• 제목/요약/키워드: secant stiffness

검색결과 62건 처리시간 0.022초

Finite element modeling of reinforced and prestressed concrete panels under far-field blast loads using a smeared crack approach

  • Andac Lulec;Vahid Sadeghian;Frank J. Vecchio
    • Computers and Concrete
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    • 제33권6호
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    • pp.725-738
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    • 2024
  • This study presents a macro-modeling procedure for nonlinear finite element analysis of reinforced and prestressed concrete panels under blast loading. The analysis procedure treats cracked concrete as an orthotropic material based on a smeared rotating crack model within the context of total-load secant stiffness-based formulation. A direct time integration method compatible with the analysis formulation is adapted to solve the dynamic equation of motion. Considerations are made to account for strain rate effects. The analysis procedure is verified by modeling 14 blast tests from various sources reported in the literature including a blast simulation contest. The analysis results are compared against those obtained from experiments, simplified single-degree-of-freedom (SDOF) methods, and sophisticated hydrocodes. It is demonstrated that the smeared crack macro-modeling approach is a viable alternative analysis procedure that gives more information about the structural behavior than SDOF methods, but does not require detailed micro-modeling and extensive material characterization typically needed with hydrocodes.

Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar

  • Torres, Lluis;Barris, Cristina;Kaklauskas, Gintaris;Gribniak, Viktor
    • Structural Engineering and Mechanics
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    • 제53권5호
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    • pp.997-1016
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    • 2015
  • The contribution of tensioned concrete between cracks (tension-stiffening) cannot be ignored when analysing deformation of reinforced concrete elements. The tension-stiffening effect is crucial when it comes to adequately estimating the load-deformation response of steel reinforced concrete and the more recently appeared fibre reinforced polymer (FRP) reinforced concrete. This paper presents a unified methodology for numerical modelling of the tension-stiffening effect in steel as well as FRP reinforced flexural members using the concept of equivalent deformation modulus and the smeared crack approach to obtain a modified stress-strain relation of the reinforcement. A closed-form solution for the equivalent secant modulus of deformation of the tensioned reinforcement is proposed for rectangular sections taking the Eurocode 2 curvature prediction technique as the reference. Using equations based on general principles of structural mechanics, the main influencing parameters are obtained. It is found that the ratio between the equivalent stiffness and the initial stiffness basically depends on the product of the modular ratio and reinforcement ratio ($n{\rho}$), the effective-to-total depth ratio (d/h), and the level of loading. The proposed methodology is adequate for numerical modelling of tension-stiffening for different FRP and steel reinforcement, under both service and ultimate conditions. Comparison of the predicted and experimental data obtained by the authors indicates that the proposed methodology is capable to adequately model the tension-stiffening effect in beams reinforced with FRP or steel bars within wide range of loading.

직접변위기반설계법에 의한 철근콘크리트 기둥의 FRP 피복보강 내진성능설계법의 개발 (Development of Performance-Based Seismic Design of RC Column Retrofitted By FRP Jacket using Direct Displacement-Based Design)

  • 조창근
    • 한국지진공학회논문집
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    • 제11권2호
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    • pp.105-113
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    • 2007
  • 본 연구에서는, 기존 철근 콘크리트 구조물에 적용된 직접 변위-기반 설계법을 적용 FRP 피복 보강된 성능개선 콘크리트 부재에 대한 정밀 비선형 휨 해석 및 내진성능설계의 구체적 알고리즘을 제시하였다. 비선형 휨 해석의 정밀 예측을 위하여 콘크리트 및 FRP 복합재료의 다축 구성관계를 고려하였으며, Chopra 등 (1999)이 제안한 직접 변위-기반 설계법(DDM)을 개선하여 철근콘크리트 기둥에 대한 성능개선을 위한 FRP 피복 보강을 위한 성능설계 알고리즘을 제시하였다. 제시된 직접 변위-기반 설계법은, 변위계수법과 비교하여, 비선형 거동이 큰 경우에도 목표 변위 성능 값에 대한 정확한 추정을 해준다. 이는 변위계수법이 항복 이전의 유효탄성계수를 사용하는 반면, 직접 변위-기반 설계법은 유효탄할선탄성계수를 고려하고 있어, 목표 변위에 따른 성능설계 평가에 있어서 보다 높은 연성비의 거동을 반영하고 있기 때문인 것으로 평가된다.

