• 제목/요약/키워드: Finite Element/Boundary Element Coupled Approach

검색결과 29건 처리시간 0.022초

An effective finite element approach for soil-structure analysis in the time-domain

  • Lehmann, L.
    • Structural Engineering and Mechanics
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    • 제21권4호
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    • pp.437-450
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    • 2005
  • In this study, a complete analysis of soil-structure interaction problems is presented which includes a modelling of the near surrounding of the building (near-field) and a special description of the wave propagation process in larger distances (far-field). In order to reduce the computational effort which can be very high for time domain analysis of wave propagation problems, a special approach based on similarity transformation of the infinite domain on the near-field/far-field interface is applied for the wave radiation of the far-field. The near-field is discretised with standard Finite Elements, which also allows to introduce non-linear material behaviour. In this paper, a new approach to calculate the involved convolution integrals is presented. This approximation in time leads to a dramatically reduced computational effort for long simulation times, while the accuracy of the method is not affected. Finally, some benchmark examples are presented, which are compared to a coupled Finite Element/Boundary Element approach. The results are in excellent agreement with those of the coupled Finite Element/Boundary Element procedure, while the accuracy is not reduced. Furthermore, the presented approach is easy to incorporate in any Finite Element code, so the practical relevance is high.

NATM 터널의 응력-간극수압 연계 유한요소모델링 (Stress-Pore Pressure Coupled Finite Element Modeling of NATM Tunneling)

  • 유충식;김선빈
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
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    • pp.189-198
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    • 2006
  • This paper concerns the finite element (FE) modeling approach for NATM tunneling in water bearing ground within the framework of stress-pore pressure coupled analysis. Fundamental interaction mechanism of ground and groundwater lowering was first examined and a number of influencing factors on the results of coupled FE analysis were identified. A parametric study was then conducted on the influencing factors such as soil-water characteristics, location of hydraulic boundary conditions, the way of modeling drainage flow, among others. The results indicate that the soil-water characteristics plays the most important role in the tunneling-induced settlement characteristics. Based on the results, modeling guidelines were suggested for stress-pore prssure coupled finite element modeling of NATM tunneling.

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Multi-Domain Structural-Acoustic Coupling Analysis Using the Finite Element and Boundary Element Techniques

  • Ju, Hyeon-Don;Lee, Shi-Bok
    • Journal of Mechanical Science and Technology
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    • 제15권5호
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    • pp.555-561
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    • 2001
  • A new approach to analyze the multi-domain acoustic system divided and enclosed by flexible structures is presented in this paper. The boundary element formulation of the Helmholtz integral equation is used for the internal fields and the finite element formulation for the structures surrounding the fields. We developed a numerical analysis program for the structural-acoustic coupling problems of the multi-domain system, in which boundary conditions such as the continuity of normal particle velocity and sound pressure in the structural interfaces between Field 1 and Field 2 are not needed. The validity of the numerical analysis program is verified by comparing the numerical results with the experimental ones. Example problems are included to investigate the characteristics of the coupled multi-domain system.

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An ALE Finite Element Method for Baffled Fuel Container in Yawing Motion

  • Cho, Jin-Rae;Lee, Hong-Woo;Yoo, Wan-Suk;Kim, Min-Jeong
    • Journal of Mechanical Science and Technology
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    • 제18권3호
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    • pp.460-470
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    • 2004
  • A computational analysis of engineering problems with moving domain or/and boundary according to either Lagrangian or Eulerian approach may encounter inherent numerical difficulties, the extreme mesh distortion in the former and the material boundary indistinctness in the latter. In order to overcome such defects in classical numerical approaches, the ALE(arbitrary Lagrangian Eulerian) method is widely being adopted in which the finite element mesh moves with arbitrary velocity. This paper is concerned with the ALE finite element formulation, aiming at the dynamic response analysis of baffled fuel-storage container in yawing motion, for which the coupled time integration scheme, the remeshing and smoothing algorithm and the mesh velocity determination are addressed. Numerical simulation illustrating theoretical works is also presented.

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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    • 제12권4호
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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.

NATM 터널의 응력-간극수압 연계 유한요소모델링 (Stress-Pore Pressure Coupled Finite Element Modeling of NATM Tunneling)

  • 유충식;김선빈
    • 한국지반공학회논문집
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    • 제22권10호
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    • pp.5-20
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    • 2006
  • 본 논문에서는 지하수위 하에서 터널이 시공되는 조건을 대상으로 응력-간극수압 연계 유한요소해석 수행시 모델링 측면에서 중요하게 다뤄져야 하는 내용을 고찰하였다. 먼저 연계해석 수행시 요구되는 지하수위 저하와 지반거동과의 관계에 대한 배경 이론을 알아보았으며, 이를 토대로 모델링 측면에서 해석결과에 영향을 미칠 수 있는 다양한 인자들을 선정하고, 선정된 영향인자에 대한 매개변수 연구를 수행하였다. 지하수위 저하가 동반되는 터널 시공조건에서의 유한요소석 모델링 결과는 지반의 불포화특성 고려여부가 가장 큰 영향을 미치는 것으로 나타났으며 본 고에서는 결과를 종합하여 연계해석 모델링시 중요하게 검토되어야 고려사항을 제시하였다.

