• 제목/요약/키워드: Finite Element-Boundary Element Method

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결합형 유한요소-경계요소 기법을 사용한 쏘나 트랜스듀서의 분석 (SONAR transducer analysis using a coupled FE-BE method)

  • 장순석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1750-1753
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    • 1997
  • This paper describes how the directivity pattern of the back-scattered sound pressure is distributed when a plane acoustic wave is incident on a righid spherical shell underwater. A coupled Finite Element-Boundary Element mehtod is developed as numerical technique. The result of the coupled FE-BE method is agreed with theoretical solution for algorithmic confirmation.

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혼합 유한요소법을 사용한 H-평면의 도파관 접합 해석 (Analysis of Waveguide Junction in H-Plane Using Finite Element-Boundary Element Method)

  • 정진교;천창열;정현교;한송엽
    • 대한전기학회논문지
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    • 제43권4호
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    • pp.666-672
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    • 1994
  • An H-Plane waveguide component with arbitrary shape is analyzed using finite element method(FEM) Cooperated with boundary element method(BEM). For the application of BEM in the waveguide structure, a ray representation of the waveguide Green's function is used. This technique is applied to the analysis of the waveguide inductive junction. The results are compared with the results of the mode matching technique. The comparison shows good agreement.

Hydraulic fracture simulation of concrete using the SBFEM-FVM model

  • Zhang, Peng;Du, Chengbin;Zhao, Wenhu;Zhang, Deheng
    • Structural Engineering and Mechanics
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    • 제80권5호
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    • pp.553-562
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    • 2021
  • In this paper, a hybrid scaled boundary finite element and finite volume method (SBFEM-FVM) is proposed for simulating hydraulic-fracture propagation in brittle concrete materials. As a semi-analytical method, the scaled boundary finite element method is introduced for modelling concrete crack propagation under both an external force and water pressure. The finite volume method is employed to model the water within the crack and consider the relationship between the water pressure and the crack opening distance. The cohesive crack model is used to analyse the non-linear fracture process zone. The numerical results are compared with experimental data, indicating that the F-CMOD curves and water pressure changes under different loading conditions are approximately the same. Different types of water pressure distributions are also studied with the proposed coupled model, and the results show that the internal water pressure distribution has an important influence on crack propagation.

유한요소법을 이용한 도파관 전자기 시뮬레이션에 있어 흡수경계조건 및 도파관 포트 경계조건 고찰 및 비교 (Comparison of Absorbing Boundary Conditions and Waveguide Port Boundary Condition for Waveguide Electromagnetic Analysis Using Finite Element Method)

  • 조민철;박우빈;이우찬
    • 인터넷정보학회논문지
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    • 제24권2호
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    • pp.27-36
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    • 2023
  • 도파관(waveguide)은 전자기파를 원하는 방향으로 안내하는 전송선로로 의료기기, 레이더 시스템, 위성 통신 등 다양한 분야에 활용되고 있다. 이러한 도파관의 설계 및 최적화를 위해서는 전자기 수치해석(CEM: Computational Electromagnetics)이 필수적이다. 수치해석 기법의 하나인 유한요소법(FEM: Finite Element Method)은 도파관과 같은 닫힌 영역 내부의 전자기 문제를 해결하는데 효율적이며 이를 적용하기 위해서는 계산영역을 한정시키기 위한 경계조건이 필요하다. 본 논문에서는 계산영역 밖으로 나가는 전자파의 반사를 최소화하기 위한 흡수경계조건(ABC: Absorbing Boundary Condition)과 주 모드 뿐만 아니라 고차 모드까지 흡수할 수 있는 도파관 포트 경계조건(WPBC: Waveguide Port Boundary Condition)을 각각 적용하여 2/D 및 3/D 도파관 구조에 대한 전자기 시뮬레이션을 수행하였다. 이후, 대표적인 전자파 상용 소프트웨어인 HFSS와의 결과 비교를 통해 해석의 정확성을 검증하였으며, 시뮬레이션 결과를 통해 WPBC를 적용하면 ABC보다 더 작은 해석 영역으로 구조 해석이 가능하다는 것을 확인하였다.

Shear locking-free analysis of thick plates using Mindlin's theory

  • Ozdemir, Y.I.;Bekiroglu, S.;Ayvaz, Y.
    • Structural Engineering and Mechanics
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    • 제27권3호
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    • pp.311-331
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    • 2007
  • The purpose of this paper is to study shear locking-free analysis of thick plates using Mindlin's theory and to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick plates subjected to uniformly distributed loads. Finite element formulation of the equations of the thick plate theory is derived by using higher order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 8- and 17-noded quadrilateral finite elements are used. Graphs and tables are presented that should help engineers in the design of thick plates. It is concluded that 17-noded finite element converges to exact results much faster than 8-noded finite element, and that it is better to use 17-noded finite element for shear-locking free analysis of plates. It is also concluded, in general, that the maximum displacement and bending moment increase with increasing aspect ratio, and that the results obtained in this study are better than the results given in the literature.