Saw-tooth softening/stiffening - a stable computational procedure for RC structures

  • Rots, Jan G.;Invernizzi, Stefano;Belletti, Beatrice
    • Computers and Concrete
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    • 제3권4호
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    • pp.213-233
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    • 2006
  • Over the past years techniques for non-linear analysis have been enhanced significantly via improved solution procedures, extended finite element techniques and increased robustness of constitutive models. Nevertheless, problems remain, especially for real world structures of softening materials like concrete. The softening gives negative stiffness and risk of bifurcations due to multiple cracks that compete to survive. Incremental-iterative techniques have difficulties in selecting and handling the local peaks and snap-backs. In this contribution, an alternative method is proposed. The softening diagram of negative slope is replaced by a saw-tooth diagram of positive slopes. The incremental-iterative Newton method is replaced by a series of linear analyses using a special scaling technique with subsequent stiffness/strength reduction per critical element. It is shown that this event-by-event strategy is robust and reliable. First, the model is shown to be objective with respect to mesh refinement. Next, the example of a large-scale dog-bone specimen in direct tension is analyzed using an isotropic version of the saw-tooth model. The model is capable of automatically providing the snap-back response. Subsequently, the saw-tooth model is extended to include anisotropy for fixed crack directions to accommodate both tensile cracking and compression strut action for reinforced concrete. Three different reinforced concrete structures are analyzed, a tension-pull specimen, a slender beam and a slab. In all cases, the model naturally provides the local peaks and snap-backs associated with the subsequent development of primary cracks starting from the rebar. The secant saw-tooth stiffness is always positive and the analysis always 'converges'. Bifurcations are prevented due to the scaling technique.

An experimental study of the behaviour of double sided bolted billet connections in precast concrete frames

  • Gorgun, Halil
    • Steel and Composite Structures
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    • 제29권5호
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    • pp.603-622
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    • 2018
  • Precast concrete structures are erected from individual prefabricated components, which are assembled on-site using different types of connections. In the present design of these structures, beam-to-column connections are assumed pin jointed. Bolted billet beam to-column connections have been used in the precast concrete industry for many years. They have many advantages over other jointing methods in component production, quality control, transportation and assembly. However, there is currently limited information concerning their detailed structural behaviour under vertical loadings. The experimental work has involved the determination of moment-relative rotation relationships for semi-rigid precast concrete connections in full-scale connection tests. The study reported in this paper was undertaken to clarify the behaviour of such connections under symmetrical vertical loadings. A series of full-scale tests was performed on sample column for which the column geometry and bolt arrangements conformed to successful commercial practice. Proprietary hollow core floor slabs were tied to the beams by 2T25 tensile reinforcing bars, which also provide the in-plane continuity across the connections. The contribution of the floor strength and stiffness to the flexural capacity of the joint is currently neglected in the design process for precast concrete frames. The flexural strength of the connections in the double-sided tests was at least 0.93 times the predicted moment of resistance of the composite beam and slab. The secant stiffness of the connections ranged from 0.94 to 1.94 times the flexural stiffness of the attached beam. In general, the double-sided connections were found to be more suited to a semi-rigid design approach than the single sided ones. The behaviour of double sided bolted billet connection test results are presented in this paper. The behaviour of single sided bolted billet connection test results is the subject of another paper.

Seismic behavior of circular-in-square concrete-filled high-strength double skin steel tubular stub columns with out-of-code B/t ratios

  • Jian-Tao Wang;Yue Wei;Juan Wang;Yu-Wei Li;Qing Sun
    • Steel and Composite Structures
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    • 제49권4호
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    • pp.441-456
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    • 2023
  • Aiming at the development trend of light weight and high strength of engineering structures, this paper experimentally investigated the seismic performance of circular-in-square high-strength concrete-filled double skin steel tubular (HCFDST) stub columns with out-of-code width-to-thickness (B/t) ratios. Typical failure mode of HCFDST stub columns appeared with the infill material crushing, steel fracture and local buckling of outer tubes as well as the inner buckling of inner tubes. Subsequently, the detailed analysis on hysteretic curves, skeleton curves and ductility, energy dissipation, stiffness degradation and lateral force reduction was conducted to reflect the influences of hollow ratios, axial compression ratios and infill types, e.g., increasing hollow ratio from 0.54 to 0.68 and 0.82 made a slight effect on bearing capacity compared to the ductility coefficients; the higher axial compression ratio (e.g., 0.3 versus 0.1) significantly reduced the average bearing capacity and ductility; the HCFDST column SCFST-6 filled with concrete obviously displayed the larger initial secant stiffness with a percentage 34.20% than the column SCFST-2 using engineered cementitious composite (ECC); increasing hollow ratios, axial compression ratios could accelerate the drop speed of stiffness degradation. The out-of-code HCFDST stub columns with reasonable design could behave favorable hysteretic performance. A theoretical model considering the tensile strength effect of ECC was thereafter established and verified to predict the moment-resisting capacity of HCFDST columns using ECC. The reported research on circular-in-square HCFDST stub columns can provide significant references to the structural application and design.

