• Title/Summary/Keyword: nonlinear numerical analysis

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The Structural Behavior of Cold-Formed Steel Composite Beams (냉간성형강재를 이용한 합성보의 구조적인 거동)

  • 양구록;송준엽;권영봉
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.206-213
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    • 1999
  • The behavior of composite beams, which are composed of cold-formed steel sheeting and normal strength concrete, have been studied. An analytical method has been developed to trace the nonlinear behavior of composite beams. The nonlinear material properties of steel sheeting, reinforcing steel bar and concrete have been included in the analysis. The nonlinear moment-curvature relation of the composite beam has been described using a cross section analysis method and a simple power model, separately. The load-deflection behavior of the beams has been simulated by step-by-step numerical integration method and is compared with test results.

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Seismic Analysis of Tunnel Response by Response Displacement Method (응답변위법에 의한 터널의 내진해석)

  • Yun, Se-Ung;Shin, Jong-Ho;Park, Du-Hee
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.457-462
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    • 2009
  • In this study, seismic analysis is performed using simplified method, analytical solution and numerical analysis based on one-dimensional seismic site response analysis. The results show that analytical solution of tunnel response is predicted more conservative than numerical solution. And simplified method is not appropriate for seismic analysis of tunnel response. In addition, it is reasonable to determine shear-modulus reduction ratio performing seismic site response analysis to consider ground nonlinear-behavior.

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3-D analysis of sloshing motion in a fluid container with nonlinear boundary conditions (비선형 경계조건을 고려한 내부 유체의 3차원 자유수면 유동해석)

  • 김문겸;임윤묵;조경환;박종헌;이성민
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.177-184
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    • 2002
  • Large amplitude sloshing can occur in contained fluid region due to the seismic ground motion. Also, The pressure by large amplitude sloshing damages the connections between the wall and roof of a fluid container and causes outflow of contained fluid. Therefore, to predict the dynamic behavior accurately, three dimensional analysis with the nonlinear boundary condition must be performed. In this study, the numerical solution procedure is developed using the boundary element method with the Lagrangian particle approach. In order to demonstrate the accuracy and validity of the developed method, the fluid motion for a free oscillation with small amplitude and a forced vibration are analyzed. And the numerical results are compared with the linear theory results and the previous studies with the nonlinear boundary condition.

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Dynamic Analysis of Simply Supported Flexible Structures Undergoing Large Overall Motion (전체운동을 하는 단순지지 유연 구조물의 동적해석)

  • 유홍희
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.6
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    • pp.1363-1370
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    • 1995
  • A nonlinear dynamic modeling method for simply supported structures undergoing large overall motion is suggested. The modeling method employs Rayleigh-Ritz mode technique and Von Karman nonlinear strain measures. Numerical study shows that the suggested modeling method provides qualitatively different results from those of the Classical Linear Cartesian modeling method. Especially, natural frequency variations and residual deformation due to membrane strain effects are observed in the numerical results obtained by the suggested modeling method.

Advanced Geometrically Nonlinear FE Analysis of PSC Shell Structures (프리스트레스트 콘크리트 첼 구조물의 개선된 기하비선형 유한요소해석)

  • Oh Byung Hwan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.195-200
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    • 2001
  • Numerical procedures for the geometrically nonlinear finite element analysis of prestressed concrete shell structures under tendon-induced nonconservative loads have been presented. The equivalent load approach is employed to realize the effect of prestressing tendon. In this study, the tendon-induced nonconservative loads are rigorously formulated into the load correction stiffness matrix(LCSM) taking the characteristics of Present shell element into account. Also, improved nonlinear formulations of a shell element are used by including second order rotations in the displacement field. Numerical example shows that beneficial effect on the convergence behavior can be obtained by the realistic evaluation of tangent stiffness matrix according to the present approaches.

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Numerical method for biaxially loaded reinforced and prestressed concrete slender columns with arbitrary section

  • Lou, T.J.;Xiang, Y.Q.
    • Structural Engineering and Mechanics
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    • v.28 no.5
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    • pp.587-601
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    • 2008
  • In this study, a numerical procedure based on the finite element method for materially and geometrically nonlinear analysis of reinforced and prestressed concrete slender columns with arbitrary section subjected to combined biaxial bending and axial load is developed. In order to overcome the low computer efficiency of the conventional section integration method in which the reinforced concrete section is divided into a large number of small areas, an efficient section integration method is used to determine the section tangent stiffness. In this method, the arbitrary shaped cross section is divided into several concrete trapezoids according to boundary vertices, and the contribution of each trapezoid to section stiffness is determined by integrating directly the trapezoid. The space frame flexural theory is utilized to derive the element tangent stiffness matrix. The nonlinear full-range member response is traced by an updated normal plane arc-length solution method. The analytical results agree well with the experimental ones.

