• Title/Summary/Keyword: 변위증분법

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Finite Element Method for Structural Concrete Based on the Compression Field Theory (압축응력장 이론을 적용한 콘크리트 유한요소법 개발)

  • 조순호
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.151-159
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    • 1996
  • A finite element formulation based on the CFT(Compression Field Theory) concept such as the effect of compression softening in cracked concrete, and macroscopic and rotating crack models etc. was presented for the nonlinear behaviour of structural concrete. In this category, tangential or secant material stiffnesses for cracked concrete were also defined and discussed in view of the iterative solution schemes for nonlinear equations. Considering the computational efficiency and the ability of modelling the post-ultimate behaviour as major concerns, the incremental displacement solution algorithm involving initial material stiffnesses and the relaxation procedure for fast convergence was adopted and formulated in a type of 8-noded quadrilateral isoparametric elements. The analysis program NASCOM(Nonlinear Analysis of structrual Concrete by FEM : Monotonic Loading) developed baed on the CFT constitutive relationships and the incremetal solution strategy described enables the predictions of strength and deformation capacities in a full range. crack patterns and their corresponding widths, and yield extents of reinforcement. As the verfication purpose of NASCOM, the prediction of Cervenka's panel test results including the load resistance and the deformation history was made. A limited number of predictions indicate a good correlation in a general sense.

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Dynamic Nonlinear Analysis of Ocean Cables Subjected to Wave Forces (파력을 받는 해양케이블의 동적 비선형 해석)

  • 김문영;김남일;이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.4
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    • pp.173-188
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    • 1999
  • Kim et al.(I999) presented a non-linear finite element formulation of spatial ocean cables using multiple noded cable elements. The initial equilibrium state of ocean cables subjected to self-weights, support motions, and current forces was determined using the load incremental method and free vibration analysis were performed considering added mass, In this paper, the methods to generate regular and irregular waves and calculate wave forces due to these waves are discussed and challenging example problems are presented in order to investigate dynamic non-linear behaviors of ocean cables subjected to wave loadings.

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A Study on the Failure Mechanisms of the Mixed-face Tunnels in Decomposed Granite (화강토지반내 복합막장터널의 파괴메카니즘 연구)

  • 신종호;이인근
    • Journal of the Korean Geotechnical Society
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    • v.17 no.4
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    • pp.317-329
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    • 2001
  • 서울지하철 터널의 상당 구간이 막장면이 풍화토에서 풍화암까지 변화하는 복합화강토지반에 건설되어 왔다. 화강암풍화지반은 심도에 따라 강도의 변화가 크며, 수위가 높고 투수성 지반인 특징을 갖는다. 터널은 주로 비원형 배수터널로 설계되고 NATM 공법으로 시공되었다. 이와 같은 여건의 터널현장에서 발생하였던 붕괴사례를 조사한 결과, 대부분의 붕괴가 터널 어깨 부근으로부터 시작되었고, 구조적으로 완전하지 않은 라이닝, 그리고 지하수와의 연관성 등의 공통적 특징이 확인되었다. 이러한 터널문제는 지반조건, 시공조건, 터널형상 등 경계조건이 복잡하여 한계평형 해석과 같은 종래의 해석적 방법으로 터널안정을 검토하기가 용이하지 않다. 그 가장 큰 이유중의 하나는 터널의 파괴메카니즘에 대한 분명한 정보를 알 수 없는데 있다. 파괴메카니즘의 조사에는 전통적으로 원심모형시험법이 많이 사용되어 왔다. 그러나 화강토지반내의 터널처럼 복잡한 경계조건을 갖는 터널문제에는 적용하기 어렵다. 따라서 이에 대한 하나의 대안으로서 본 논문에서는 지반거동의 비선형성을 고려하는 Coupled 수치해석법을 이용하여 파괴메카니즘을 조사하였다. 수치해석결과의 증분변위벡터, 누적소성편차변형률 그리고 속도특성치(velocity characteristics)의 분석을 통해 실제 붕괴사례와 잘 일치하는 명확한 파괴메카니즘을 파악할 수 있었다. 이로부터 복잡한 경계조건을 갖는 터널 문제의 안정해석을 위한 파괴메카니즘을 조사하는 수치해석적 접근방법을 제시하였다.

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Determination Process of Drift Capacity for Seismic Performance Evaluation of Steel Tall Buildings (초고층 철골 건축물의 내진성능평가를 위한 Drift Capacity 산정 프로세스)

  • Min, Ji Youn;Oh, Myoung Ho;Kim, Myeong Han;Kim, Sang Dae
    • Journal of Korean Society of Steel Construction
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    • v.18 no.4
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    • pp.481-490
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    • 2006
  • The actual performance of a building during an earthquake depends on many factors. The prediction of the seismic performance of a new or existing structure is complex, due not only to the large number of factors that need to be considered and the complexity of the seismic response, but also due to the large inherent uncertainties and randomness associated with making these predictions. A central issue of this research is the proper treatment and incorporation of these uncertainties and randomness in the evaluation of structural capacity and response has been adopted in the seismic performance evaluation of steel tall buildings to account for the uncertainties and randomness in seismic demand and capacities in a consistent manner. The basic framework for reliability-based seismic performance evaluation and the key factors for statistical studies were summarized. A total of 36 target structures that represent typical tall steel buildings based on national building code (KBC-2005) were designed for the statistical studies of demand factor s and capacity factors. The incremental dynamic analysis (IDA) approach was examined through the simple steel moment frame building in determination of global drift capacity.

