• 제목/요약/키워드: Frequency-domain boundary element method

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

  • 김민규;김문겸;이종세
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 추계 학술발표회 논문집
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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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강성기초의 3차원 동적 경계요소해석 (Dynamic Analysis of 3-D Rigid Foundations by Boundary Elements)

  • 이찬우;김문겸;황학주
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.53-65
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    • 1993
  • 본 연구에서는 강성기초의 동적응답을 얻기 위해서 비완화 경계조건(non-relaxed boundary condition)을 적용한 3차원 경계요소를 사용하였다. 경계요소는 장래의 비선형문제의 확장을 위해서 시간영역에서 형식화되었으며 기본해는 무한영역의 Stokes 해를 사용하였다. 본 연구는 검증되었으며 지반기초 및 임의 형상의 지하구조물외 동적응답을 얻는데 이용할 수 있다.

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3차원 다영역 공간의 소음해석을 위한 파워흐름경계요소법 개발 (Development of Power Flow Boundary Element Method for 3-dimensional Multi-domain Noise Analysis)

  • 김종도;홍석윤;송지훈
    • 한국소음진동공학회논문집
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    • 제21권10호
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    • pp.967-974
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    • 2011
  • The direct and indirect PFBEM(power flow boundary element method) for the treatment of the 3 dimensional multi-domain problems are proposed to predict the acoustic energy density in medium to high frequency ranges. In the proposed method, the equation is derived in a matrix form by considering coupled relationships of the power flow at the interface of given domains. The proposed method can successfully obtain the analytical solutions for the problems of coupled cubes and the small-scale reverberant chamber. Then the experiment is carried out to obtain STL(sound transmission loss) by using small-scale reverberant chamber and the results are compared with analysis results.

Seismic analysis of dam-foundation-reservoir coupled system using direct coupling method

  • Mandal, Angshuman;Maity, Damodar
    • Coupled systems mechanics
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    • 제8권5호
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    • pp.393-414
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    • 2019
  • This paper presents seismic analysis of concrete gravity dams considering soil-structure-fluid interaction. Displacement based plane strain finite element formulation is considered for the dam and foundation domain whereas pressure based finite element formulation is considered for the reservoir domain. A direct coupling method has been adopted to obtain the interaction effects among the dam, foundation and reservoir domain to obtain the dynamic responses of the dam. An efficient absorbing boundary condition has been implemented at the truncation surfaces of the foundation and reservoir domains. A parametric study has been carried out considering each domain separately and collectively based on natural frequencies, crest displacement and stress at the neck level of the dam body. The combined frequency of the entire coupled system is very less than that of the each individual sub-system. The crest displacement and neck level stresses of the dam shows prominent enhancement when coupling effect is taken into consideration. These outcomes suggest that a complete coupled analysis is necessary to obtain the actual responses of the concrete gravity dam. The developed methodology can easily be implemented in finite element code for analyzing the coupled problem to obtain the desired responses of the individual subdomains.

명시적 주파수종속 2차원 무한요소를 사용한 지반-구조물 상호작용의 시간영역해석 (Soil-Structure Interaction Analysis in the Time Domain Using Explicit Frequency-Dependent Two Dimensional Infinite Elements)

  • 윤정방;김두기
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.42-49
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    • 1997
  • In this paper, the method for soil-structure interaction analyses in the time domain is proposed. The far field soil region which is the outside of the artificial boundary is modeled by using explicit frequency-dependent two dimensional infinite elements which can include multiple wave components propagating into the unbounded medium. Since the dynamic stiffness matrix of the far field soil region using the proposed infinite elements is obtained explicitly in terms of exciting frequencies and constants in the frequency domain, the matrix can be easily transformed into the displacement unit-impulse response matrix, which corresponds to a convolution integral of it in the time domain. To verify the proposed method for soil-structure interaction analyses in the time domain, the displacement responses due to an impulse load on the surface of a soil layer with the rigid bed rock are compared with those obtained by the method in the frequency domain and those by models with extend finite element meshes. Good agreements have been found between them.

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Dynamic analysis of concrete gravity dam-reservoir systems by wavenumber approach in the frequency domain

  • Lotfi, Vahid;Samii, Ali
    • Earthquakes and Structures
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    • 제3권3_4호
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    • pp.533-548
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    • 2012
  • Dynamic analysis of concrete gravity dam-reservoir systems is an important topic in the study of fluid-structure interaction problems. It is well-known that the rigorous approach for solving this problem relies heavily on employing a two-dimensional semi-infinite fluid element. The hyper-element is formulated in frequency domain and its application in this field has led to many especial purpose programs which were demanding from programming point of view. In this study, a technique is proposed for dynamic analysis of dam-reservoir systems in the context of pure finite element programming which is referred to as the wavenumber approach. In this technique, the wavenumber condition is imposed on the truncation boundary or the upstream face of the near-field water domain. The method is initially described. Subsequently, the response of an idealized triangular dam-reservoir system is obtained by this approach, and the results are compared against the exact response. Based on this investigation, it is concluded that this approach can be envisaged as a great substitute for the rigorous type of analysis.

