• Title/Summary/Keyword: Boundary elements

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Wave Scattering Analysis of Scatterers Submerged in Water by Using a Hybrid Numerical Approach (수중 산란체의 수치적 산란해석)

  • 김재환;김세환
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.4
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    • pp.84-92
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    • 2000
  • In this paper, numerical scattering analysis for submerged scatterers is performed using finite and infinite elements. Unbounded domain is truncated into finite domain and finite elements are used in the domain. Infinite elements, So called Infinite Wave Envelope Elements (IWEE) which possess wave-like behavior, are used to take into account the infinite domain on the truncated boundary Scattering from rigid sphere is taken as an example and the effects of the order and mesh size of finite elements, size of finite element model and the order of IWEE are investigated. Quadratic finite element, refined mesh and higher order IWEE are recommended to improve the non-reflection boundary condition in the numerical scattering analysis.

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THREE-DIMENSIONAL INFINITE ELEMENTS FOR WAVE FORCE EVALUATION OF OFFSHORE STRUCTURES (해양구조물의 파력산정을 위한 3-차원 무한요소)

  • 박우선;윤정방
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.135-144
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    • 1991
  • The finite element technique incorporatating infinite elements is applied to analyzing the general three dimensional wave-structure interaction problems within the limits of linear wave theory. The hydrodynamic forces are assumed to be inertially dominated, and viscous effects are neglected. In order to analyze the corresponding boundary value problems efficiently, two types of elements are developed. One is the infinite element for modeling the radiation condition at infinity, and the other is the fictitious bottom boundary element for the case of deep water. To validate those elements, numerical analyses are performed for several floating structures. Comparisons with the results by using other available solution methods show that the present method incorporating the infinite and the fictitious bottom boundary elements gives good results.

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Vertical Vibration Analysis of Single Pile-Soil Interaction System Considering the Interface Spring (접합면 스프링요소를 고려한 단말뚝-지반 상호작용계의 수직진동해석)

  • 김민규;김문겸;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.106-113
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    • 2002
  • In this study, a numerical analysis method for soil-pile interaction in frequency domain problem is presented. The total soil-pile interaction system is divided into two parts so called near field and far field. In the near field, beam elements are used for a pile and plain strain finite elements for soil. In the far field, dynamic fundamental solution for multi-layered half planes based on boundary element formulation is adopted for soil. These two fields are coupled using FE-BE coupling technique In order to verify the proposed soil-pile interaction analysis, the dynamic responses of pile on multi-layered half planes are simulated and the results are compared with the experimental results. Also, the dynamic response analyses of interface spring elements are performed. As a result, less spring stiffness makes the natural frequency decrease and the resonant amplitude increase.

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Two-dimensional Resistivity Modeling Using Boundary Elements Method (경계 요소법을 이용한 2차원 비저항 모델링)

  • 김형수
    • The Journal of Engineering Geology
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    • v.6 no.3
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    • pp.119-130
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    • 1996
  • The theory and numerical technique using boundary elements method (BEM) are given to solve 2-dimensional resistivity problems. Potential distributions from homogeneous resistivity model and layered model are calculated by using BEM for a point source of current injection. The potential distributions of BEM are compared with those of finite difference method (FDM) and finite elements method (FEM). Among the three numerical methods to solve 2-dimensional resistivity problem, it is proved that BEM is more efficient tool than FDM and FEM in consideration of computing storage and time as weU as the accuracy of solutions.

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Elastodynamic infinite elements based on modified Bessel shape functions, applicable in the finite element method

  • Kazakov, K.S.
    • Structural Engineering and Mechanics
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    • v.42 no.3
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    • pp.353-362
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    • 2012
  • In this paper decay and mapped elastodynamic infinite elements, based on modified Bessel shape functions and appropriate for Soil-Structure Interaction problems are described and discussed. These elements can be treated as a new form of the recently proposed Elastodynamic Infinite Elements with United Shape Functions (EIEUSF) infinite elements. The formulation of 2D horizontal type infinite elements (HIE) is demonstrated, but by similar techniques 2D vertical (VIE) and 2D corner (CIE) infinite elements can also be formulated. It is demonstrated that the application of the elastodynamical infinite elements is the easier and appropriate way to achieve an adequate simulation including basic aspects of Soil-Structure Interaction. Continuity along the artificial boundary (the line between finite and infinite elements) is discussed as well and the application of the proposed elastodynamical infinite elements in the Finite Element Method is explained in brief. Finally, a numerical example shows the computational efficiency of the proposed infinite elements.

