• Earthquakes and Structures
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• 제13권1호
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• pp.59-66
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• 2017

Modern seismic codes rely on performance-based seismic design methodology which requires that the structures withstand inelastic deformation. Many studies have focused on the inelastic deformation ratio evaluation (ratio between the inelastic and elastic maximum lateral displacement demands) for various inelastic spectra. This paper investigates the inelastic response spectra through the ductility demand ${\mu}$, the yield strength reduction factor $R_y$, and the inelastic deformation ratio. They depend on the vibration period T, the post-to-preyield stiffness ratio ${\alpha}$, the peak ground acceleration (PGA), and the normalized yield strength coefficient ${\eta}$ (ratio of yield strength coefficient divided by the PGA). A new inelastic deformation ratio $C_{\eta}$ is defined; it is related to the capacity curve (pushover curve) through the coefficient (${\eta}$) and the ratio (${\alpha}$) that are used as control parameters. A set of 140 real ground motions is selected. The structures are bilinear inelastic single degree of freedom systems (SDOF). The sensitivity of the resulting inelastic deformation ratio mean values is discussed for different levels of normalized yield strength coefficient. The influence of vibration period T, post-to-preyield stiffness ratio ${\alpha}$, normalized yield strength coefficient ${\eta}$, earthquake magnitude, ruptures distance (i.e., to fault rupture) and site conditions is also investigated. A regression analysis leads to simplified expressions of this inelastic deformation ratio. These simplified equations estimate the inelastic deformation ratio for structures, which is a key parameter for design or evaluation. The results show that, for a given level of normalized yield strength coefficient, these inelastic displacement ratios become non sensitive to none of the rupture distance, the earthquake magnitude or the site class. Furthermore, they show that the post-to-preyield stiffness has a negligible effect on the inelastic deformation ratio if the normalized yield strength coefficient is greater than unity.

• Structural Engineering and Mechanics
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• 제76권3호
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• pp.279-291
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• 2020

The seismic design of conventional frame structures is meant to enhance plastic deformations at beam ends and prevent yielding in columns. To this end, columns are made stronger than beams. Yet yielding in columns cannot be avoided with the column-to-beam strength ratios (about 1.3) prescribed by seismic codes. Preventing plastic deformations in columns calls for ratios close to 4, which is not feasible for economic reasons. Furthermore, material properties and the rearrangement of geometric shapes inevitably make the distribution of damage among stories uneven. Damage in the i-th story can be characterized as the accumulated plastic strain energy (W_pi) normalized by the product of the story shear force (Q_yi) and drift (δ_yi) at yielding. Past studies showed that the distribution of the plastic strain energy dissipation demand, W_pi/ΣW_pj, can be evaluated from the deviation of Q_yi with respect to an "optimum value" that would make the ratio W_pi/(Q_yiδ_yi) -i.e. the damage- equal in all stories. This paper investigates how the soil type and ductility demand affect the optimum lateral strength distribution. New optimum lateral strength distributions are put forth and compared with others proposed in the literature.

• Steel and Composite Structures
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• 제22권2호
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• pp.323-352
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• 2016

The results of a series of finite element (FE) simulations and experimental studies are used to develop strength and stiffness models that predict the failure capacity and response characteristics of unstiffened extended endplate connections with circular and rectangular bolt configurations associated with deep girders. The proposed stiffness models are composed of multi-linear springs which model the overall extended endplate/column flange system deformation and strength of key-components. Comparison of model predictions with FE and experimental results available in the literature show that the proposed models accurately predict the strength and the response of extended endplate/column system with circular and rectangular bolt configurations. The effect of the bolt configuration (circular and rectangular) on the prying phenomenon encountered in the unstiffened extended endplate/column system was investigated. Based on FE results, extended endplate with circular bolt configuration has a more ductile behavior and exhibits higher total prying forces. The proposed models can be used to design connections that cover all possible failure modes for extended endplate with circular bolt configuration. This study provides guidelines for engineers to account for the additional forces induced in the tension bolts and for the maximum rotational capacity demand in the connection which are required for seismic analysis and design.

• 콘크리트학회논문집
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• 제21권2호
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• pp.169-178
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• 2009