세립분 함유량에 따른 동결 사질토의 응력-변형률-강도 특성 (Stress-Strain-Strength Characteristics of Frozen Sands with Various Fine Contents)

  • 채덕호;황범식;조완제
    • 한국지반환경공학회 논문집
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    • 제16권6호
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    • pp.31-38
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    • 2015
  • 최근 우리나라는 러시아 극동 지역의 천연파이프 건설과 제2남극기지인 장보고 기지건설이 이루어지면서 영구동토지반에서의 구조물 건설에 대한 관심이 증대되고 있다. 세립분 함유량이 동결된 사질토의 역학적 거동에 미치는 영향을 파악하기 위하여 온도 -5, -10, $-15^{\circ}C$의 조건에서 세립분 함유량 0, 5, 10, 15%의 시료에 대해 일축압축시험을 수행하였다. 동결 사질토를 성형하기 위해 입도가 균일한(SP) 주문진 표준사와 소성성이 낮은 실트(ML)인 카올리나이트를 사용하였다. 성형된 동결 사질토를 사용하여 온도를 제어할 수 있는 냉동 체임버에서 일축압축실험을 수행하였고 강도 및 강성특성을 파악하기 위해 최대 일축압축강도와 변형계수를 분석하였다. 그 결과 동결 사질토의 강도 및 강성은 세립분 함유량이 증가할수록 감소하는 경향을 보이고 온도가 낮아짐에 따라 증가하는 경향을 보였다.

박판 냉간성형형강 골조의 접합부 거동에 관한 실험적 연구 (An Experimental Study on the Behavior of Connections of Thin-Walled Cold-Formed Steel Section Frames)

  • 권영봉;조종수;송준엽;김갑득
    • 한국강구조학회 논문집
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    • 제15권3호
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    • pp.281-290
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    • 2003
  • 신형상 폐단면 냉간성형형강 스터드와 래프터로 구성된 포탈프레임의 접합부의 모멘트-회전각 관계, 회전강성, 항복모멘트 및 극한모멘트 등을 파악하기 위하여 접합부실험을 수행하였다. 실험의 주요 변수는 연강 접합철물의 두께 및 형상과 접합부 시험체의 비틀림에 관한 구속조건이며, 실험결과의 검증을 위해서 비선형해석 결과와 비교하였다. 반강접 접합부의 휨강성을 실험에 의한 모멘트-회전각 곡선으로 부터 구한 할선강도로 제안하여 구조해석을 통하여 타당성을 검토하였다.

마찰감쇠기-가새 시스템의 확률분포 기반 등가선형화에 관한 실험적 연구 (Experimental Study on the Probability-based Equivalent Linearization of a Friction Damper-Brace System)

  • 강경수;박지훈
    • 한국소음진동공학회논문집
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    • 제16권4호
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    • pp.394-403
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    • 2006
  • A new equivalent linearization technique is proposed for a friction damper-brace system (FDBS) idealized as a elastoplastic system. The equivalent linearization technique utilizes secant stiffness and dissipated energy defined by the probability distribution of the extremal displacement of the FDBS. In addition, a conversion scheme is proposed so that an equivalent linear system is designed first and converted to the FDBS. For comparative study, an existing model update technique based on system identification is modified in a form appropriate to update single element. For the purpose of verification, shaking table tests of a small scale three-story shear building model, in which a rotational FDBS is installed, are conducted and equivalent linear systems are obtained using the proposed technique and the model update technique. Complex eigenvalue analysis is conducted for those equivalent linear systems, and the natural frequencies and modal damping ratios are compared with those obtained from system identification. Additionally, RMS and peak responses obtained from time history analysis of the equivalent linear systems are compared with measured ones.

Cyclic performance of RC beam-column joints enhanced with superelastic SMA rebars

  • Ghasemitabar, Amirhosein;Rahmdel, Javad Mokari;Shafei, Erfan
    • Computers and Concrete
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    • 제25권4호
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    • pp.293-302
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    • 2020
  • Connections play a significant role in strength of structures against earthquake-induced loads. According to the post-seismic reports, connection failure is a cause of overall failure in reinforced concrete (RC) structures. Connection failure results in a sudden increase in inter-story drift, followed by early and progressive failure across the entire structure. This article investigated the cyclic performance and behavioral improvement of shape-memory alloy-based connections (SMA-based connections). The novelty of the present work is focused on the effect of shape memory alloy bars is damage reduction, strain recoverability, and cracking distribution of the stated material in RC moment frames under seismic loads using 3D nonlinear static analyses. The present numerical study was verified using two experimental connections. Then, the performance of connections was studied using 14 models with different reinforcement details on a scale of 3:4. The response parameters under study included moment-rotation, secant stiffness, energy dissipation, strain of bar, and moment-curvature of the connection. The connections were simulated using LS-DYNA environment. The models with longitudinal SMA-based bars, as the main bars, could eliminate residual plastic rotations and thus reduce the demand for post-earthquake structural repairs. The flag-shaped stress-strain curve of SMA-based materials resulted in a very slight residual drift in such connections.