• Title/Summary/Keyword: Vector finite element

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COMPUTATIONS OF A NATURAL CONVECTION FLOW USING HERMITE FINITE ELEMENTS (Hermite 유한요소에 의한 자연대류 유동계산)

  • Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.220-225
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    • 2007
  • This paper is a continuation of the recent development on the hermite-based divergence free basis function and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square cavity with temperature difference across the two sides. The basis functions for the velocities consist of the hermite function and its curl. However, the basis for the temperature are the hermite function and its gradienst. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x- and y-derivatives. Numerical results for the streamlines, the temperatures, the x-velocities and the y-velocities show good agreements with those of De vahl Davis[7].

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Dynamic Analysis of a Body Moving on a Flexible Structure (유연한 구조물 위를 주행하는 물체의 동역학적 해석)

  • 이기수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1674-1684
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    • 1994
  • An efficient iterative method is presented for the dynamic analysis of bodies moving on flexible structures. In contrast to traditional approaches, the nominal motion of the body is considered here as an unknown. The correct contact forces between the bodies and the flexible structures are computed by an iterative method reducing the specially defined error vectors to zero, and thus satisfying the constraints between the bodies and the structures. Even thought only simple equations of motions and simple time integrators are adopted, the correct solutions are economically obtained and the Timoshenko paradox is completely resolved. Numerical simulations are conducted demonstrate the accuracy and reliability of the solution and to compare the results with the reference.

Geometrically exact initially curved Kirchhoff's planar elasto-plastic beam

  • Imamovic, Ismar;Ibrahimbegovic, Adnan;Hajdo, Emina
    • Coupled systems mechanics
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    • v.8 no.6
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    • pp.537-553
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    • 2019
  • In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

Analytical and Experimental Study for Electromagnetic Performances of a Tubular Linear Machine with Axially Magnetized Single-sided Permanent Magnets

  • Shin, Kyung-Hun;Jeong, Kyoung-Hun;Choi, Jang-Young;Hong, Keyyong;Kim, Kyong-Hwan
    • Journal of Magnetics
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    • v.20 no.4
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    • pp.432-438
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    • 2015
  • This paper presents an electromagnetic analysis of a tubular linear machine with axially magnetized permanent magnets using improved analytical techniques. Based on the magnetic vector potential and a two-dimensional polar-coordinate system, the magnetic field and armature reaction field can be derived. Using these, equivalent circuit parameters, such as the electromotive force and inductance, can be obtained analytically. Finally, the generating characteristics are derived with the equivalent circuit method. In this study, the finite element method was employed to provide a comparative evaluation, and experiments were conducted to validate the results of the analytical analysis.

Prediction of the Brittle Damage Evolution in Extrusion/Forging Die (압출/단조 금형의 취성결함성장예측)

  • 여은구;이용신;나경환
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1998.03a
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    • pp.220-223
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    • 1998
  • The failure of die often occurs as a result of growth of microcracks - referred as a brittle damage. In this study, an analysis of brittle damage evolution cupled with elastic finite element analysis of die deformation is presented. A local transformation from the tractions of a workpiece mesh to those of a die mesh is developed. The brittle damage is defined as a vector considering the shape of common microcracks in the brittle metals and the damage function suggested by Krajcinovic is utillized. Applications of the proposed model to modeling damage evolution in the extrusion die and forging die are given and the characteristics of brittle damage evolution in die are in detail examined.

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The comparison of Magnetic Field Distribution in Tubular Type LOA with Slot/Slotless Stator (Slot/Slotless 고정자를 갖는 Tubular형 LOA의 자계특성 비교)

  • Jang, Seok-Myeong;Seo, Jung-Chul;Choi, Jang-Young;Lee, Sung-Ho;Jeong, Sang-Sub
    • Proceedings of the KIEE Conference
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    • 2004.04a
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    • pp.68-70
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    • 2004
  • This paper deals with comparison of magnetic field distribution in LOA with slotless/slot stator. We derived magnetic field solutions in terms of vector potential and cylinderical coordinates. In particular this paper accounts for slotting effect due to stator slot opening by introducing a 2-D relative permeance function. The results of predictions from the analysis are compared with corresponding finite element analysis.

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Analytical Approach for Rotor Loss Prediction of Permanent Magnet Synchronous Generator with Multi-Pole Rotor (다극 회전자를 갖는 영구자석 동기 발전기의 회전자 손실 예측을 위한 해석적 접근)

  • Jang, Seok-Myeong;Kim, Hyun-Kyu;Choi, Jang-Young;Ko, Kyoung-Jin;Sung, Tae-Hyun;Kim, Il-Jung
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.719-720
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    • 2008
  • This paper deals with analytical approach for rotor loss prediction of permanent magnet synchronous generator(PMSG). The rotor losses of synchronous generator are induced by the magnets. Since stator of our model is skewed, slotting effect can be negligible for our PM wind turbine generator. In order to calculate eddy current, this paper derives analytical solutions by the magnetic vector potential. Finally this paper compared analytical result with eddy current density obtained from finite element(FE) calculations using phase current harmonics analysis.

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Characteristic analysis of permanent magnet synchronous motor with full-ring magnet (Full-Ring 영구자석을 갖는 영구자석 동기 전동기의 특성 해석)

  • Jang, Seok-Myeong;Park, Ji-Hoon;Choi, Jang-Young;Kim, Il-Jung;Hwang, Joon-Hyun
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.727-728
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    • 2008
  • This paper deals with characteristic analysis of permanent magnet synchronous motor with full-ring magnet. The modeling of magnetic circuit is performed analytically. And then, analytical solution for open-circuit field distribution due to permanent magnet, back-EMF and torque are derived in terms of magnetic vector potential and two-dimensional polar coordinate system. The analytical results are validated extensively by finite element analyses. Finally, we performed experiments of permanent magnet synchronous motor with full-ring magnet.

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Electric field distribution analysis along shield gap inner vacuum interrupter (진공인터럽터 내부 shield gap에 따른 전계분포해석)

  • Yoon, Jae-Hun;Kim, Byung-Chul;Lee, Seung-Su;Lim, Kee-Jo;Kang, Seong-Hwa
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1368-1369
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    • 2008
  • This paper describes the electric field distribution analysis along a shield form inner vacuum interrupter(VI). The equipotential line and electric field and field vector in a VI are analysed by a finite element method at various shield form. in result, The equipotential line and electric field distribution was affected to VI shield gap. The reason is as it gets distortion of equipotential line done. finally, this paper recognized whether or not affected, and proposed gap with the most suitable shield length and an external insulation.

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Back-EMF Characteristic Comparison of Vertical and Halbach Permanent Magnet Linear Generator (수직 및 할박자화를 갖는 영구자석 선형발전기의 역기전력 특성비교)

  • Seo, Sung-Won;Koo, Min-Mo;Choi, Jang-Young;Kim, Kyong-Hwan
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.794-795
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    • 2015
  • This paper deals with back-EMF characteristic comparison of Vertical and Halbach array double-sided linear generator with coreless type. On the basis of a magnetic vector potential and Maxwell's equations, governing equations are obtained, and magnetic modeling is predicting characteristic analysis by using the Fourier series expansion. And then, we obtained magnetic field solutions and calculated resistance, back-EMF constant. The analytical results used by 2-D cylindrical coordinate system. The analytical method used in this paper is confirmed by comparing with finite element analysis results.

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