• 제목/요약/키워드: nonlinear flexural model

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CFRP판으로 보강된 RC 보의 구조거동 해석모델 개발 (Development of the Nonlinear Analysis Model on Flexural Behavior of Reinforced Concrete Beams Strengthened with Prestressed Carbon Fiber-Reinforced Polymer Plates)

  • 우상균;남진원;김장호;변근주
    • 한국구조물진단유지관리공학회 논문집
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    • 제12권4호
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    • pp.87-97
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    • 2008
  • 본 연구의 목적은 CFRP판을 다양한 방법으로 보강한 RC보의 휨거동을 실험적으로 비교 분석하고, 프리스트레싱을 도입하여 보강된 콘크리트 구조물의 성능개선 효과와 구조거동을 예측할 수 있는 해석모델을 개발하는 것이다. 이를 위하여 프리스트레싱이 도입된 CFRP판의 부착 및 휨거동 특성을 분석하고, CFRP 및 Epoxy 수지의 거동특성을 규명하였다. 또한 CFRP판의 보강방법과 프리스트레싱 수준 등을 실험변수로 설정하여 콘크리트 보의 휨실험을 수행하고, 개발된 해석모델의 결과와 비교 검증하였다. 연구결과 본 해석기법은 충분한 신뢰도를 가지고 있으므로 CFRP를 사용한 보강설계에 효과적으로 적용이 가능하다고 판단된다.

반복하중을 받는 철근콘크리트 휨부재의 비선형해석 (Nonlinear Analysis of Reinforced Concrete Flexural Members under Cyclic Loading)

  • 변근주;김영진
    • 콘크리트학회지
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    • 제3권3호
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    • pp.149-157
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    • 1991
  • 본 논문은 반복하중을 받는 철근콘크리트 휨부재를 비선형해석하기 위한 것으로서, 재료의 구성방정식도출, 비선형 프로그램의 개발 및 개발된 프로그램의 검증으로 구성되어 있다. 재료의 구성방정식도출에서 콘크리트는 직교이방성재료로 모형화하고, 철근은 탄소성모형으로 취하였다. 반복하중하에서 휨부재의 압축부 콘크리트에 이력거동과 강성감소, 인장부 콘크리트에는 균열개폐거동과 균열변형률의 개념을 도입하여 콘크리트의 구성방정식을 도출하였다. 반북하중을 받는 철근콘크리트 휨부재를 해석하기 위하여 4절점등매개요소와 트러스요소의 유한요소정식과 증분반복기법을 적용한 유한요소프로그램을 도출하고, 반복하중을 받는 과소 철근콘크리트 보에 대한 실험결과와 해석결과를 비교하여 개발된 재료모형과 해석프로그램의 타당성을 검증하였다.

A tension stiffening model for analysis of RC flexural members under service load

  • Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Computers and Concrete
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    • 제17권1호
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    • pp.29-51
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    • 2016
  • Tension-stiffening is the contribution of concrete between the cracks to carry tensile stresses after cracking in Reinforced Concrete (RC) members. In this paper, a tension-stiffening model has been proposed for computationally efficient nonlinear analysis of RC flexural members subjected to service load. The proposed model has been embedded in a typical cracked span length beam element. The element is visualized to consist of at the most five zones (cracked or uncracked). Closed form expressions for flexibility and stiffness coefficients and end displacements have been obtained for the cracked span length beam element. Further, for use in everyday design, a hybrid analytical-numerical procedure has been developed for nonlinear analysis of RC flexural members using the proposed tension-stiffening model. The procedure yields deflections as well as redistributed bending moments. The proposed model (and developed procedure) has been validated by the comparison with experimental results reported elsewhere and also by comparison with the Finite Element Method (FEM) results. The procedure would lead to drastic reduction in computational time in case of large RC structures.

Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads

  • Abderezak, Rabahi;Daouadji, Tahar Hassaine;Rabia, Benferhat;Belkacem, Adim
    • Earthquakes and Structures
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    • 제15권2호
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    • pp.113-122
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    • 2018
  • This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

Strengthening of prestressed girder-deck system with partially debonding strand by the use of CFRP or steel plates: Analytical investigation

  • Haoran Ni;Riliang Li;Riyad S. Aboutaha
    • Computers and Concrete
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    • 제31권4호
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    • pp.349-358
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    • 2023
  • This paper describes an in-depth analysis on flexural strength of a girder-deck system experiencing a strand debonding damage with various strengthening systems, based on finite element software ABAQUS. A detailed finite element analysis (FEA) model was developed and verified against the relevant experimental data performed by other researchers. The proposed analytical model showed a good agreement with experimental data. Based on the verified FE model, over a hundred girder-deck systems were investigated with the consideration of following variables: 1) debonding level, 2) span-to-depth ratio (L/d), 3) strengthening type, 4) strengthening material thickness. Based on the data above, a new detailed analytical model was developed and proposed for estimating residual flexural strength of the strand-debonding damaged girder-deck system with strengthening systems. It was demonstrated that both finite element model and analysis model could be used to predict flexural behaviors for debonding damaged prestressed girder-deck systems. Since the strands are debonding from surrounding concrete over a certain zone over the length of the beam, the increase of strain in strands can be linked with a ratio ψ, which is Lp/c. The analytical model was proposed and developed regarding the ratio ψ. By conducting procedure of calculating ψ, the ψ value varies from 9.3 to 70.1. Multiple nonlinear regression analysis was performed in Software IBM SPSS Statistics 27.0.1 to derive equation of ψ. ψ equation was curved to be an exponential function, and the independent variable (X) is a linear function in terms of three variables of debonding level (λ), span length (L), and amount of strengthening material (As). The coefficient of determinate (R2) for curve fitting in nonlinear regression analysis is 0.8768. The developed analytical model was compared to the ultimate capacities computed by FEA model.

Seismic response simulations of bridges considering shear-flexural interaction of columns

  • Zhang, Jian;Xu, Shi-Yu
    • Structural Engineering and Mechanics
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    • 제31권5호
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    • pp.545-566
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    • 2009
  • Bridge columns are subjected to combined actions of axial force, shear force and bending moment during earthquakes, caused by spatially-complex earthquake motions, features of structural configurations and the interaction between input and response characteristics. Combined actions can have significant effects on the force and deformation capacity of RC columns, resulting in unexpected large deformations and extensive damage that in turn influences the performance of bridges as vital components of transportation systems. This paper evaluates the seismic response of three prototype reinforced concrete bridges using comprehensive numerical models that are capable of simulating the complex soil-structural interaction effects and nonlinear behavior of columns. An analytical approach that can capture the shear-flexural interacting behavior is developed to model the realistic nonlinear behavior of RC columns, including the pinching behavior, strength deterioration and stiffness softening due to combined actions of shear force, axial force and bending moment. Seismic response analyses were conducted on the prototype bridges under suites of ground motions. Response quantities of bridges (e.g., drift, acceleration, section force and section moment etc.) are compared and evaluated to identify the effects of vertical motion, structural characteristics and the shear-flexural interaction on seismic demand of bridges.

