• 제목/요약/키워드: natural beam-column element

검색결과 12건 처리시간 0.019초

균일하게 탄성지지된 보-기둥요소의 엄밀한 동적강성행렬 유도 (Derivation of Exact Dynamic Stiffness Matrix of a Beam-Column Element on Elastic Foundation)

  • 김문영;윤희택;곽태영
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.463-469
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    • 2002
  • 탄성지반 위에 놓인 보-기둥 요소의 총포텐셜 에너지로부터 변분원리를 적용하여 지배방정식과 힘-변위 관계식을 유도하였다. 4계 상미분방정식 형태의 지배방정식을 4개의 변위 파라메타를 도입하여 1계 연립미분방정식 형태의 선형 고유치 문제로 전환하고, 힘-변위 관계식을 적용하여 엄밀한 정적, 동적 요소강성행렬을 유도하였다. 직접강성법을 이용하여 구조물 강성행렬을 구하고, 2차원 보-기둥구조의 엄밀한 좌굴하중과 고유진동수를 구하고, 결과를 유한요소해와 비교함으로써 본 연구의 타당성을 검증하였다. 이러한 엄밀한 해석방법은 Hermitian 다항식을 형상함수로 도입하여 요소의 강성행렬을 산정하는 유한요소법과 비교할 때, 요소의 수를 대폭 줄일 수 있는 장점이 있다.

Computationally efficient 3D finite element modeling of RC structures

  • Markou, George;Papadrakakis, Manolis
    • Computers and Concrete
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    • 제12권4호
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    • pp.443-498
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    • 2013
  • A detailed finite element modeling is presented for the simulation of the nonlinear behavior of reinforced concrete structures which manages to predict the nonlinear behavior of four different experimental setups with computational efficiency, robustness and accuracy. The proposed modeling method uses 8-node hexahedral isoparametric elements for the discretization of concrete. Steel rebars may have any orientation inside the solid concrete elements allowing the simulation of longitudinal as well as transverse reinforcement. Concrete cracking is treated with the smeared crack approach, while steel reinforcement is modeled with the natural beam-column flexibility-based element that takes into consideration shear and bending stiffness. The performance of the proposed modeling is demonstrated by comparing the numerical predictions with existing experimental and numerical results in the literature as well as with those of a commercial code. The results show that the proposed refined simulation predicts accurately the nonlinear inelastic behavior of reinforced concrete structures achieving numerical robustness and computational efficiency.

유공 보강 후판의 진동해석 (Vibration Analysis of Stiffened Opening Thick Plate)

  • 이효진;김일중;오숙경;정진택;이용수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.794-798
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    • 2004
  • This paper is analysis of stiffened opening thick plate on foundation. This paper has the object of investigating natural frequencies of opening thick plates on Pasternak foundation by means of finite element method and providing Kinematic design data for mat of building structures. In this paper, vibration analysis of rectangular opening thick plate is done by use of Serendipity finite element with 8 nodes by considering shearing strain of plate. And vibration analysis of stiffener is done by used of Timoshenko beam-column element wit 3 nodes. It is shown that natural frequencies depend on not only Winkler foundation parameter but also shear foundation parameter, opening position, opening size, stiffener size.

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4각형 골조의 고유치와 고유치 간의 관계 (The Eigenvalues and Their Relationships for the Rectangular Frame)

  • 이수곤;김순철;송창영;송상용
    • 한국구조물진단유지관리공학회 논문집
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    • 제9권3호
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    • pp.139-150
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    • 2005
  • 유한요소법을 이용하여 기둥단면이 직선형태로 변화하는 3경간 단층 골조의 두 고유치 (탄성임계하중과 횡방향 기본진동수)를 산정하였다. 수치해석에서 고려한 변수는 기둥의 taper 비 ($={\alpha}$), 경간대 층고비 ($={\beta}$), 보와 기둥의 단면2차 모멘트 비(=Y)이다. 또한 주각의 지지상태와 주두의 수평동(side-sway)유무가 고유치에 미치는 영향도 고려하였다. 하나의 연속함수로부터 고유치의 변화 추정이 가능한 대수 함수식을 제안하였다. 대수함수식의 변수는 수치해석에서의 변수 즉 ${\alpha}$, ${\beta}$ 및 Y 이다. 골조에 작용하는 축방향력의 크기를 점차 증가시켜 가면서 여기에 대응하는 진동수의 감소현상을 검토하였다.

A method for effective beam widths of slabs in flat plate structures under gravity and lateral loads

  • Choi, Jung-Wook;Song, Jin-Gyu
    • Structural Engineering and Mechanics
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    • 제21권4호
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    • pp.451-468
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    • 2005
  • Effective beam width models are commonly used to obtain the lateral stiffness of flat plate structures. In these models, an effective beam width is defined as the width when the flexural stiffness of the beam element equals the slab stiffness. In this present study, a method to obtain effective beam widths that considers the effects of connection geometry and slab cracking is analytically proposed. The rectangularity of the vertical member for the connection geometry and the combined effects of creep and shrinkage for the slab cracking are considered. The results from the proposed method are compared with experimental results from a test structure having nine slab-column connections.

