• Title/Summary/Keyword: Finite Element-Boundary Element Method

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Iterative coupling of precise integration FEM and TD-BEM for elastodynamic analysis

  • Lei, Weidong;Liu, Chun;Qin, Xiaofei;Chen, Rui
    • Structural Engineering and Mechanics
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    • v.67 no.4
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    • pp.317-326
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    • 2018
  • The iterative decomposition coupling formulation of the precise integration finite element method (FEM) and the time domain boundary element method (TD-BEM) is presented for elstodynamic problems. In the formulation, the FEM node and the BEM node are not required to be coincident on the common interface between FEM and BEM sub-domains, therefore, the FEM and BEM are independently discretized. The force and displacement converting matrices are used to transfer data between FEM and BEM nodes on the common interface between the FEM and BEM sub-domains, to renew the nodal variables in the process of the iterations for the un-coincident FEM node and BEM node. The iterative coupling formulation for elastodynamics in current paper is of high modeling accuracy, due to the semi-analytical solution incorporated in the precise integration finite element method. The decomposition coupling formulation for elastodynamics is verified by examples of a cantilever bar under a Heaviside-type force and a harmonic load.

Electrical Field Analysis of Impregnation Insulation Paper according to the BEM and FEM methods (경계요소법과 유한요소법에 의한 함침 절연지의 전계해석)

  • Park, Hyoung-Jun;Kim, Gyun-Sig;Shin, Jong-Yeol;Park, Hee-Doo;Lee, Chung-Ho;Lee, Su-Won;Hong, Jin-Woong
    • Proceedings of the KIEE Conference
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    • 2004.07c
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    • pp.1664-1666
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    • 2004
  • This paper describes the use of Armaid papers and varnishes in electric motors. We compare with boundary element method(BEM) and finite element method(FEM) by calculated electric field strength. Several computer software package to perform such calculations based on electrostatic field and applicable DC are available.

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Defect Shape Recovering by Parameter Estimation Arising in Eddy Current Testing

  • Kojima, Fumio
    • Journal of the Korean Society for Nondestructive Testing
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    • v.23 no.6
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    • pp.622-634
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    • 2003
  • This paper is concerned with a computational method for recovering a crack shape of steam generator tubes of nuclear plants. Problems on the shape identification are discussed arising in the characterization of a structural defect in a conductor using data of eddy current inspection. A surface defect on the generator tube ran be detected as a probe impedance trajectory by scanning a pancake type coil. First, a mathematical model of the inspection process is derived from the Maxwell's equation. Second, the input and output relation is given by the approximate model by virtue of the hybrid use of the finite element and boundary element method. In that model, the crack shape is characterized by the unknown coefficients of the B-spline function which approximates the crack shape geometry. Finally, a parameter estimation technique is proposed for recovering the crack shape using data from the probe coil. The computational experiments were successfully tested with the laboratory data.

Numerical Analysis of Waveguide T-Junction (T-접합 도파관의 수치적 해석)

  • Cheon, Changyul;Chung, Jin-Kyo
    • Journal of Industrial Technology
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    • v.13
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    • pp.25-31
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    • 1993
  • This paper presents an analysis of microwave device component. An H-Plane waveguide component with arbitrary shape is analyzed using finite element method(FEM) cooperated with boundary element method(BEM). The finite element method(FEM) is applied to the junction region and the boundary element method(BEM) to the waveguide region. For the application of BEM in the waveguide structure, a ray representation of the waveguide Green's function is used. The proposed technique was applied to the analysis of the waveguide inductive junction to compare the numerical result with the result of the mode matching technique. The comparison showed good agreements between the two results. Transmitted powers were also computed in T-junction waveguides for the various shape of the junction area.

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An Analysis of Acoustic Characteristics from the Acoustic Trancdurcer with Finite Element Method and Boundary Element Method (유한요소법과 경계요소법을 이용한 음향트랜스듀서의 음향특성 해석)

  • Noh, Hyun-Taek;Go, Young-Jun;Nam, Hyo-Duk;Seo, Hee-Don;Chang, Ho-Gyeong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.05b
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    • pp.287-290
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    • 2000
  • 본 연구에서는 압전세라믹스와 금속판으로 구성된 음향트랜스듀서를 모델로 설정하고, 원형평판으로부터 방사되는 내부음장과 트랜스듀서의 외부로 방사되는 음향특성을 수치 해석하였다. 음향트랜스듀서의 내부 유니트를 요소 분할하며 경계조건을 적용시키고, 유한요소법을 이용하여 내부의 음장 분포와 음압 변화량을 가시화하였다. 그리고 트랜스듀서 외부로 방사되는 음압은 가상경계면 외부를 요소분할한 후 다양한 주파수에서 음압 기울기와 등압선을 수치해석하였다.

