modeled by Timoshenko beam element including the gyroscopic effect. The flexible supporting structures are modeled by using a 4-node tetrahedron element and 4-node shell element with rotational degrees of freedom. Finite element equations of each component of the polygon mirror scanner motor and the flexible supporting structures are consistently derived by satisfying the geometric compatibility in the internal boundary between each component. The rigid link constraints are also imposed at the interface area between sleeve and sintered bearing to describe the physical motion at this interface. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem by using the restarted Arnoldi iteration method. Unbalance responses in time and frequency domain are performed by superposing the eigenvalues and eigenvectors from the free vibration analysis. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results. This research also shows that the flexibility of supporting structures plays an important role in determining the unbalance response of the polygon mirror scanner motor.

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유한 요소법에 의한 2자유도 스텝모터의 설계 (Design of Prototype Rotary-Lineat Step Motor by the Finite Element Method)

  • 정태경;한송엽;원종수
    • 대한전기학회논문지
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    • 제35권12호
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    • pp.567-572
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    • 1986
  • In this paper, a new type of step motor with two degree of mechanical freedom, which is named rotary-Linear Step Motor(RLSM), is presented. Its rotor axis can perform linear and rotary motions either separately or simultaneously. This paper discribes the design of RLSM using finite element method in which the magnetic saturation effect of the iron core is taken into account. The design parameters such as torques, forces and inductances are obtained from the computed magnetic vector potentials. A new type of Rotary-Linear Step Motor was constructed. The calculated parameters agree well with measurements.

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Implementation of Q-Tensor Model into 3-D Finite Element Method (FEM) Numerical Solver

  • Shin, Woo-Jung;Yoon, Hyung-Jin;Won, Tae-Young
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2007년도 7th International Meeting on Information Display 제7권1호
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    • pp.509-512
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    • 2007
  • In this paper, we report our successful implementation of Q tensor model in threedimensional finite element method (FEM) simulator. The 3D-FEM Q tensor-model-based simulation revealed that the spaly-to-bend transition occurs only at 4 V while the vector-model based FEM solver provides an erroneous transition voltage of 8 V.

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MULTIGRID METHODS FOR 3D H(curl) PROBLEMS WITH NONOVERLAPPING DOMAIN DECOMPOSITION SMOOTHERS

  • Duk-Soon Oh
    • 대한수학회지
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    • 제61권4호
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    • pp.659-681
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    • 2024
  • We propose V-cycle multigrid methods for vector field problems arising from the lowest order hexahedral Nédélec finite element. Since the conventional scalar smoothing techniques do not work well for the problems, a new type of smoothing method is necessary. We introduce new smoothers based on substructuring with nonoverlapping domain decomposition methods. We provide the convergence analysis and numerical experiments that support our theory.

FEM을 이용한 유도 전동기의 벡터제어 특성 해석 연구 (The Analysis on Vector Control Characteristics of IM Using Finite Element Method)

  • 임달호;권병일;이중호;우경일;김창업
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 A
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    • pp.56-58
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    • 1995
  • Dynamic characteristics of the vector controlled induction motor has been analysed using d-q equivalent circuit. However, for the design of the induction motor, the analysis of an accurate response characteristic are needed. In this paper, dynamic characteristic analysis method using 2-D Finite Element Method (FEM), which takes the motion equation of the rotor into account and considers the physical motion of the rotor by an automatic subdivision of mesh, are explained.

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프라이자흐 모델과 유한요소법을 이용한 C.P.M의 착자 특성 해석 (Magnetizing Analysis of a Convergence Purity Magnet using Preisach model and Finite Element Method)

  • 윤태호;권병일;박승찬;우경일
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권11호
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    • pp.729-736
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    • 2000
  • This paper deals with the characteristic analysis of magnetizer for convergence purity magnet by the finite element method. The analysis utilizes combined method of the time-stepped finite element analysis and the Preisach model with hysteresis phenomena. In the finite element analysis, the non-linearity and the eddy current of the magnetizing fixure and permanent-magnet are taken account. The magnetization distribution in the permanent magnet is determined by using Preisach model which are composed of Everett function table and the first order transition curves is obtained by the Vibrating Sample Magnetometer. The calculated flux density values on the surface of the permanent magnet are led to the approximated gauss density values measured by the gauss meter. As a result, winding current, copper loss, eddy current loss of the magnetizing yoke, flux plot, surface gauss plot, temperature rise of the coil and resistor variation, vector diagram of magnetization distribution are shown.

