• 제목/요약/키워드: Moment-Curvature Relationship

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철근콘크리트 골조의 연성화 해석 (Softening Analysis of Reinforced Concrete Frames)

  • 나유성;홍성걸
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 가을 학술발표논문집(II)
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    • pp.438-443
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    • 1998
  • Softening os the name used for decreasing bending moment at advanced flexural deformation. To accommodate softening deformation in analysis, it is assumed that a hinge has finite length. The softening analysis of R/C frames relies on the primary assumption that softening occurs over a finite hinge length and that the moment-curvature relationship for any section may be closely described by a trilinear approximation. A stiffness matrix for elastic element with softening regions are derived and the stiffness matrix allows extension of the capability of an existing computer program for elastic-plastic analysis to the softening situation. The effect of softening on the collapse load of R/C frame is evaluated.

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A parametric study on seismic fragility analysis of RC buildings

  • Nagashree, B.K.;Ravi, Kumar C.M.;Venkat, Reddy D.
    • Earthquakes and Structures
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    • 제10권3호
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    • pp.629-643
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    • 2016
  • Among all the natural disasters, earthquakes are the most destructive calamities since they cause a plenty of injuries and economic losses leaving behind a series of signs of panic. The present study highlights the moment-curvature relationships for the structural elements such as beam and column elements and Non-Linear Static Pushover Analysis of RC frame structures since it is a very simplified procedure of non-linear static analysis. The highly popular model namely Mander's model and Kent and Park model are considered and then, seismic risk evaluation of RC building has been conducted using SAP 2000 version 17 treating uncertainty in strength as a parameter. From the obtained capacity and demand curves, the performance level of the structure has been defined. The seismic fragility curves were developed for the variations in the material strength and damage state threshold are calculated. Also the comparison of experimental and analytical results has been conducted.

편심압축이 작용하는 HCFT기둥에 대한 내력특성과 모멘트-곡률의 곤계 (Strength and Moment-Curvature Relationship of HCFT Columns under Eccentric Load)

  • 이승조;박정민;김화중
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.864-873
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    • 2002
  • 현재의 CFT기둥 구조에 대한 연구는 대부분 강재측 측면에서 접근한 연구와 강관 내부에 충전되는 콘크리트의 충전성 등과 같은 시공적 측면에 대한 연구성과가 주류로 되고 있으며, 콘크리트 측면에서의 연구는 미흡한 실정이다. 이것에 대한 연구를 중심으로 HCFT 기둥이 축력아래에서 단주가 동일한 휨-모멘트를 받을 때의 변형성능(M-ø)에 대하여 해석적으로 수치적인 값을 검토하였다. 그리고, 기본적인 가정을 바탕으로 실험에서 얻은 CFT 단면의 변형성능의 해석에 대하여 모멘트-축력-곡률관계의 해석 프로그램의 개발(C-Language)을 실시하였다. 따라서, 본 연구에서는 폭-두께비(D/t), 세장비(λ), 콘크리트의 종류를 주요변수로 하여 편심하중 아래에서의 강도 600kgf/$\textrm{cm}^2$를 충전한 HCFT 기둥에 대한 내력 및 곡률과 같은 구조적 특성을 고찰하였으며, AISC-LRFD, AIJ, Tokanori Sato의 식을 이용한 내력설계식의 비교분석을 실시하였다. 본 연구에서 검토한 내력 및 곡률은 향후 HCFT 기둥에 대한 내력설계식의 제안 및 해석에 유용하게 적용될 수 있을 것으로 사료된다.

고강도콘크리트 구조부재의 변위해석시스템 개발연구 (The Development of Displacement Analysis System in High Strength Concrete Members)

  • 장일영
    • 전산구조공학
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    • 제8권2호
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    • pp.115-121
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    • 1995
  • 고강도콘크리트(압축강도 400-700kgf/cm/sup 2)를 이용한 구조물의 강도성능과 휨변형을 정확히 구하는 해석방법을 제안하는 것이 본 연구의 목적으로서, 재료특성을 모델화하기 위하여 희귀분석을 이용한 고강도콘크리트의 응력-변형률관계와 사다리꼴 응력모델을 검토하여 그 적용성을 확인하였다. 내력과 변형의 해석방법으로서는 단면을 요소분할하여 재료의 응력-변형률관계를 이용한 모멘트-곡률관계의 해석을 이용하였다. 여기서 본 연구는 재료특성의 불확정 변수와 해석시의 반복계산에 의한 오차를 최소화하기 위하여 확률적 개념을 이용한 몬테카를로 시뮬레이션의 방법을 도입하여 내력 및 변위성능을 합리적으로 평가하였다.

