• 제목/요약/키워드: interaction element

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축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용 (Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems)

  • 신호성;김진욱
    • 한국지반공학회논문집
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    • 제36권12호
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    • pp.27-34
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    • 2020
  • 구조물에 대한 축대칭 쉘요소는 지반과 구조물의 상호작용에 대한 유한요소해석에서 효율성과 정확성을 높이게 된다. 본 논문에서는 Kirchhoff 이론에 근거한 축대칭 쉘요소의 힘평형 방정식과 모멘트 평형 방정식을 유도하였다. 축방향 변형에 대한 지배방정식은 등매개변수 형상함수를 이용한 Galerkin 수식화를 수행하고, 휨에 대한 지배방정식은 고차의 형상함수를 이용하였다. 개발된 축대칭 쉘요소는 지반과의 연계해석을 위하여 지반해석 유한요소 프로그램인 Geo-COUS에 결합하였다. 원형판과 액체 저장 탱크에 대한 예제해석을 통하여 개발된 요소의 정확성을 확인하였다. 그리고 축대칭 쉘요소에 대한 에너지 평형방정식을 제시하였다.

Analysis of side-plated reinforced concrete beams with partial interaction

  • Siu, W.H.;Su, R.K.L.
    • Computers and Concrete
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    • 제8권1호
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    • pp.71-96
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    • 2011
  • Existing reinforced concrete (RC) beams can be strengthened with externally bolted steel plates to the sides of beams. The effectiveness of this type of bolted side-plate (BSP) beam can however be affected by partial interaction between the steel plates and RC beams due to the mechanical slip of bolts. To avoid over-estimation of the flexural strength and ensure accurate prediction of the load-deformation response of the beams, the effect of partial interaction has to be properly considered. In this paper, a special non-linear macro-finite-element model that takes into account the effects of partial interaction is proposed. The RC beam and the steel plates are modelled as two different elements, interacting through discrete groups of bolts. A layered method is adopted for the formulation of the RC beam and steel plate elements, while a special non-linear model based on a kinematic hardening assumption for the bolts is used to simulate the bolt group effect. The computer program SiBAN was developed based on the proposed approach. Comparison with the available experimental results shows that SiBAN can accurately predict the partial interaction behaviour of the BSP beams. Further numerical simulations show that the interaction between the RC beam and the steel plates is greatly reduced by the formation of plastic hinges and should be considered in analyses of the strengthened beams.

스펙트랄요소법(SEM)을 이용한 파랑-조류 상호작용 현상 수치해석 연구 (Numerical Analysis of Wave-Current Interaction Phenomenon Using the Spectral Element Method)

  • 성홍근;홍기용;경조현;홍사영
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 추계학술대회 논문집(제1권)
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    • pp.181-186
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    • 2006
  • 본 논문에서는 Freak Wave의 생성원인에 대하여 간략히 논의하였으며, 이 중 파랑-조류 비선형 상호작용에 대한 이론 및 수치적 해석기법의 역사와 장단점 등을 기술한다. 본 연구에서는 파랑-조류 상호작용에 대한 수치모델링 및 해석 기법을 개발하고 있다. 개발 중인 수치해석 기법은 공간적으로 불균일한 조류와 파랑의 비선형 상호작용을 해석하기 위하여 Navier-Stokes 방정식을 이용하여 유동현상을 모델링하였으며, 이산화를 위하여 스펙트랄요소법(Spectral Element Method; SEM)을 이용하였다. 또한 자유표면의 운동을 효과적으로 기술하기 위하여 ALE(Arbitrary Lagrangian-Eulerian)기법을 사용하였다. 본 연구의 유동 모델과 수치해석기법의 과정과 특성, 그리고 장점 등에 대하여 논의하였으며, 초기적인 수치해석 결과를 제시하였다. 이를 바탕으로 개발된 수치해석기법의 정확성 및 수렴성을 확인할 수 있다.

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지반-구조물 상호작용 원심모형시험에 대한 수치해석 (Numerical Simulation of Soil-Structure Interaction in Centrifuge Shaking Table System)

  • 김동관;박홍근;김동수;이세현
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회
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    • pp.201-204
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    • 2010
  • Earthquake load to design a structure has been calculated from a fixed base SDOF model using amplified surface accelerations along soft soil layers. But the method dose not consider a soil-structure interaction. Centrifugal experiments that were consisted of soil, a shallow foundation and a structure were performed to find the effects of soil-structure interaction. The experiments showed that mass and stiffness of the foundation affected a response of the structure and nonlinear behavior of soil near the foundation. And a rocking displacement caused by overturning moment affected the response and increases a damping effect. In this study, the centrifugal experiment was simulated as a two dimensional finite element model. The finite element model was used for nonlinear time domain analysis of the OpenSees program. The numerical model accurately evaluated the behaviors of soil and the foundation, but the rocking effect and the behavior of structure were not described.