유한요소/경계요소 연성해석을 통한 수중 구조기인소음 해석 (Underwater Structure-Borne Noise Analysis Using Finite Element/Boundary Element Coupled Approach)

  • 이두호;김현실;김봉기;이성현
    • 대한기계학회논문집A
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    • 제36권7호
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    • pp.789-796
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    • 2012
  • 함정의 수중방사소음은 그 해석의 어려움이나 정확성에 있어서 매우 관심이 큰 문제이다. 본 논문에서는 구조물의 수중방사소음을 해석하기 위하여 유한요소/경계요소 연성해석법을 제안하였다. 제안된 방법은 헤름홀츠방정식에 대한 Burton-Miller 적분방정식에 기반하는 부가수 질량과 감쇠행렬을 이용하여 구조물의 구조-유체 연성응답을 해석하고 계산된 구조물의 응답으로부터 수중방사소음을 계산하는 순차적인 방법이다. 구조-유체연성작용의 구조해석은 상용소프트웨어인 MSC/NASTRAN 에 구조-유체연성효과 행렬을 추가하여 해석하는 방법으로 이루어졌고, 수중방사소음의 경우는 전용 소프트웨어를 개발하였다. 개발된 수중방사소음 해석법을 간단한 예제를 통하여 그 특성을 살피고, 실제 함정의 받침대 진동에 의한 수중방사소음의 계산에 적용하여 그 유용성을 보였다.

구조동역학-열탄성학 연성문제의 유한요소 정식화 및 분류 (The Finite Element Formulation and Its Classification of Dynamic Thermoelastic Problems of Solids)

  • Yun, Seong-Ho
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.37-49
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    • 2000
  • 본 논문은 구조물의 동역학 및 열탄성 연성문제 해석을 위한 통합된 유한요소법을 개발하는데 초점을 두고있다. 첫째로, 열전도 방정식에 열변위라는 물리량을 도입하여 동역학의 운동 방정식과 유사하도록 유도한 후, 변분법과 일반좌표계를 이용하여 시간영역에서 정식화하였다. 둘째로, 두 방정식에 라플라스 변환을 동시에 도입하고, 공간변수만을 갖는 형상함수와 가중잔여법을 적용하여 유한요소식을 변환영역에서 표현하였다. 연성된 방정식을 문제의 특성에 따라서 분류하였고 정식화 과정을 검증하였다. 또한 수치해석 알고리듬이 갖는 수치 역 변환의 정성적인 경향에 대하여 검토하였다.

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Use of infinite elements in simulating liquefaction phenomenon using coupled approach

  • Kumari, Sunita;Sawant, V.A.
    • Coupled systems mechanics
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    • 제2권4호
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    • pp.375-387
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    • 2013
  • Soils consist of an assemblage of particles with different sizes and shapes which form a skeleton whose voids are filled with water and air. Hence, soil behaviour must be analyzed by incorporating the effects of the transient flow of the pore-fluid through the voids, and therefore requires a two-phase continuum formulation for saturated porous media. The present paper presents briefly the Biot's basic theory of dynamics of saturated porous media with u-P formulation to determine the responses of pore fluid and soil skeleton during cyclic loading. Kelvin elements are attached to transmitting boundary. The Pastor-Zienkiewicz-Chan model has been used to describe the inelastic behavior of soils under isotropic cyclic loadings. Newmark-Beta method is employed to discretize the time domain. The response of fluid-saturated porous media which are subjected to time dependent loads has been simulated numerically to predict the liquefaction potential of a semi-infinite saturated sandy layer using finite-infinite elements. A settlement of 17.1 cm is observed at top surface. It is also noticed that liquefaction occurs at shallow depth. The mathematical advantage of the coupled finite element analysis is that the excess pore pressure and displacement can be evaluated simultaneously without using any empirical relationship.

외부 유체와 연성된 도파관의 진동 및 소음 해석 기법 (A Numerical Method for Analysis of the Sound and Vibration of Waveguides Coupled with External Fluid)

  • 유정수
    • 한국음향학회지
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    • 제29권7호
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    • pp.448-457
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    • 2010
  • 단면의 형상이 길이방향으로 일정한 무한길이 도파관 구조물 (waveguide structures)에 대한 진동 및 파동전파 특성은 도파관유한요소법 (waveguide finite element method, WFEM)을 이용해 효과적으로 해석할 수 있다. 도파관유한요소법은 2차원 단면만을 FE 모델링하여 해석하므로 모델의 크기가 작고 연산시간이 짧다는 장점이 있다. 도파관 구조물이 외부 유체와 연성된 경우, 원통형 실린더 또는 파이프와 같이 단면의 형상이 단순한 경우에는 이론적 해석을 수행할 수 있다. 반면 복잡한 형상의 단면을 가진 도파관구조물이 유체와 연성된 경우에는 수치해석 방법이 요구된다. 외부 유체와 연성된 도파관 구조물은 외부 유체와 도파관유한요소 (WFE)를 연성시켜 해석하는 수치해석 방법을 고려할 수 있다. 본 논문에서는 외부 유체 모델링에 경계요소 (Boundary Element)를 도입하고 이를 도파관유한요소와 연성시킨 WFE/BE 방법을 소개한다. 이 방법의 적용 예로써 단순형상의 파이프에 대해 외부 유체의 유/무에 따른 분산선도와 가진점 모빌리티 (point mobility)를 구하고 이를 이론해석 결과와 비교하였다. 또한 WFE/BE 방법을 이용해 파이프에서 외부 유체로 방사되는 음향파워를 구하고 접수 유/무에 따른 영향을 살펴보았다.