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Steel fibre reinforced concrete for elements failing in bending and in shear

  • Barros, Joaquim A.O.;Lourenco, Lucio A.P.;Soltanzadeh, Fatemeh;Taheri, Mahsa
    • Advances in concrete construction
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    • 제1권1호
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    • pp.1-27
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    • 2013
  • Discrete steel fibres can increase significantly the bending and the shear resistance of concrete structural elements when Steel Fibre Reinforced Concrete (SFRC) is designed in such a way that fibre reinforcing mechanisms are optimized. To assess the fibre reinforcement effectiveness in shallow structural elements failing in bending and in shear, experimental and numerical research were performed. Uniaxial compression and bending tests were executed to derive the constitutive laws of the developed SFRC. Using a cross-section layered model and the material constitutive laws, the deformational behaviour of structural elements failing in bending was predicted from the moment-curvature relationship of the representative cross sections. To evaluate the influence of the percentage of fibres on the shear resistance of shallow structures, three point bending tests with shallow beams were performed. The applicability of the formulation proposed by RILEM TC 162-TDF for the prediction of the shear resistance of SFRC elements was evaluated. Inverse analysis was adopted to determine indirectly the values of the fracture mode I parameters of the developed SFRC. With these values, and using a softening diagram for modelling the crack shear softening behaviour, the response of the SFRC beams failing in shear was predicted.

Wavelet analysis and enhanced damage indicators

  • Lakshmanan, N.;Raghuprasad, B.K.;Muthumani, K.;Gopalakrishnan, N.;Basu, D.
    • Smart Structures and Systems
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    • 제3권1호
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    • pp.23-49
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    • 2007
  • Wavelet transforms are the emerging signal-processing tools for damage identification and time-frequency localization. A small perturbation in a static or dynamic displacement profile could be captured using multi-resolution technique of wavelet analysis. The paper presents the wavelet analysis of damaged linear structural elements using DB4 or BIOR6.8 family of wavelets. Starting with a localized reduction of EI at the mid-span of a simply supported beam, damage modeling is done for a typical steel and reinforced concrete beam element. Rotation and curvature mode shapes are found to be the improved indicators of damage and when these are coupled with wavelet analysis, a clear picture of damage singularity emerges. In the steel beam, the damage is modeled as a rotational spring and for an RC section, moment curvature relationship is used to compute the effective EI. Wavelet analysis is performed for these damage models for displacement, rotation and curvature mode shapes as well as static deformation profiles. It is shown that all the damage indicators like displacement, slope and curvature are magnified under higher modes. A localization scheme with arbitrary location of curvature nodes within a pseudo span is developed for steady state dynamic loads, such that curvature response and damages are maximized and the scheme is numerically tested and proved.

Viscoplastic response and collapse of 316L stainless steel tubes under cyclic bending

  • Chang, Kao-Hua;Hsu, Chien-Min;Sheu, Shane-Rong;Pan, Wen-Fung
    • Steel and Composite Structures
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    • 제5권5호
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    • pp.359-374
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    • 2005
  • This paper presents the experimental and theoretical results of the viscoplastic response and collapse of 316L stainless steel tubes subjected to cyclic bending. The tube bending machine and curvature-ovalization measurement apparatus, which was designed by Pan et al. (1998), were used for conducting the cyclic curvature-controlled experiment. Three different curvature-rates were controlled to highlight the characteristic of viscoplastic response and collapse. Next, the endochronic theory and the principle of virtual work were used to simulate the viscoplastic response of 316L stainless steel tubes under cyclic bending. In addition, a proposed theoretical formulation (Lee and Pan 2001) was used to simulate the relationship between the controlled cyclic curvature and the number of cycles to produce buckling under cyclic bending at different curvature-rates (viscoplastic collapse). It has been shown that the theoretical simulations of the response and collapse correlate well with the experimental data.