Nonlinear FE modelling and parametric study on flexural performance of ECC beams

  • Kh, Hind M.;Ozakca, Mustafa;Ekmekyapar, Talha
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.21-31
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    • 2017
  • Engineered Cementitious Composite (ECC) is a special class of the new generation of high performance fiber reinforced cementitious composites (HPFRCC) featuring high ductility with relatively low fiber content. In this research, the mechanical performance of ECC beams will be investigated with respect to the effect of slag and aggregate size and amount, by employing nonlinear finite element method. The validity of the models was verified with the experimental results of the ECC beams under monotonic loading. Based on the numerical analysis method, nonlinear parametric study was then conducted to evaluate the influence of the ECC aggregate content (AC), ECC compressive strength ($f_{ECC}$), maximum aggregate size ($D_{max}$) and slag amount (${\phi}$) parameters on the flexural stress, deflection, load and strain of ECC beams. The simulation results indicated that when increase the slag and aggregate size and content no definite trend in flexural strength is observed and the ductility of ECC is negatively influenced by the increase of slag and aggregate size and content. Also, the ECC beams revealed enhancement in terms of flexural stress, strain, and midspan deflection when compared with the reference beam (microsilica MSC), where, the average improvement percentage of the specimens were 61.55%, 725%, and 879%, respectively. These results are quite similar to that of the experimental results, which provides that the finite element model is in accordance with the desirable flexural behaviour of the ECC beams. Furthermore, the proposed models can be used to predict the flexural behaviour of ECC beams with great accuracy.

Analytical Modeling for Two-story Two-span Reinforced Concrete Frames with Relaxed Section Details

  • Kim, Taewan;Chu, Yurim;Park, Hong-Gun
    • Architectural research
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    • 제20권2호
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    • pp.53-64
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    • 2018
  • A nonlinear analytical model has been proposed for two-span two-story reinforced concrete frames with relaxed section details. The analytical model is composed of beam, column, and beam-column joint elements. The goal of this study is to develop a simple and light nonlinear model for two-dimensional reinforced concrete frames since research in earthquake engineering is usually involved in a large number of nonlinear dynamic analyses. Therefore, all the nonlinear behaviors are modeled to be concentrated on flexural plastic hinges at the end of beams and columns, and the center of beam-column joints. The envelope curve and hysteretic rule of the nonlinear model for each element are determined based on experimental results, not theoretical approach. The simple and light proposed model can simulate the experimental results well enough for nonlinear analyses in earthquake engineering. Consequently, the proposed model will make it easy to developing a nonlinear model of the entire frame and help to save time to operate nonlinear analyses.

변형율속도를 고려한 반복하중을 받는 철근콘크리트 부재의 동적 비선형 해석모델 (Dynamic Nonlinear Analysis Model for Reinforced Concrete Elements considering Strain Rate Effects under Repeated Loads)

  • 심종성;문일환
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1990년도 봄 학술발표회 논문집
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    • pp.78-83
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    • 1990
  • The current analytical techniques for R/C elements under severe dynamic repeated loads, like earthquake or impact, has two major problems; one is that the effects of strain rate are not considered and the other one is the current model was developed based on flexural behavior only. Thus, this study develops a computer software that can idealize the flexural and shear behavior of R/C elements using several parameters and also can consider the effects of strain rate. The analytical results using the developed analytical technique were compared with several experimental results and were generally satisfied.

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Prediction of chloride diffusion coefficient of concrete under flexural cyclic load

  • Tran, Van Mien;Stitmannaithum, Boonchai;Nawa, Toyoharu
    • Computers and Concrete
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    • 제8권3호
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    • pp.343-355
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    • 2011
  • This paper presented the model to predict the chloride diffusion coefficient in tension zone of plain concrete under flexural cyclic load. The fictitious crack based analytical model was used together with the stress degradation law in cracked zone to predict crack growth of plain concrete beams under flexural cyclic load. Then, under cyclic load, the chloride diffusion, in the steady state and one dimensional regime, through the tension zone of the plain concrete beam, in which microcracks were formed by a large number of cycles, was simulated with assumptions of continuously straight crack and uniform-size crack. The numerical analysis in terms of the chloride diffusion coefficient, $D_{tot}$, normalized $D_{tot}$, crack width and crack length was issued as a function of the load cycle, N, and load level, SR. The nonlinear model as regarding with the chloride diffusion coefficient in tension zone and the load level was proposed. According to this model, the chloride diffusion increases with increasing load level. The predictions using model fit well with experimental data when we adopted suitable crack density and tortuosity parameter.