Study on failure mechanism of multi-storeyed reinforced concrete framed structures

  • Ahmed, Irfan;Sheikh, Tariq Ahmad;Gajalakshmi, P.;Revathy, J.
    • Advances in Computational Design
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    • 제6권1호
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    • pp.1-13
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    • 2021
  • Failure of a Multi-storeyed reinforced concrete framed structure occurs when a primary vertical structural component is isolated or made fragile, due to artificial or natural hazards. Load carried by vertical component (column) is transferred to neighbouring columns in the structure, if the neighbouring column is incompetent of holding the extra load, this leads to the progressive failure of neighbouring members and finally to the failure of partial or whole structure. The collapsing system frequently seeks alternative load path in order to stay alive. One of the imperative features of collapse is that the final damage is not relative to the initial damage. In this paper, the effect on the column and beam adjacent to statically removed vertical element in terms of axial force, shear force and bending moment is investigated. Using Alternate load path method, numerical modelling of two dimensional one bay, two bay with variation in storey heights are analysed with FE model in order to obtain better understanding of failure mechanism of multi-storeyed reinforced concrete framed structure. The results indicate that the corner column is more susceptible to progressive collapse when compared to middle column, using this simplified methodology one can easily predict how the structure can be made to stay alive in case of sudden failure of any horizontal or vertical structural element before designing.

면내응력을 받는 보강 후판의 유한요소법에 의한 진동해석 (Vibration Analysis of Stiffened Thick Plate Subjected to Static Inplane Stress Using Finite Element Method)

  • 오숙경;김일중;이용수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.952-956
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    • 2004
  • The soil-structure interactions are caused by the point sources of explosions, deriving piles, compaction of foundations and excavations those are frequently arose in the construction sites. Thus the analysis of soil-structure interactions is one of the most important subjects in the fields of dynamic analysis and vibration control. From this viewpoint, the aim of this study is to collect the basic data for designing foundation structures throughout understanding the dynamic structural behavior, which is embodied by the dynamic analysis of soil-structure systems. In this study, the dynamic analyses of stiffened thick plates subjected to in-plane stress on elastic foundations are carried out. The foundation is modeled as Pasternak foundation that includes the continuity effect of foundations. Also both the Mindlin plate theory and Timoshenko beam-column theory are used for analyzing the thick plates and beams, respectively.

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Pasternak지반위에 놓인 보강판의 고유치해석 (Eigenvalue Analysis of Stiffened Plates on Pasternak Foundations)

  • 이병구;김일중;오숙경;이용수
    • 한국전산구조공학회논문집
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    • 제18권2호
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    • pp.151-158
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    • 2005
  • 본 연구에서는 유한요소법을 이용하여 Pasternak 지반 위에 놓인 보강판의 고유치해석을 수행하였다. 보강판 해석은 Mindlin 판 이론과 Timoshenko 보-기둥 이론을 적용하여 해석하였으며, 유한요소법 적용시 판요소는 8절점 Serendipity 요소계를, 보요소는 3절점 유한요소를 적용하였다. 탄성지반은 지반의 연속성을 고려한 Pasternak 지반으로 모형화하였다. 본 연구의 타당성을 검증하기 위하여 이 연구의 결과를 문헌, 실험 및 SAP 2000의 결과와 비교하였다. 이 연구의 결과로 문헌 해가 존재하지 않는 Pasternak 지반 위에 놓인 보강판의 지반 변수의 변화 및 보강재 크기에 따른 고유진동수를 산정하였다.

정현상 비대칭으로 Taper진 부재의 임계하중과 고유진동수와의 관계 (The Relationship between Critical Load and Frequency of Sinusolidally Non-symmetrically Tapered Member)

  • 이혁;홍종국;이수곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.59-66
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    • 2000
  • It is generally known that the lateral frequency( ω) of the vibration of a prismatic beam-column decreases according to the rele (equation omitted) (ω/sub 0/=natural frequency). In the cases of tapered members, the determination of P/ sub/ cr/(elastic critical load) and ω/ sub 0/ are not easy. Furthermore, the relationship between the compressive load and frequency can not be determined by the conventional analytical method. The axial force-frequency relationship of sinusolidally non-symmetrically tapered members with different shapes were investigated using the finite element method. To obtain the two eigenvalues, the axial thrust was increased step by step and the corresponding frequency was calculated. The result indicated that the axial thrust of the elastic critical load ratio and the square of the frequency ratio can be approximately represented in any case by a straight line. Finally, the linear relationship is also applicable to the sinusolidally non-symmetrically tapered member.

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깊은굴착 설계를 위한 인공신경망 개발에 관한 연구 (A Study on Development of Artificial Neural Network (ANN) for Deep Excavation Design)

  • 유충식;양재원
    • 한국지반신소재학회논문집
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    • 제17권4호
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    • pp.199-212
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    • 2018
  • 본 연구에서는 깊은 굴착에 따른 인접구조물의 손상 평가 및 벽체 구조물의 안정성 평가를 하기 위한 지표의 거동 및 벽체 부재력의 효율적인 예측기법에 대한 내용을 다루었다. 우선적으로 지표의 거동 및 벽체 부재력에 영향을 미치는 매개 변수에 대한 연구를 수행하였고, 이를 토대로 다양한 굴착 조건에 대해 수치해석을 실시한 결과를 통해 데이터베이스를 구축하였다. 구축된 데이터베이스를 토대로 벽체의 부재력과 지표의 거동 각각의 해석 결과에 대한 인공신경망 엔진 학습을 수행하였으며 학습된 인공신경망을 이용하여 예측된 결과와 사용된 데이터베이스의 결과를 비교하여 인공신경망 엔진이 벽체의 부재력 및 지표의 거동예측에 효율적임을 검증하였다.