비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬 (Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space)

  • 이계희
    • 한국전산구조공학회논문집
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    • 제23권2호
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    • pp.165-173
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    • 2010
  • 본 논문에서는 비동질 탄성무한공간에 대한 비례경계유한요소법의 동적강도행렬을 해석적으로 유도하였다. 해석영역의 비동질성은 비동질파라메터를 지수로 하는 멱함수로 고려하였다. 동적강도행렬은 진동수영역에서 다항식으로 점근전개한 후, 방사조건을 만족시키도록 하여 각 다항식의 계수를 구하는 과정을 통하여 유도되었다. 얻어진 동적강도행렬의 타당성을 검증하기 위해 정확해가 알려져 있는 대표적인 문제에 대하여 비동질파라메터의 값을 변화시키면서 수치해석을 수행하였다. 그 결과 유도된 동적강도행렬이 비동질공간에 대한 특성을 적절하게 반영하는 것으로 나타났다.

횡하중을 받는 지반-말뚝 상호작용계의 동적 주파수 응답해석 (Laterally Loaded Soil-Pile Interaction Analysis in Frequency Domain)

  • 김문겸;임윤묵;김민규;조석호
    • 한국전산구조공학회논문집
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    • 제13권4호
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    • pp.437-448
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    • 2000
  • 본 연구에서는 외부의 동하중에 의한 다층 지반-말뚝 상호작용계의 해석을 위한 동적 유한요소-경계요소 조합 주파수 응답해석 알고리즘을 개발하였다. 전체 상호작용계를 내부영역과 외부영역으로 나누고, 내부영역에 보요소를 도입하여 말뚝을 모형화 하고 평면변형률 요소로 모형화된 지반과 조합하였다. 말뚝머리 절점에 집중질량을 이용하여 상부구조물을 고려하므로써 전체 지반-말뚝 상호작용계의 내부영역을 형상화하였다. 외부영역에 동적 기본해를 이용한 경계요소 해석을 도입하고 유한요소로 구성된 내부영역과 조합하므로써 반무한체에 대한 방사조건을 만족시키고 내부의 복잡한 기하학적 성질과 다양한 물성의 고려가 가능한 수치해석 기법을 개발하였다. 개발된 지반-말뚝-구조물계의 상호작용 해석법에 대한 타당성을 알아보기 위해 다층반무한 지반에 근입되어진 말뚝에 조화하중을 가하여 동적 응답해석을 실시하고 기존의 연구결과 및 실험값과 비교 검증하였다. 또한 상호작용계의 주요 인자들의 변화를 통한 다양한 해석을 수행하므로써 다층 반무한 지반에 근입되어진 말뚝의 동적 특성을 고찰하였다.

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파워흐름경계요소법을 이용한 중고주파 소음해석 소프트웨어 'NASPFA' 개발 (Development of Noise Analysis Software-'NASPFA' in Medium-to-high Frequency Ranges using Power Flow Boundary Element Method)

  • 이호원;홍석윤;권현웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.949-953
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    • 2004
  • In this paper, Power Flow Boundary Element Method(PFBEM) is studied as the numerical method for the vibration and sound predictions of complex structures in medium-to-high frequency ranges. NASPFA, the sound analysis software based on PFBEM, is developed and is used for the vibro-acoustic analysis. And also the developed software is used for the prediction of interior and exterior sound fields of vibrating structures and for the analysis of the multi-domain problems. To verify the accuracy, NASPFA is applied to the prediction of the energy distribution in the simple structures, and its results are compared with exact PFA solutions. And various practical vehicle systems are modeled and the distributions of the acoustical energy density are successfully predicted.

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주변 공동을 고려한 터널의 동적거동에 관한 연구 (A Study on the Dynamic Behavior of Underground Tunnels with a Cavity)

  • 김민규;이종우;이종세
    • 터널과지하공간
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    • 제12권3호
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    • pp.171-178
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    • 2002
  • 본 연구에서는 마제형터널 주변에 공동이 존재하는 경우에 대해 동적해석을 수행함으로써 터널주변의 공동이 터널의 동적거동에 미치는 영향을 검토하였다. 이를 위해 반무한 평면상에서 터널의 동적응답해석을 수행할 수 있는 해석기법을 개발하였다. 먼저 주파수 영역에서의 다층 반무한 지반내에서의 동적 기본해를 유도하였고 이를 경계요소에 적용하였다. 외부영역을 모형화한 경계요소를 내부영역의 유한요소와 조합하여 반무한 영역에서의 터널구조의 동적응답을 구할 수 있도록 하였다. 개발된 기법의 검증을 위하여 단층 및 다층 반무한 구조계에 대해 Ricker 파형을 이용한 동적해석을 수행하여 기존의 해석결과와 비교하였고, 개발된 기법을 이용하여 석회암층에 있는 터널에 대해 공동의 유무 및 터널과의 이격거리에 따른 터널의 동적거동을 고찰하였다.