경량압전 복합재료 작동기의 작동범위를 이용한 총유효 모멘트 (ME)의 예측 (Prediction of the Total Effective Moment (ME) Using Stroke Range in Lightweight Piezoelectric Composite Actuator(LIPCA))

  • 윤광준;김철웅
    • 대한기계학회논문집A
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    • 제30권2호
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    • pp.120-127
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    • 2006
  • The fatigue behavior of LIPCA was so sensitive to the manufacturing condition, the environmental factors and the change of the test apparatus. Therefore, we could be considering not only the relationship between the stroke range $({\Delta}h)$ and actuating frequency but also the relationship between the stroke range $({\Delta}h)$ and the total effective moment $(M^E)$. Thus, this study proposed the calculation method of the applying $M^E$ when the $({\Delta}h)$ of LIPCA was increased from 1.mm to 20mm. To estimate the relationship between the total effective moment $(M^E)$ and the Bernoulli-Euler bending moment (M) was reviewed. And the residual stress distribution of LIPCA and THUNDER using the CLT was evaluated. In conclusions, converting the $({\Delta}h)$ of LIPCA to the radius of curvature (p) and calculating the $(M^E)$, it was found that the p by the $M^E$ changed similarly as the $({\Delta}h)$. It was found that the $M^E$ was 2.2 times as the M. While CFRP and PZT of LIPCA, which had the superior compressive characteristic, had the compressive residual stress, GFRP was subject to the tensile residual stress. Since this reversed configuration between the compressive residuals stress and the tensile one was made, the requirement of the stroke range $({\Delta}h)$ increase was satisfied.

인장연화거동을 고려한 강섬유 보강 초고성능 콘크리트 보의 모멘트-곡률 해석 (Moment-Curvature Analysis of Steel Fiber-Reinforced Ultra High Performance Concrete Beams with Tension Softening Behavior)

  • 양인환;조창빈;김병석
    • 한국전산구조공학회논문집
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    • 제24권3호
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    • pp.237-248
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    • 2011
  • 강섬유 보강 콘크리트의 인장연화특성은 구조적 거동에 매우 중요한 역할을 하며, 강섬유 보강 초고성능 콘크리트의 우수한 구조성능을 파악하기 위해서는 인장연화거동의 정밀모델링 및 이를 반영한 수치해석 기법이 필요하다. 따라서, 이 논문에서는 강섬유로 보강된 콘크리트의 부재의 인장연화거동 특성을 고려한 휨 거동을 예측하기 위한 수치해석 기법을 제시하였다. 강섬유 보강 콘크리트의 하중-균열개구변위 실험결과를 반영하여 가상균열모델에 근거한 균열방정식과 역해석 기법에 의해 인장연화모델링을 수행하였다. 또한, 인장연화거동을 반영한 재료모델링을 수행하였다. 제시기법에 의한 초고성능 콘크리트 보의 모멘트-곡률 수치해석 결과를 실험결과와 비교 분석하였으며, 수치해석 결과와 실험결과는 비교적 잘 일치하고 있다. 제안기법에 의해 강섬유 보강 초고강도 콘크리트 보의 휨강도를 정확하게 예측할 수 있다고 판단된다.

플로팅 함체의 강성변화에 따른 철골모멘트연성골조의 응답 특성 (Response Characteristics of the Steel Moment Resisting Frame According to the Stiffness Variation of Pontoo)

  • 이영욱;박정아;채지용;최지훈
    • 한국항해항만학회지
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    • 제36권3호
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    • pp.215-223
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    • 2012
  • 플로팅 함체의 강성변화가 상부 철골모멘트연성골조에 미치는 영향을 확인하기 위해 함체의 높이를 1.5m, 2.0m, 2.5m로 변화시키면서 파랑하중 3초에서 15초에 대하여 동적 유체 해석과 그에 따른 파력을 산정하고 정적 구조 해석을 수행하였다. 해석결과, RAO-피치와 상부 골조의 모멘트 증가량이 선형적인 관계이고 함체의 곡률이 구조물의 강성과 반비례함을 확인하였다. 이러한 선형적 결과를 종합하여, 임의의 함체에 대한 상부골조의 해석 결과를 이용하여 함체 높이가 다른 경우에도 상부 골조의 모멘트를 추정하는 절차를 제안하였으며, 추정결과가 해석결과와 상당히 잘 일치함을 확인하였다.