Nonlinear analysis of connectors applied on concrete composite constructions

  • Winkler, B.;Bianchi, P.;Siemers, M.
    • Computers and Concrete
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    • v.3 no.2_3
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    • pp.91-102
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    • 2006
  • To place concrete overlays has become a standard application in the strengthening and rehabilitation of concrete structures such as bridges, tunnels, parking decks and industrial buildings. In general, connectors are used to ensure a monolithic behavior of the two concrete layers. Within the framework of the development of a new connector wedge splitting tests and shear tests were performed, in addition nonlinear finite element analyses were applied to investigate the load transfer behavior of the connectors for different prototypes. The numerical simulation results were compared to experimental data. The computed load-displacement curve demonstrates good correspondence with the curves obtained in the experiments, and the experimental crack patterns are reasonably simulated by the computed crack propagation. Both numerical and experimental investigations on the wedge splitting test and on the shear test served as basis for the development of new type of connectors.

Direct integration method for stochastic finite element analysis of nonlinear dynamic response

  • Zhang, S.W.;Ellingwood, B.;Corotis, R.;Zhang, Jun
    • Structural Engineering and Mechanics
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    • v.3 no.3
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    • pp.273-287
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    • 1995
  • Stochastic response of systems to random excitation can be estimated by direct integration methods in the time domain such as the stochastic central difference method (SCDM). In this paper, the SCDM is applied to compute the variance and covariance in response of linear and nonlinear structures subjected to random excitation. The accuracy of the SCDM is assessed using two-DOF systems with both deterministic and random material properties excited by white noise. For the former case, closed-form solutions can be obtained. Numerical results also are presented for a simply supported geometrically nonlinear beam. The stiffness of this beam is modeled as a random field, and the beam is idealized by the stochastic finite element method. A perturbation technique is applied to formulate the equations of motion of the system, and the dynamic structural response statistics are obtained in a time domain analysis. The effect of variations in structural parameters and the numerical stability of the SCDM also are examined.

Efficient parameters to predict the nonlinear behavior of FRP retrofitted RC columns

  • Mahdavi, Navideh;Ahmadi, Hamid Reza;Bayat, Mahmoud
    • Structural Engineering and Mechanics
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    • v.70 no.6
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    • pp.703-710
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    • 2019
  • While fiber-reinforced plastic (FRP) materials have been largely used in the retrofitting of concrete buildings, its application has been limited because of some problems such as de-bonding of FRP layers from the concrete surface. This paper is the part of a wide experimental and analytical investigation about flexural retrofitting of reinforced concrete (RC) columns using FRP and mechanical fasteners (MF). A new generation of MF is proposed, which is applicable for retrofitting of RC columns. Furthermore, generally, to evaluate a retrofitted structure the nonlinear static and dynamic analyses are the most accurate methods to estimate the performance of a structure. In the nonlinear analysis of a structure, accurate modeling of structural elements is necessary for estimation the reasonable results. So for nonlinear analysis of a structure, modeling parameters for beams, columns, and beam-column joints are essential. According to the concentrated hinge method, which is one of the most popular nonlinear modeling methods, structural members shall be modeled using concentrated or distributed plastic hinge models using modeling parameters. The nonlinear models of members should be capable of representing the inelastic response of the component. On the other hand, in performance based design to make a decision about a structure or design a new one, numerical acceptance should be determined. Modeling parameters and numerical acceptance criteria are different for buildings of different types and for different performance levels. In this paper, a new method was proposed for FRP retrofitted columns to avoid FRP debonding. For this purpose, mechanical fasteners were used to achieve the composite behavior of FRP and concrete columns. The experimental results showed that the use of the new method proposed in this paper increased the flexural strength and lateral load capacity of the columns significantly, and a good composition of FRP and RC column was achieved. Moreover, the modeling parameters and acceptance criteria were presented, which were derived from the experimental study in order to use in nonlinear analysis and performance-based design approach.

Numerical Evaluation of Control Force in Rectangular Tuned Liquid Damper (사각형 동조 액체 감쇄장치(TLD)에서 조절하중의 수치적 산정)

  • 정일영;황종국
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.250-257
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    • 1995
  • The properties of Tuned Liquid Damper are investigated theoretically. In this study, numerical model is a nonlinear model for a rectangular TLD under horizontal motion on the basis of the shallow water wave theory, where the damping of the liquid motion is included semianalytically. For TLD subjected to harmonic external force, the liquid motion of TLD is simulated. Analysis result is showed that liquid motion in TLD is strongli nonlinear even under small excitation.

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