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무한 다공성 매질에서의 비선형 파전파 해석과 지반-구조물 상호작용 해석을 위한 실용적 수치 모형 (Practical Numerical Model for Nonlinear Analyses of Wave Propagation and Soil-Structure Interaction in Infinite Poroelastic Media)

  • 이진호
    • 한국지진공학회논문집
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    • 제22권7호
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    • pp.379-390
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    • 2018
  • In this study, a numerical approach based on mid-point integrated finite elements and a viscous boundary is proposed for time-domain wave-propagation analyses in infinite poroelastic media. The proposed approach is accurate, efficient, and easy to implement in time-domain analyses. In the approach, an infinite domain is truncated at some distance. The truncated domain is represented by mid-point integrated finite elements with real element-lengths and a viscous boundary is attached to the end of the domain. Given that the dynamic behaviors of the proposed model can be expressed in terms of mass, damping, and stiffness matrices only, it can be implemented easily in the displacement-based finite-element formulation. No convolutional operations are required for time-domain calculations because the coefficient matrices are constant. The proposed numerical approach is applied to typical wave-propagation and soil-structure interaction problems. The model is verified to produce accurate and stable results. It is demonstrated that the numerical approach can be applied successfully to nonlinear soil-structure interaction problems.

지반-골조구조물 상호작용계의 3차원 정.동적 해석 (3-Dimensional Static and Dynamic Analysis of Soil-Framework Interaction System)

  • 서상근;장병순
    • 전산구조공학
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    • 제10권2호
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    • pp.243-254
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    • 1997
  • 기초 지반상에 존재하는 3차원 골조구조물에 진동을 유발시키는 기계하중, 풍하중, 지진과 같은 동적 하중이 작용한다면, 지반-골조구조물 상호작용계의 동적거동을 해석하여야한다. 따라서, 본 연구에서는 실제 구조물에 근접한 기하학적 형상으로 이상화 시키기 위해, 슬래브와 기초판은 유연성을 갖는 4-절점 판요소, 보.기둥은 2-절점 보요소, 탄성지반은 8-절점 입체요소를 사용하여 유한요소법으로 3차원 상호작용계를 해석하였다. 본 연구의 목적은 지반-골조구조물 상호작용계의 동적 거동을 해석하기 위해, 동적 운동 방정식을 정리한 후 유한요소 프로그램으로 상호작용계의 동적 거동을 해석하는 것이다.

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Bonded-cluster simulation of tool-rock interaction using advanced discrete element method

  • Liu, Weiji;Zhu, Xiaohua;Zhou, Yunlai;Li, Tao;Zhang, Xiangning
    • Structural Engineering and Mechanics
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    • 제72권4호
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    • pp.469-477
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    • 2019
  • The understanding of tool-rock interaction mechanism is of high essence for improving the rock breaking efficiency and optimizing the drilling parameters in mechanical rock breaking. In this study, the tool-rock interaction models of indentation and cutting are carried out by employing the discrete element method (DEM) to examine the rock failure modes of various brittleness rocks and critical indentation and cutting depths of the ductile to brittle failure mode transition. The results show that the cluster size and inter-cluster to intra-cluster bond strength ratio are the key factors which influence the UCS magnitude and the UCS to BTS ratio. The UCS to BTS strength ratio can be increased to a more realistic value using clustered rock model so that the characteristics of real rocks can be better represented. The critical indentation and cutting depth decrease with the brittleness of rock increases and the decreasing rate reduces dramatically against the brittleness value. This effort may lead to a better understanding of rock breaking mechanisms in mechanical excavation, and may contribute to the improvement in the design of rock excavation machines and the related parameters determination.

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.

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.

Investigation on deck-stay interaction of cable-stayed bridges with appropriate initial shapes

  • Liu, Ming-Yi;Lin, Li-Chin;Wang, Pao-Hsii
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.691-709
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    • 2012
  • This paper provides a variety of viewpoints to illustrate the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges. Based on the smooth and convergent bridge shapes obtained by the initial shape analysis, the one-element cable system (OECS) and multi-element cable system (MECS) models of the Kao Ping Hsi Bridge in Taiwan are developed to verify the applicability of the analytical model and numerical formulation from the field observations in the authors' previous work. For this purpose, the modal analysis of the two finite element models are conducted to calculate the natural frequency and normalized mode shape of the individual modes of the bridge. The modal coupling assessment is also performed to obtain the generalized mass ratios among the structural components for each mode of the bridge. The findings indicate that the coupled modes are attributed to the frequency loci veering and mode localization when the "pure" deck-tower frequency and the "pure" stay cable frequency approach one another, implying that the mode shapes of such coupled modes are simply different from those of the deck-tower system or stay cables alone. The distribution of the generalized mass ratios between the deck-tower system and stay cables are useful indices for quantitatively assessing the degree of coupling for each mode. These results are demonstrated to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges.