• Title/Summary/Keyword: Boundary Element Analysis

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Development of FE Analysis Scheme for Milli-Part Forming Using Grain Element (유한요소법의 입자요소를 이용한 박판 성형해석)

  • 구태완;강범수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.439-442
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    • 2003
  • This study presents a new computational model to analyze the grain deformation in a polycrystalline aggregate in a discrete manner and based directly in the underlying physical micro-mechanisms. As a result, specific characteristics have to be considered for the numerical analysis. The grains and grain boundary elements are introduced to model individual grains and grain boundary facets, respectively, to consider the size effects in the micro forming. The constitutive description of the grain elements accounts for the rigid-plastic and the grain boundary elements for elastic relationships. The capability of the proposed approach is demonstrated through application of grain element and grain boundary element in the micro forming.

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Boundary Element Analysis of Strain Energy Release Rate G(t) for Cracked Viscoelastic Solids (균열이 있는 선형 점탄성체의 변형에너지 방출률 G(t)에 대한 경계요소 해석)

  • 박명규;이상순;서창민
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.12
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    • pp.2072-2078
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    • 2003
  • In this paper, the boundary element analysis of viscoelastic strain energy release rate G(t) for the cracked linear viscoelastic solids has been attempted. This study proposes the G(t) equation and the calculating method of G(t) by time-domain boundary element analysis for the viscoelastic solids. The G(t) is defined as the derivative of the viscoelastic potential energy II(t) with respect to crack length a. Two example problems are presented to show the applicability of the proposed method to the analysis of the cracked linear viscoelastic solids. Numerical results of example problems show the accuracy and effectiveness of the proposed method.

Modelling Technique and Model Analysis of Submerged Structures Using Finite Element Method and Boundary Element Method (유한요소법과 경계요소법을 이용한 수중에서의 탄성구조물의 진동모드해석 및 모델링 기법)

  • 김관주;오상륜
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.319-324
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    • 2000
  • This paper shows hot to model the submerged elastic structures and adequate analysis tools for modal behavior when using finite element and boundary element method. Four different cases are reviewed depending on the location of the water and air. First case is that structures are filled with air and water is located outside. Second case is opposite to case one. These cases are solved by direct approach using collocation procedure. Third case is that water is located both sides of structures. Last case is that air is located both sides. These cases are solved by indirect approach using variational procedure. As analysis tools harmonic frequency sweep analysis and eigenvalue iteration method are selected to obtain the natural frequencies of vibrating submerged structures depending on the cases. Results are compared with closed form solutions of submerged spherical shell.

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Analysis of Vibration and Radiated Noise of Circular Cylindrical Shell in the Air Using Spectral Finite Element Method and Boundary Element Method (스펙트럴유한요소법과 경계요소법을 이용한 셸의 공기 중 진동 및 방사소음 해석)

  • Lee, Yung-Koo;Hong, Suk-Yoon;Song, Jee-Hun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.11
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    • pp.1192-1201
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    • 2009
  • Analysis of the vibration characteristic for cylindrical shell is more complex than plates since the coupling effects are considered on three dimensions. Based on Love's equation, spectral finite element method(SFEM) is introduced to predict frequency response function of finite circular cylindrical shell in the air with simply supported - free boundary condition without simplifying the equation of motion. And for the radiated noise analysis of cylindrical shell, indirect boundary element method(BEM) is applied using out-of-plane displacements as an input from structural vibration analysis. Comparisons of the structural vibration results by the spectral finite element method and commercial code, NASTRAN(FEM based) are carried out. Likewise, for verification of radiated noise analysis results, commercial code, SYSNOISE(BEM based) are used.

Influence of Modeling Errors in the Boundary Element Analysis of EEG Forward Problems upon the Solution Accuracy

  • Kim, Do-Won;Jung, Young-Jin;Im, Chang-Hwan
    • Journal of Biomedical Engineering Research
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    • v.30 no.1
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    • pp.10-17
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    • 2009
  • Accurate electroencephalography (EEG) forward calculation is of importance for the accurate estimation of neuronal electrical sources. Conventional studies concerning the EEG forward problems have investigated various factors influencing the forward solution accuracy, e.g. tissue conductivity values in head compartments, anisotropic conductivity distribution of a head model, tessellation patterns of boundary element models, the number of elements used for boundary/finite element method (BEM/FEM), and so on. In the present paper, we investigated the influence of modeling errors in the boundary element volume conductor models upon the accuracy of the EEG forward solutions. From our simulation results, we could confirm that accurate construction of boundary element models is one of the key factors in obtaining accurate EEG forward solutions from BEM. Among three boundaries (scalp, outer skull, and inner skull boundary), the solution errors originated from the modeling error in the scalp boundary were most significant. We found that the nonuniform error distribution on the scalp surface is closely related to the electrode configuration and the error distributions on the outer and inner skull boundaries have statistically meaningful similarity to the curvature distributions of the boundary surfaces. Our simulation results also demonstrated that the accumulation of small modeling errors could lead to considerable errors in the EEG source localization. It is expected that our finding can be a useful reference in generating boundary element head models.

