• 제목/요약/키워드: non-linear moment-curvature

검색결과 24건 처리시간 0.026초

Force-deformation behaviour modelling of cracked reinforced concrete by EXCEL spreadsheets

  • Lam, Nelson;Wilson, John;Lumantarna, Elisa
    • Computers and Concrete
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    • 제8권1호
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    • pp.43-57
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    • 2011
  • Force-deformation modelling of cracked reinforced concrete is essential for a displacement-based seismic assessment of structures and can be achieved by fibre-element analysis of the cross-section of the major lateral resisting elements. The non-linear moment curvature relationship obtained from fibre-element analysis takes into account the significant effects of axial pre-compression and contributions by the longitudinal reinforcement. Whilst some specialised analysis packages possess the capability of incorporating fibre-elements into the modelling (e.g., RESPONSE 2000), implementation of the analysis on EXCEL is illustrated in this paper. The outcome of the analysis is the moment-curvature relationship of the wall cross-section, curvature at yield and at damage control limit states specified by the user. Few software platforms can compete with EXCEL in terms of its transparencies, versatility and familiarity to the computer users. The program has the capability of handling arbitrary cross-sections that are without an axis of symmetry. Application of the program is illustrated with examples of typical cross-sections of structural walls. The calculated limiting curvature for the considered cross-sections were used to construct displacement profiles up the height of the wall for comparison with the seismically induced displacement demand.

Comparison among different software for the evaluation of moment-curvature of R.C. columns

  • Montuori, Rosario;Nastri, Elide;Palese, Maria Ilenia;Piluso, Vincenzo
    • Computers and Concrete
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    • 제24권3호
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    • pp.259-269
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    • 2019
  • The work aims at the comparison among commonly used research programs concerning moment-curvature ($M-{\chi}$) diagrams of confined R.C. members. The software considered in this work are Sap2000, SeismoStruct and Opensees. The curves provided by these software, given the same modelling, have been compared to those provided by a theoretical fiber model. A parametric analysis has been led on rectangular column sections with different level of axial load and different stirrups spacing. The accuracy of the modelling of the considered structural programs has been investigated by comparing their results with those obtained by applying the theoretical fiber model.

Wave load resistance of high strength concrete slender column subjected to eccentric compression

  • Jayakumar, M.;Rangan, B.V.
    • Structural Engineering and Mechanics
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    • 제50권3호
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    • pp.287-304
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    • 2014
  • A computer based iterative numerical procedure has been developed to analyse reinforced high strength concrete columns subjected to horizontal wave loads and eccentric vertical load by taking the material, geometrical and wave load non-linearity into account. The behaviour of the column has been assumed, to be represented by Moment-Thrust-Curvature relationship of the column cross-section. The formulated computer program predicts horizontal load versus deflection behaviour of a column up to failure. The developed numerical model has been applied to analyse several column specimens of various slenderness, structural properties and axial load ratios, tested by other researchers. The predicted values are having a better agreement with experimental results. A simplified user friendly hydrodynamic load model has been developed based on Morison equation supplemented with a wave slap term to predict the high frequency non-linear impulsive hydrodynamic loads arising from steep waves, known as ringing loads. A computer program has been formulated based on the model to obtain the wave loads and non-dimensional wave load coefficients for all discretised nodes, along the length of column from instantaneous free water surface to bottom of the column at mud level. The columns of same size and material properties but having different slenderness ratio are analysed by the developed numerical procedure for the simulated wave loads under various vertical thrust. This paper discusses the results obtained in detail and effect of slenderness in resisting wave loads under various vertical thrust.

Experimental and numerical study on large-curvature curved composite box girder under hogging moment

  • Zhu, Li;Wang, Jia J.;Zhao, Guan Y.;Huo, Xue J.;Li, Xuan
    • Steel and Composite Structures
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    • 제37권2호
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    • pp.117-136
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    • 2020
  • Curved steel-concrete composite box girder has been widely adopted in urban overpasses and ramp bridges. In order to investigate its mechanical behavior under complicated and combined bending, shear and torsion load, two large-curvature composite box girders with interior angles of 25° and 45° were tested under static hogging moment. Based on the strain and deflection measurement on critical cross-sections during the static loading test, the failure mode, cracking behavior, load-displacement relationship, and strain distribution in the steel plate and rebar were investigated in detail. The test result showed the large-curvature composite box girders exhibited notable shear lag in the concrete slab and steel girder. Also, the constraint torsion and distortion effect caused the stress measured at the inner side of the composite beam to be notably higher than that of the outer side. The strain distribution in the steel web was approximately linear; therefore, the assumption that the plane section remains plane was approximately validated based on strain measurement at steel web. Furthermore, the full-process non-linear elaborate finite element (FE) models of the two specimens were developed based on commercial FE software MSC.MARC. The modeling scheme and constitutive model were illustrated in detail. Based on the comparison between the FE model and test results, the FE model effectively simulated the failure mode, the load-displacement curve, and the strain development of longitudinal rebar and steel girder with sufficient accuracy. The comparison between the FE model and the test result validated the accuracy of the developed FE model.