Ratcheting boundary of pressurized pipe under reversed bending

  • Chen, Xiaohui;Chen, Xu;Li, Zifeng
    • Steel and Composite Structures
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    • 제32권3호
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    • pp.313-323
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    • 2019
  • Ratcheting boundary is firstly determined by experiment, elastic-plastic finite element analysis combined with C-TDF and linear matching method, which is compared with ASME/KTA and RCC-MR. Moreover, based on elastic modulus adjustment procedure, a novel method is proposed to predict the ratcheting boundary for a pressurized pipe subjected to constant internal pressure and cyclic bending loading. Comparison of ratcheting boundary of elbow pipe determined by the proposed method, elastic-plastic finite element analysis combined with C-TDF and linear matching method, which indicates that the predicted results of the proposed method are in well agreement with those of linear matching method.

A coupled finite element/meshfreemoving boundary method for self-piercing riveting simulation

  • Cai, Wayne;Wang, Hui-Ping;Wu, C.T.
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.257-270
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    • 2013
  • The use of lightweight materials has been steadily increasing in the automotive industry, and presents new challenges to material joining. Among many joining processes, self-piercing riveting (SPR) is particularly promising for joining lightweight materials (such as aluminum alloys) and dissimilar materials (such as steel to Al, and metal to polymer). However, to establish a process window for optimal joint performance, it often requires a long trial-and-error testing of the SPR process. This is because current state of the art in numerical analysis still cannot effectively resolve the problems of severe material distortion and separation in the SPR simulation. This paper presents a coupled meshfree/finite element with a moving boundary algorithm to overcome these numerical difficulties. The simulation results are compared with physical measurements to demonstrate the effectiveness of the present method.

FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF BOUNDARY OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES FLOWS THROUGH A CHANNEL WITH STEPS

  • Lee, Hyung-Chun;Lee, Yong-Hun
    • 대한수학회지
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    • 제36권1호
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    • pp.173-192
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    • 1999
  • We study a boundary optimal control problem of the fluid flow governed by the Navier-Stokes equations. the control problem is formulated with the flow through a channel with steps. The first-order optimality condition of the optimal control is derived. Finite element approximations of the solutions of the optimality system are defined and optimal error estimates are derived. finally, we present some numerical results.

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A coupled Ritz-finite element method for free vibration of rectangular thin and thick plates with general boundary conditions

  • Eftekhari, Seyyed A.
    • Steel and Composite Structures
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    • 제28권6호
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    • pp.655-670
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    • 2018
  • A coupled method, that combines the Ritz method and the finite element (FE) method, is proposed to solve the vibration problem of rectangular thin and thick plates with general boundary conditions. The eigenvalue partial differential equation(s) of the plate is (are) first reduced to a set of eigenvalue ordinary differential equations by the application of the Ritz method. The resulting eigenvalue differential equations are then reduced to an eigenvalue algebraic equation system using the finite element method. The natural boundary conditions of the plate problem including the free edge and free corner boundary conditions are also implemented in a simple and accurate manner. Various boundary conditions including simply supported, clamped and free boundary conditions are considered. Comparisons with existing numerical and analytical solutions show that the proposed mixed method can produce highly accurate results for the problems considered using a small number of Ritz terms and finite elements. The proposed mixed Ritz-FE formulation is also compared with the mixed FE-Ritz formulation which has been recently proposed by the present author and his co-author. It is found that the proposed mixed Ritz-FE formulation is more efficient than the mixed FE-Ritz formulation for free vibration analysis of rectangular plates with Levy-type boundary conditions.

Effects of Drilling Degrees of Freedom in the Finite Element Modeling of P- and SV-wave Scattering Problems

  • Kim, Jae-Hwan
    • The Journal of the Acoustical Society of Korea
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    • 제18권1E호
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    • pp.37-43
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    • 1999
  • This paper deals with a hybrid finite element method for wave scattering problems in infinite domains. Scattering of waves involving complex geometries, in conjunction with infinite domains is modeled by introducing a mathematical boundary within which a finite element representation is employed. On the mathematical boundary, the finite element representation is matched with a known analytical solution in the infinite domain in terms of fields and their derivatives. The derivative continuity is implemented by using a slope constraint. Drilling degrees of freedom at each node of the finite element model are introduced to make the numerical model more sensitive to the transverse component of the elastodynamic field. To verify the effects of drilling degrees freedom and slope constraints individually, reflection of normally incident P and SV waves on a traction free half spaces is considered. For the P-wave incidence, the results indicate that the use of slope constraint is more effective because it suppresses artificial reflection at the mathematical boundary. For the SV-wave case, the use of drilling degrees freedom is more effective by reducing numerical error at irregular frequencies.

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