현행 도로교설계기준의 철근콘크리트 교각 심부구속 횡방향철근량 산정식은 중심축력을 받는 기둥에서 콘크리트 피복이 탈락된 후 콘크리트 심부만으로 저항하는 축강도가 콘크리트 피복이 탈락되기 이전의 축강도 이상이 되기 위하여 필요한 횡구속 철근비로서 콘크리트 압축강도, 횡방향철근 항복강도 및 단면적비율을 주요변수로 고려하고 있다. 이들 변수 중 피복두께에 따라 달라지는 전체단면적과 심부단면적의 단면적비율은 압축파괴 영역에서의 강도발현 측면을 고려한 변수이므로 교각과 같이 작용축력이 상대적으로 낮아 축력보다는 모멘트에 의해서 지배되는 인장파괴 영역의 연성거동 측면에서는 단면적비율이 미치는 영향은 크지 않다. 그러나 설계기준의 횡방향철근량 산정식 자체가 교각의 내진거동에 중요한 요소인 연성능력을 직접적으로 고려한 식이 아니기 때문에 단면크기가 상대적으로 작은 경우 또는 내구성 등의 확보 차원에서 콘크리트 피복두께가 증가하여 단면적비율이 과도하게 커지는 경우에는 교각의 시공성 및 경제성이 저하될 정도로 많은 횡방향철근량이 요구되는 문제점을 야기한다. 따라서 본 논문에서는 콘크리트 피복두께가 심부구속 횡방향철근량 산정식에 미치는 영향을 비교, 분석하고 보다 합리적인 내진설계를 위한 심부구속 횡방향철근량 산정식을 수정 제안하였으며 국내 외에서 수행된 실험 결과를 바탕으로 제안식의 안전율 및 타당성을 검증하였다.

• 한국지진공학회논문집
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• 제6권4호
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• pp.65-73
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• 2002

성능에 기초한 설계법에서는 비선형 응답산정이 필수적이며, 이를 위한 방법으로는 비선형시각이력해석법, 비선형 정적해석법, 비선형 효과를 고려한 등가선형해석법 등이 있다. 일부 규준에서는 pushover곡선으로부터 작성한 성능스펙트럼과 선형 응답스펙트럼으로부터 작성한 요구스펙트럼으로 이루어진 능력스펙트럼법을 제안하고 있다. 이 방법은 개념적으로는 간단하나 반복과정이 요구되며, 부정확한 결과를 산출하는 경우가 많다. 이에 따라 시행착오적인 등가선형 스펙트럼대신 비선형스펙트럼을 사용하는 방법들에 대한 연구들이 진행되고 있다. 비선형 요구스펙트럼은 표준적 선형 설계스펙트럼으로부터 결정될 수 있으며, 이 방법은 등가선형의 경우보다는 계산과정이 대폭 줄어들기는 하나 아직도 다소의 연산과정이 요구된다. 따라서 본 연구에서는 다자유도계의 구조물에 대한 pushover곡선으로부터 구조물의 진동주기와 항복강도를 구한 다음, 일련의 계산과정을 거치지 않고도, 직접적으로 비선형 최대응답을 구할 수 있는 비선형 직접스펙트럼법(NDSM)을 제시하극 집중질량계의 MDF(다자유도계) 모델에 대해 다양한 지진기록과 제하강성저하지수를 변수로 하여 NDSM의 적용성과 신뢰성을 평가하고자 한다. 본 연구의 결론은 다음과 같다. 1) 다자유도계 구조물에 대한 비선형 직접스펙트럼법에 의한 최대변위 응답은 비선형 시각이력해석법에 의한 응답과 거의 일치하므로 실용적인 방법으로 사료된다. 2) 비선형 직접스펙트럼법과 비선형 시각이력해석에 의해 산정된 죄상층 변위 결과를 비교하면, 항복후강성계수가 0.1, MAD(modal adaptive distribution)에 의한 수평정적하중분폰 그리고 제하강성저하지수가 0.2~O.3일 때 평균오차가 가장 줄어드는 것으로 나타났다.

• Earthquakes and Structures
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• 제21권5호
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• pp.515-530
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• 2021

In a tall reinforced concrete (RC) core wall system subjected to strong ground motions, inelastic behavior near the base as well as mid-height of the wall is possible. Generally, the formation of plastic hinge in a core wall system may lead to extensive damage and significant repairing cost. A new configuration of core structures consisting of buckling restrained braced frames (BRBFs) and RC walls is an interesting idea in tall building seismic design. This concept can be used in the plan configuration of tall core wall systems. In this study, tall buildings with different configurations of combined core systems were designed and analyzed. Nonlinear time history analysis at severe earthquake level was performed and the results were compared for different configurations. The results demonstrate that using enough BRBFs can reduce the large curvature ductility demand at the base and mid-height of RC core wall systems and also can reduce the maximum inter-story drift ratio. For a better investigation of the structural behavior, the probabilistic approach can lead to in-depth insight. Therefore, incremental dynamic analysis (IDA) curves were calculated to assess the performance. Fragility curves at different limit states were then extracted and compared. Mean IDA curves demonstrate better behavior for a combined system, compared with conventional RC core wall systems. Collapse margin ratio for a RC core wall only system and RC core with enough BRBFs were almost 1.05 and 1.92 respectively. Therefore, it appears that using one RC core wall combined with enough BRBF core is an effective idea to achieve more confidence against tall building collapse and the results demonstrated the potential of the proposed system.