CAE Solid Element Mesh Generation from 3D Laser Scanned Surface Point Coordinates

  • Jarng S.S.;Yang H.J.;Lee J.H.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.3
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    • pp.162-167
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    • 2005
  • A 3D solid element mesh generation algorithm was newly developed. 3D surface points of global rectangular coordinates were supplied by a 3D laser scanner. The algorithm is strait forward and simple but it generates hexahedral solid elements. Then, the surface rectangular elements were generated from the solid elements. The key of the algorithm is elimination of unnecessary elements and 3D boundary surface fitting using given 3D surface point data.

A Simple Model for the Nonlinear Analysis of an RC Shear Wall with Boundary Elements (경계요소를 가진 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델)

  • Kim, Tae-Wan;Jeong, Seong-Hoon;You, Tae-Sang
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.4
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    • pp.45-54
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    • 2011
  • A simple model for reinforced concrete shear walls with boundary elements is proposed, which is a macro-model composed of spring elements representing flexure and shear behaviors. The flexural behaviour is represented by vertical springs at the wall ends, where the moment strength and rotational capacity of the wall are based on section analysis. The shear behaviour is represented by a horizontal spring at the wall center, where the key parameters for the shear behavior are based on the flexural behaviour since the shear walls with boundary elements are governed by the flexure. The proposed model was prepared with the results of hysteretic tests of the shear walls, and then the reliability of the hysteretic rule and variables was investigated by nonlinear dynamic analyses. Using parametric study with nonlinear dynamic analyses, the effect of the variables on demand and capacity, which are major parameters in seismic performance evaluation, are investigated. Results show that the measured and calculated shear forces versus the shear distortion relationships are slightly different, but the global response is well simulated. Furthermore, the demand and capacity are also changed in a similar way to the change in the major parameters so that the proposed model may be appropriate for reinforced concrete shear walls with boundary elements.

Solution to Elasticity Problems of Structural Elements of Composite Materials (복합재료 구조 요소의 탄성문제에 대한 해)

  • Afsar, A.M.;Huq, N.M.L.;Mirza, F.A.;Song, J.I.
    • Composites Research
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    • v.23 no.3
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    • pp.19-30
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    • 2010
  • The present study describes a method for analytical solution to elastic field in structural elements of general symmetric laminated composite materials. The two dimensional plane stress elasticity problems under mixed boundary conditions are reduced to the solution of a single fourth order partial differential equation, expressed in terms of a single unknown function, called displacement potential function. In addition, all the components of stress and displacement are expressed in terms of the same displacement potential function, which makes the method suitable for any boundary conditions. The method is applied to obtain analytical solutions to two particular problems of structural elements consisting of an angle-ply laminate and a cross-ply laminate, respectively. Some numerical results are presented for both the problems with reference to the glass/epoxy composite. The results are highly accurate and reliable as all the boundary conditions including those in the critical regions of supports and loads are satisfied exactly. This verifies the method as a simple and reliable one as well as capable to obtain exact analytical solution to elastic field in structural elements of composite materials under mixed and any other boundary conditions.

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.

Earthquake resistance of structural walls confined by conventional tie hoops and steel fiber reinforced concrete

  • Eom, Taesung;Kang, Sumin;Kim, Okkyue
    • Earthquakes and Structures
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    • v.7 no.5
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    • pp.843-859
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    • 2014
  • In the present study, the seismic performance of structural walls with boundary elements confined by conventional tie hoops and steel fiber concrete (SFC) was investigated. Cyclic lateral loading tests on four wall specimens under constant axial load were performed. The primary test parameters considered were the spacing of boundary element transverse reinforcement and the use of steel fiber concrete. Test results showed that the wall specimen with boundary elements complying with ACI 318-11 21.9.6 failed at a high drift ratio of 4.5% due to concrete crushing and re-bar buckling. For the specimens where SFC was selectively used in the plastic hinge region, the spalling and crushing of concrete were substantially alleviated. However, sliding shear failure occurred at the interface of SFC and plain concrete at a moderate drift ratio of 3.0% as tensile plastic strains of longitudinal bars were accumulated during cyclic loading. The behaviors of wall specimens were examined through nonlinear section analysis adopting the stress-strain relationships of confined concrete and SFC.