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The Numerical Analysis of Jeju Harbor Flow Considering Effect of Seasonal Wind

  • Kim, Nam-Hyeong;Park, Ji-Hun;Kang, Hyun-Woo
    • 한국항해항만학회지
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    • 제31권9호
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    • pp.793-799
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    • 2007
  • The effect of seasonal wind on the tidal circulation in Jeju harbor was examined by using a numerical shallow water model. A finite element for analyzing shallow water flow is presented. The Galerkin method is employed for spatial discretization. Two step explicit finite element scheme is used to discretize the time function, which has advantage in problems treating large numbers of elements and unsteady state. The numerical simulation is compared with three cases; Case 1 does not consider the effect of wind, Case 2 and Case 3 consider the effect of summer and winter seasonal wind, respectively. According to result considering effect of seasonal wind, velocity of current vector shows slightly stronger than that of case 1 in the flow field. It can be concluded that the present method is a useful and effective tool in tidal current analysis.

원추형 코일스프링의 강성에 대한 연구 (A Study on the Stiffness of Frustum-shaped Coil Spring)

  • 김진훈;이수종;이경호
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2001년도 추계학술대회 논문집(Proceeding of the KOSME 2001 Autumn Annual Meeting)
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    • pp.21-27
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    • 2001
  • Springs are widely utilized in machine element. To find out stiffness of frustum-shaped coil spring, the space beam theory using the finite element method is adopted in this paper In three dimensional space, a space frame element is a straight bar of uniform cross section which is capable of resisting axial forces, bending moments about two principal axes in the plane of its cross section and twisting moment about its centroidal axis. The corresponding displacement degrees of freedom are twelve. To find out load vector of coil spring subjected to distributed compression, principle of virtual work is adapted The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displacements are added to coordinates of nodal points. The new stiffness matrix of the system using the new coordinates of nodal points is adopted to calculate the another increments of nodal displacements, that is, the step by step method is used in this paper. The results of the finite element method are fairly well agreed with those of various experiments. Using MATLAB program developed in this paper, spring constants and stresses can be predicted by input of few factors.

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전류 벡터 포텐셜을 이용한 와류분포의 유한요소 해석에 관한 연구 (A Study on the finite Element Analysis of Eddy Current Distributions using Current Vector Potential)

  • 임달호;김민수;신흥교
    • 대한전기학회논문지
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    • 제37권12호
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    • pp.839-846
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    • 1988
  • 전기기기의 와류분포를 해석하고자 항때 자기벡터포텐셜을 이용한 2차원적 해석법을 적용하면 해석영성내의 와류의 크기는 구할수 있지만 그 분포 양상은 알 수 없다. 이러한 문제점을 해결하기 위해 전류 벡터포텐셜을 도입하여 지배방정식을 유도하였으며 이에 유한요소법을 적용하여 2차원적 와류분포해석을 시도하였다. 그리도 시간술분항의 취급에는 시간영성가중계산법을 적용하였으며 이에 따른 알고리즘을 도출하였다. 또한 위에 방법을 해석해가 좌우하는 모델 및 와류에 의해 구동토오크가 발생하는 군상적산전력계 의 알루미늄 원판에 적용하여 해석한 결과 그 타당성 및 유용성을 입증할 수 있었다.

전류원 도체 내의 와전류 현상의 2차원 유한 요소 해석 (Finite Element Analysis of the Eddy Currents Inside the Source Conductors)

  • 김홍규;정현교;심동준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.22-24
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    • 1998
  • The current distribution in the source coil region is analyzed using the two dimensional finite element method. The variables in the FEM are the magnetic vector potentials and the source current density. The boundary condition for the source current density is that the total current is the sum of the eddy current and the source current and is known quantity from measurement. The simulation results are compared with the analytical solution. It is found that the method can analyze the current distribution in the source conductors very accurately.

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