Fiber Finite Element Mixed Method for Nonlinear Analysis of Steel-Concrete Composite Structures (강-콘크리트 합성구조물의 비선형해석을 위한 화이버 유한요소 혼합법)

  • Park, Jung-Woong;Kim, Seung-Eock
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6A
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    • pp.789-798
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    • 2008
  • The stiffness method provides a framework to calculate the structural deformations directly from solving the equilibrium state. However, to use the displacement shape functions leads to approximate estimation of stiffness matrix and resisting forces, and accordingly results in a low accuracy. The conventional flexibility method uses the relation between sectional forces and nodal forces in which the equilibrium is always satisfied over all sections along the element. However, the determination of the element resisting forces is not so straightforward. In this study, a new fiber finite element mixed method has been developed for nonlinear anaysis of steel-concrete composite structures in the context of a standard finite element analysis program. The proposed method applies the Newton method based on the load control and uses the incremental secant stiffness method which is computationally efficient and stable. Also, the method is employed to analyze the steel-concrete composite structures, and the analysis results are compared with those obtained by ABAQUS. The comparison shows that the proposed method consistently well predicts the nonlinear behavior of the composite structures, and gives good efficiency.

Finite Element Analysis of Reinforced Concrete Hollow Columns Using Path-dependent Volume Control Method (경로의존형 체적제어법을 이용한 철근콘크리트 중공 기둥의 유한요소해석)

  • Song, Ha-Won;Nam, Sang-Hyeok;Lim, Sang-Mook
    • Journal of the Korea Concrete Institute
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    • v.19 no.3
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    • pp.341-350
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    • 2007
  • The volume control method which utilize a pressure node added into a finite shell element can overcome the drawbacks of conventional load control method and displacement control method. In this study, an improved volume control method is introduced for effective analysis of path-dependent behaviors of RC columns subjected to lateral cyclic loading or reversed cyclic loading along with compressive loading. RC shell structures and RC hollow columns are analyzed by discretizing the structures with layered shell elements and by applying in-plane two dimensional constitutive equations for concrete layers and reinforcement layers of the shell elements. The so-called path dependent volume control method as a finite element analysis technique is verified by comparing analysis results with other data including experimental results. The validity and applicability of the modeling technique is also confirmed by the comparison.

The Analysis of the Bearing Capacity of Layered Clay by Numerical Methods (수치해석적 방법에 의한 층상 점토지반의 극한지지력 해석)

  • 김영민
    • Journal of the Korean Geotechnical Society
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    • v.19 no.1
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    • pp.121-129
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    • 2003
  • Numerical studies on bearing capacity problems of layered clay are performed for smooth and rough strip footings. The finite element method and finite difference method (FLAC) are used for computations of the bearing capacity, entire load-displacement curve and the failure mechanism. The presented results show that it is possible to analyze the bearing capacity of layered clay and to give a progressive failure mechanism clearly. To obtain high quality solutions, it is necessary to review the results on control parameters(e.g., yield function, number of calculation) and compare the results by two numerical methods.

Dynamic Non-Linear Analysis of Ocean Cables Subjected to Earthquakes (지진력을 받는 해양케이블의 동적 비선형해석)

  • 김남일;신현목
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.2
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    • pp.77-86
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    • 1999
  • In the previous $paper^{(1),(2)}$, a geometrically non-linear finite element formulation of spatial cables subjected to self-weights and support motions was presented using multiple noded cable elements and how to determine the initial equililbrium state of cables was addressed. In this paper, in order to perform dynamic non-linear analysis of ocean cables subjected to support motions and earthquakes, a numerical method to calculate Morison forces and incorporate effects of earthquake motions is presented based on the Newmark method. Challenging example problems are presented in order to investigate dynamic non-linear behaviors of ocean cables subjected to support motions and earthquake loadings.

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Time-domain Finite Element Formulation for Linear Viscoelastic Analysis Based on a Hereditary Type Constitutive Law (유전적분형 물성방정식에 근거한 선형 점탄성문제의 시간영역 유한요소해석)

  • 심우진;이호섭
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1429-1437
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    • 1992
  • A new finite element formulation based on the relaxation type hereditary integral is presented for a time-domain analysis of isotropic, linear viscoelastic problems. The semi-discrete variational approximation and elastic-viscoelastic correspondence principle are used in the theoretical development of the proposed method. In a time-stepping procedure of final, linear algebraic system equations, only a small additional computation for past history is required since the equivalent stiffness matrix is constant. The viscoelasticity matrices are derived and the stress computation algorithm is given in matrix form. The effect of time increment and Gauss point numbers on the numerical accuracy is examined. Two dimensional numerical examples of plane strain and plane stress are solved and compared with the analytical solutions to demonstrate the versatility and accuracy of the present method.

Direct Time Domain Method for Nonlinear Earthquake Response Analysis of Dam-Reservoir Systems (댐-호소계 비선형 지진응답의 직접시간영역 해석기법)

  • Lee, Jin-Ho;Kim, Jae-Kwan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.3
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    • pp.11-22
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    • 2010
  • An analysis method is proposed for the transient linear or nonlinear analysis of dynamic interactions between a flexible dam body and reservoir impounding compressible water under earthquake loadings. The coupled dam-reservoir system consists of three substructures: (1) a dam body with linear or nonlinear behavior; (2) a semi-infinite fluid region with constant depth; and (3) an irregular fluid region between the dam body and far field. The dam body is modeled with linear and/or nonlinear finite elements. The far field is formulated as a displacement-based transmitting boundary in the frequency domain that can radiate energy into infinity. Then the transmitting boundary is transformed for the direct coupling in the time domain. The near field region is modeled as a compressible fluid contained between two substructures. The developed method is verified and applied to various earthquake response analyses of dam-reservoir systems. Also, the method is applied to a nonlinear analysis of a concrete gravity dam. The results show the location and severity of damage demonstrating the applicability to the seismic evaluation of existing and new dams.