A finite element analysis for unbonded flexible risers under bending loads

  • Xiqia, Chen;Shixiao, Fu;Yun, Gao;Xiaying, Du
    • Ocean Systems Engineering
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    • 제5권2호
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    • pp.77-89
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    • 2015
  • As the exploitation of oil and gas resources advances into deeper waters and harsher environments, the design and analysis of the flexible risers has become the research focus in the offshore engineering filed. Due to the complexity of the components and the sliding between the adjacent layers, the bending response of the flexible risers is highly non-linear. This paper presents the finite element analysis of the flexible risers under bending loads. The detailed finite element model of the flexible riser is established in ABAQUS software. This finite element model incorporates all the fine details of the riser to accurately predict its nonlinear structural behavior. Based on the finite element model, the bending moment-curvature relationships of a flexible riser under various axisymmetric loads have been investigated. The results have been compared with the analytical ones obtained from the literature and good agreements have been found. Moreover, the stress of the tendon armors has been studied. The non-linear relationship between the armor tendons' stress and the bending loads has been obtained.

재료비선형 전달행렬법에 의한 연속보의 해석 (An Analysis of Continuous Beam by Material Non-linear Transfer Matrix Method)

  • 서현수;김진섭;권민호
    • 한국구조물진단유지관리공학회 논문집
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    • 제15권1호
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    • pp.77-84
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    • 2011
  • 연속보를 대상으로 한 재료비선형 전달행렬법을 제시하였으며, Gauss-Lobatto 적분법을 사용하여 보의 강성행렬로부터 전달행렬을 도출한다. 전달행렬법에서는 유한요소해석법과는 달리 각 절점의 자유도 수에 상관없이 일정한 미지값만을 가지게 되므로 선형해석뿐만 아니라 비선형해석에서도 빠른 연산속도를 보인다. 연속보에 대한 비선형 해석의 적용 예를 통한 비교 결과, 재료비선형 전달행렬법이 변위-모멘트, 변위-하중, 곡률-모멘트의 관계에서 유한요소해석법에 비해 효율적인 것으로 평가되었다.

2차모멘트 난류모형을 이용한 정사각 단면 곡덕트 내 발달하는 난류유동 변화에 대한 고찰 (Investigation on the Developing Turbulent Flow In a Curved Duct of Square Cross-Section Using a Low Reynolds Number Second Moment Turbulence Closure)

  • 전건호;최영돈;신종근
    • 대한기계학회논문집B
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    • 제23권8호
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    • pp.1063-1071
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    • 1999
  • Fine grid calculations are reported for the developing turbulent flow in a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=Rc/D_H=3.357 $ and a bend angle of 720 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number algebraic second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.

Local buckling of reinforcing steel bars in RC members under compression forces

  • Minafo, Giovanni
    • Computers and Concrete
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    • 제22권6호
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    • pp.527-538
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    • 2018
  • Buckling of longitudinal bars is a brittle failure mechanism, often recorded in reinforced concrete (RC) structures after an earthquake. Studies in the literature highlights that it often occurs when steel is in the post elastic range, by inducing a modification of the engineered stress-strain law of steel in compression. A proper evaluation of this effect is of fundamental importance for correctly evaluating capacity and ductility of structures. Significant errors can be obtained in terms of ultimate bending moment and curvature ductility of an RC section if these effects are not accounted, as well as incorrect evaluations are achieved by non-linear static analyses. This paper presents a numerical investigation aiming to evaluate the engineered stress-strain law of reinforcing steel in compression, including second order effects. Non-linear FE analyses are performed under the assumption of local buckling. A role of key parameters is evaluated, making difference between steel with strain hardening or with perfectly plastic behaviour. Comparisons with experimental data available in the literature confirm the accuracy of the achieved results and make it possible to formulate recommendations for design purposes. Finally, comparisons are made with analytical formulations available in the literature and based on obtained results, a modification of the stress-strain law model of Dhakal and Maekawa (2002) is proposed for fitting the numerical predictions.

합성보의 부착슬립 효과를 고려한 유한요소 기반의 수치해석모델 (FE Based Numerical Model to Consider Bond-slip Effect in Composite Beams)

  • 곽효경;황진욱
    • 한국전산구조공학회논문집
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    • 제23권1호
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    • pp.95-110
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    • 2010
  • 본 논문에서는 합성보의 부착슬립 효과를 고려할 수 있는 유한요소 수치모델을 제안하고자 한다. 전단연결재가 설치된 슬래브와 거더 경계에서 선형 전단력-슬립 관계를 가정하여, 부착슬립 거동을 해석할 수 있는 수치모델이 구현되었다. 본 수치모델을 통하여 축 방향의 자유도를 부가하지 않고 2절점의 보 요소를 적용하여 합성보 경계에서의 슬립 거동을 고려하는 것이 가능하다. 선형 부분전단 연결이론을 토대로 한 슬립 거동의 지배방정식은 슬래브와 거더 경계에서 힘의 평형상태와 단면 내에서 상수로 가정된 곡률을 바탕으로 결정된다. 또한, 지배방정식 구성에 있어서 요소 양 절점에서의 휨 모멘트 값을 필요로 하기 때문에 유한요소 해석으로 도출되는 상수 모멘트를 요소 내에서 선형으로 분포시켰다. 제안된 수치모델을 적용한 해석결과를 기존 연구의 수치해석 결과 및 실험결과와 비교하였으며, 하중-처짐 곡선의 비교를 통하여 본 모델의 성능을 검증하였다.

정사각 직관과 $180^{\circ}$ 곡관내 난류유동의 레이놀즈응력모형 적용 (Turbulent Flow through a Square Straight and Curved Duct with Reynolds Stress Models)

  • 전건호;최영돈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집B
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    • pp.771-776
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    • 2000
  • Fine grid calculations are reported for the developing turbulent flow in a straight duct and a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=R_c/H_H=3.357$ and a bend angle of 180 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.

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