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Effect of element size in hybrid stress analysis around a hole in loaded orthotropic composites (직교이방성 재료의 구멍주위에 관한 하이브리드 응력해석시 요소크기의 효과)

  • Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1702-1711
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    • 1997
  • A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.

A Study on the Electromagnetic Properties due to Circuit Patters in the Printed Circuit Hoard using Computer Simulation (컴퓨터 시뮬레이션을 이용한 PCB기판에서의 회로패턴에 따른 전자기적 특성에 관한 연구)

  • 이찬오;이성일;김용주;박광현;이준웅
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1996.11a
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    • pp.265-269
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    • 1996
  • In this paper, electric field interference was analyzed in the Printed Circuit Board to restrain the elcctromagnetic wave using Boundary Element Method and Finite Element Method. First, charge density distribution was simulated using Boundary Element Method and the characteristic impedance was caculated to restrain the reflex wave, and mutual capacitance was caculated in the multi-strip line PCB. Finally, electric field was simulated in the variable patterns using Finite Element Method. As a result, the optimal structure and characteristics of strip line was obtained and the imformations about the optimal design pattern could be obtained with the analysing the feild distribution.

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Design of Low Frequency Flat Speaker by Piezofilm (Piezofilm 을 이용한 저주파 평면 스피커의 설계)

  • Hwang, Joon-Seok;Lee, Sung;Kim, Seung-Jo
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.191-194
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    • 2000
  • In this study, experimental verification of performance of flat speaker has been conducted. The piezofilm (PVDF) actuator has been designed to prevent the distortion of sound and make the frequency response of radiated sound flat. The electrode pattern of piezofilm actuator is optimized to satisfy the design objective. The formulation of design method is based on the coupled finite element and boundary element method and electrode pattern is optimized by genetic algorithm. The flat speaker with optimized piezofilm actuator has been manufactured. The sound pressure level at the distance of 50cm is measured using microphone and compared with the result of numerical simulation.

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Magnetic Field Computations of the Magnetic Circuits with Permanent Magnets by Infinite Element Method (무한요소법을 이용한 영구자석 자기회로의 자장해석)

  • 한송엽;정현규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.10
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    • pp.379-383
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    • 1985
  • A method employing infinite elements is described for the magnetic field computations of the magnetic circuits with permanent magnet. The system stiffness matrix is derived by a variational approach, while the interfacial boundary conditions between the finite element regions and the infinite element regions are dealt with using collocation method. The proposed method is applied to a simple linear problems, and the numerical results are compared with those of the standard finite element method and the analytic solutions. It is observed that the proposed method gives more accurate results than those of the standard finite element method under the same computing efforts.

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Shape Design Sensitivity Analysis of Two-Dimensional Thermal Conducting Solids with Multiple Domains Using the Boundary Element Method (경계요소법을 이용한 2 차원 복수 영역 열전도 고체의 형상 설계 민감도 해석)

  • 이부윤;임문혁
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.8
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    • pp.175-184
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    • 2003
  • A method of the shape design sensitivity analysis based on the boundary integral equation formulation is presented for two-dimensional inhomogeneous thermal conducting solids with multiple domains. Shape variation of the external and interface boundary is considered. A sensitivity formula of a general performance functional is derived by taking the material derivative to the boundary integral identity and by introducing an adjoint system. In numerical analysis, state variables of the primal and adjoint systems are solved by the boundary element method using quadratic elements. Two numerical examples of a compound cylinder and a thermal diffuser are taken to show implementation of the shape design sensitivity analysis. Accuracy of the present method is verified by comparing analyzed sensitivities with those by the finite difference. As application to the shape optimization, an optimal shape of the thermal diffuser is found by incorporating the sensitivity analysis algorithm in an optimization program.