Wave Force Analysis Acting on a Vertical Circular Cylinder by Boundary Element Method (경계요소법에 의한 수직원주에 작용하는 파력해석)

  • Kim, Nam-Hyeong;Park, Min-Su
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1910-1913
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    • 2006
  • To solve the interaction of incident monochromatic waves with a bottom-fixed vertical circular cylinder, a numerical analysis by boundary element method is developed using three-dimensional linear potential theory. A numerical analysis by boundary element method is based on Green's theorem and introduce to an integral equation for the fluid velocity potential around the vertical circular cylinder. These numerical results are compared with those of ManCamy and Fuchs(1954) and Williams and Mansour(2002), and it has shown good relationship with their results. This numerical analysis developed by boundary element method will be applied for various offshore structures to be constructed in coastal zones in the future.

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

  • Mincheol Jo;Woobin Park;Woochan Lee
    • Journal of Internet Computing and Services
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    • v.24 no.2
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    • pp.27-36
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    • 2023
  • Waveguides are transmission lines that guide electromagnetic waves in the desired direction and are utilized in various fields such as medical devices, radar systems, and satellite communications. Computational electromagnetics (CEM) is essential for designing and optimizing waveguides. The finite element method (FEM), which is one of the numerical analysis techniques, is efficient in solving closed problems such as waveguides. In order to apply FEM for waveguide analysis, boundary conditions that truncate the computational domain are required. This paper performs electromagnetic simulations using absorbing boundary conditions (ABC) and waveguide port boundary conditions (WPBC) in 2/D and 3/D waveguides using the finite element method and compared their performances. The accuracy of the analysis was verified by comparing the results with HFSS, a representative commercial electromagnetic simulation software. Simulation results confirm that applying WPBC allows for smaller analysis domains than ABC.

FE Analysis and Experiments of Milli-fart forming Using Grain and Grain Boundary Element (입자요소를 이용한 미세 성형 부품의 유한요소 해석 및 실험)

  • Ku, Tae-Wan;Kang, Beom-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.1
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    • pp.109-118
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    • 2003
  • The recent trend towards miniaturization causes an increased demand for parts with very small dimensions. Milli-structure components are classified as a component group whose size is between macro- and micro-scale. The manufacturing process of these components of thin sheet metal forming has a microscopic properties in addition to a typical phenomenon of bulk deformation because of the forming size. Also, the material properties and the deformation behavior change with miniaturization, which means that, a coarse grained materials show a higher resistance against deformation, when the grain size is in the range of the sheet thickness. In this study, a new numerical approach is proposed to simulate intergranular milli-structure in forming by the finite element method. The grain element and grain boundary element are introduced to simulate the milli-structure in the bending. The grain element is used to analyze the deformation of individual grain while the grain boundary element is for the investigation on the movement of the grain boundary. Also, the result of the finite element analysis is confirmed by a series of milli-sized forming experiments.

1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake

  • Zhao, Mi;Yin, Houquan;Du, Xiuli;Liu, Jingbo;Liang, Lingyu
    • Earthquakes and Structures
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    • v.9 no.1
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    • pp.173-194
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    • 2015
  • Site response analysis is an important topic in earthquake engineering. A time-domain numerical method called as one-dimensional (1D) finite element artificial boundary method is proposed to simulate the homogeneous plane elastic wave propagation in a layered half space subjected to the obliquely incident plane body wave. In this method, an exact artificial boundary condition combining the absorbing boundary condition with the inputting boundary condition is developed to model the wave absorption and input effects of the truncated half space under layer system. The spatially two-dimensional (2D) problem consisting of the layer system with the artificial boundary condition is transformed equivalently into a 1D one along the vertical direction according to Snell's law. The resulting 1D problem is solved by the finite element method with a new explicit time integration algorithm. The 1D finite element artificial boundary method is verified by analyzing two engineering sites in time domain and by comparing with the frequency-domain transfer matrix method with fast Fourier transform.

Dynamic analysis of Pine Flat dam-reservoir system utilizing Hagstrom-Warburton truncation boundary condition

  • Solmaz Dehghanmarvasty;Vahid Lotfi
    • Coupled systems mechanics
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    • v.12 no.4
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    • pp.365-389
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    • 2023
  • Dynamic analysis of a typical concrete gravity dam-reservoir system is formulated by FE-(FE-TE) approach (i.e., Finite Element-(Finite Element-Truncation Element)). In this technique, dam and reservoir are discretized by plane solid and fluid finite elements. Moreover, the H-W (i.e., Hagstrom-Warburton) high-order condition imposed at the reservoir truncation boundary. This task is formulated by employing a truncation element at that boundary. It is emphasized that reservoir far-field is excluded from the discretized model. The formulation is initially reviewed which was originally proposed in a previous study. Thereafter, the response of Pine Flat dam-reservoir system is studied due to horizontal and vertical ground motions for two types of reservoir bottom conditions of full reflective and absorptive. It should be emphasized that study is carried out under high order of H-W condition applied on the truncation boundary. The initial part of study is focused on the time harmonic analysis. In this part, it is possible to compare the transfer functions against corresponding responses obtained by FE-(FE-HE) approach (referred to as exact method). Subsequently, the transient analysis is carried out. In that part, it is only possible to compare the results for low and high normalized reservoir length cases. Therefore, the sensitivity of results is controlled due to normalized reservoir length values.