• Title, Summary, Keyword: Infinite Element

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Development of an Infinite Element for Impact Problem using ABAQUS UEL (ABAQUS UEL을 이용한 충돌 문제의 무한체요소 개발)

  • Yang, Seung-Yong;Goo, Byeong-Choon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.2
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    • pp.58-64
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    • 2005
  • An infinite element for impact problem has been developed using ABAQUS/Standard UEL. 4-node plane strain element was considered, and the constitutive equation was derived from properties of propagation plane body waves. The element acts as unbounded domain to the plane waves generated by impact. The numerical method was tested for the simulation of plate impact. The results show the effectiveness of the infinite element.

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.

Infinite element for the scaled boundary analysis of initial valued non-homogeneous elastic half space (초기치를 갖는 비동질무한영역의 해석을 위한 비례경계무한요소법)

  • Lee, Gye-Hee;Deeks, Andrew J.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.259-264
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    • 2007
  • In this paper, to analyze the initial valued non-homogeneous elastic half space by the scaled boundary analysis, the infinite element approach was introduced. The free surface of the initial valued non-homogeneous elastic half space was mode1ed as a circumferential direction of boundary scaled boundary coordinate. The infinite element was used to represent the infinite length of the free surface. The initial value of material property(elastic modulus) was considered by the combination of the position of the sealing center and the power function of the radial direction. By use of the mapping type infinite element, the consistent e1ements formulation could be available. The performance and the feasibility of proposed approach are examined by two numerical examples.

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An Infinite Element for Simulating Wave Propagation in Two-Phase Medium (2상 매질에서 파동전달 모사를 위한 무한요소)

  • Kim, Jae-Min
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • pp.34-41
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    • 2005
  • This paper presents a new infinite element for modeling far-field of wave propagation problem in a fluid-saturated two-phase medium. The infinite element can simulate arbitrary number of multiple wave components, while wave components in infinite element developed by other researchers was limited to two compressional waves. The accuracy and effectiveness of the proposed method have demonstrated using 1-D and 2-D wave propagation problems.

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Two-Dimensional Infinite Element for Dynamic Analysis of Saturated Two-Phase Soil (포화된 2상 지반의 동적해석을 위한 2차원 무한요소)

  • Kim, Jae-Min
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.4
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    • pp.67-74
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    • 2005
  • This paper presents a new infinite element for modeling far-field region in dynamic analysis of a fluid-saturated two-phase medium. The infinite element method combined to the infinite element method has been effectively applied to several engineering problems where the full space or half-space medium should be modeled. However, the currently available infinite element for dynamic analysis of two-phase porous medium has a limitation that Pl and P2 waves can only be Included in shape function expressing behavior ol the body. In this paper, the infinite element method is extended to simulate arbitrary number of multi-component waves. For this purpose, the far-field of the porous medium is assumed to be a layered half-space, while the near-field Includes structures as well as irregular soil medium. The accuracy and effectiveness of the proposed element have demonstrated using 1-D and 2-D wave propagation problems.

Reduction of train-induced vibrations on adjacent buildings

  • Hung, Hsiao-Hui;Kuo, Jenny;Yang, Yeong-Bin
    • Structural Engineering and Mechanics
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    • v.11 no.5
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    • pp.503-518
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    • 2001
  • In this paper, the procedure for deriving an infinite element that is compatible with the quadrilateral Q8 element is first summarized. Enhanced by a self mesh-expansion procedure for generating the impedance matrices of different frequencies for the region extending to infinity, the infinite element is used to simulate the far field of the soil-structure system. The structure considered here is of the box type and the soils are either homogeneous or resting on a bedrock. Using the finite/infinite element approach, a parametric study is conducted to investigate the effect of open and in-filled trenches in reducing the structural vibration caused by a train passing nearby, which is simulated as a harmonic line load. The key parameters that dominate the performance of wave barriers in reducing the structural vibrations are identified. The results presented herein serve as a useful guideline for the design of open and in-filled trenches concerning wave reduction.

Development of an Infinite Element for Non-linear Dynamic Analysis of Structures (구조물의 비선형 동적 해석을 위한 무한요소의 개발)

  • Kwon, Min-Ho;Han, Gil-Woong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.3
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    • pp.1053-1058
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    • 2010
  • Infinite element approach has been widely used to analysis soil-structure interaction, in which the soil domain is treated as infinite domain. However, most of the developed infinite element has been formulated in the frequency domain rather than the time domain to include the frequency contents of the earthquake or vibration wave. Due to that, those approaches have a critical limitation which is restricted to the linear elastic analysis. To main objective of this research is to develop the infinite element in the time domain to cooperate the inelastic soil and structure behavior. Developed infinite element is verified with the results of finite element analysis modeled in large domain. The nonlinear analysis also conducted to demonstrate the application of developed infinite element. Hence, based on above-mentioned statements, it can be concluded that the propose approach would assist for structure-seismic design.

p-Version Static Infinite Element for Representing Various Displacement Decay Characteristics (다양한 변위감쇠특성을 고려할 수 있는 p-버전 정적 무한요소)

  • 고광훈;이승래
    • Geotechnical Engineering
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    • v.13 no.1
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    • pp.101-110
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    • 1997
  • This paper presents a two dimensional p-version static infinite element for analyzing $1/r^n$ displacement decay type problems in unbounded media. The proposed element is developed by using shape functions based on approximate expressions of an analytical solution. Numerical results are presented for an opening in a homogeneous elastic infinite medium and a rigid footing rested on a homogeneous elastic half-space. The numerical results show the effectiveness of the proposed infinite element.

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Infinite Element for the Scaled Boundary Analysis of Initial Valued on-Homogeneous Elastic Half Space (초기값을 갖는 비동질무한영역의 해석을 위한 비례경계무한요소법)

  • Lee, Gye-Hee;Deeks, Andrew J.
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.2
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    • pp.199-208
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    • 2008
  • In this paper, to analyze the initial valued non-homogeneous elastic half space by the scaled boundary analysis, the infinite element approach was introduced. The free surface of the initial valued non-homogeneous elastic half space was modeled as a circumferential direction of boundary scaled boundary coordinate. The infinite element was used to represent the infinite length of the free surface. The initial value of material property(elastic modulus) was considered by the combination of the position of the scaling center and the power function of the radial direction. By use of the mapping type infinite element, the consistent elements formulation could be available. The performance and the feasibility of proposed approach are examined by two numerical examples.

A Comparative Study on Coupling of Element-free Galerkin Method and Infinite Element by IE's Shape Function (무한요소 형상함수에 따른 무요소법과의 조합 방법 비교 연구)

  • 이상호;김명원;윤영철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.279-287
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    • 2003
  • This paper deals with a comparative study on coupling of Element-free Galerkin(EFG) method and Infinite Element(IE) by IE's shape function. In this study, mapped infinite elements(mapped IE) and decay function infinite elements(decay IE) are coupled with the EFG method. A coupling procedure of EFG-Mapped IE is much easier to be integrated than a coupled EFG-Decay IE. A coupled EFG-IE method used well-defined functions to preserve the continuity and linear consistency on the interface of the EFG region and IE region. Several benchmark problems are solved to verify the effectiveness and accuracy of the coupling algorithms by IE's shape function. The numerical results show that the developed algorithms work well for the elastic problems with infinite boundaries.

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