Response Modification Factor for Steel Structure Equipped with Viscous Damper Device

H. Abdi,F. Hejazi,R. Saifulnaz,I. A. Karim,M.S. Jaafar 한국강구조학회 2015 International Journal of Steel Structures Vol.15 No.3

The response modification factor (R) is a seismic design parameter that determines the nonlinear performance of building structures during strong earthquakes. Nevertheless, an extensive review of related literature indicates that the effect of viscous dampers on the response modification factor is not considered. Therefore, this study proposed the response modification factors for steel structures equipped with viscous damper devices and investigated the effect of implementing such devices in steel structures on the response modification factor. Response modification factor was formulated based on three aspects, namely, strength, ductility, and redundancy factors. A nonlinear statistical analysis was performed with finite element software using structural models with damper devices installed in different locations at various story levels. Results revealed that the response modification factors for steel structures with damper devices are higher than those for steel structures without damper devices. Considering the analytical results for all cases, an equation proposed to determine the response modification factor for steel structures with viscous dampers according to the damping coefficient.

철근콘크리트 연성 모멘트골조에 대한 반응수정계수와 비선형 변위량의 평가

김길환,전대한,이상호 한국지진공학회 2002 한국지진공학회논문집 Vol.6 No.2

본 연구는 철근콘크리트 연성 모멘트골조의 선형.비선형 정적해석을 통한 반응수정계수와 비선형 변위량을 평가하여 합리적인 내진설계의 기초자료를 제공하는 것을 목적으로 한다. 먼저 국내 내진설계 규준에 따라 각 모델을 설계한 후, 철근콘크리트 연성 모멘트골조의 반응수정계수와 비선형 변위량을 평가하였으며, 해석에 사용된 모델은 층수(10, 20, 30), 평면비(1:1, 1:2), 해석방법(2D, 3D)을 변수로 한 27개의 모델이다. 반응수정계수와 비선형 변위량의 평가는 각 모델별 선형.비선형 정적해석을 수행하여 그 결과를 비교 분석하여 산정하였다. 반응수정계수는 강도계수, 연성계수, 잉여도계수, 감쇠계수의 곱으로 산정하였고, 그 결과 해석방향의 저항골조의 수에 따라 2 스팬인 경우 3.5, 3 스팬인 경우 4.3, 4 스팬 이상인 경우에는 평면비나 층수와 상관없이 5.0에 근접한 결과를 나타내었다. 비선형 변위량은 층간변위각비(비선형 변위각/선형 변위각)에 의해 평가되었으며, 층간변위각비는 5.85에서 9.34로 나타났다. The purpose of this study is to provide a fundamental data of earthquake resistant design through the estimation of the response modification factor and nonlinear displacement for moment resisting reinforced concrete frames by linear and nonlinear static analysis. The analysis models are designed in accordance with AIK code and then, estimated the response modification factor and nonlinear displacement of the buildings. The parameters such as story numbers(10, 20, 30), plan ratios(1:1, 1:2) and analysis types(2D, 3D) of building structure are chosen for use in this study. After comparing the results of linear and nonlinear static analysis, the response modification factor is obtained as the product of four factors: ductility factor, strength factor, damping factor and redundancy factor. The response modification factor are close to 3.5 in case of 2 span, 4.3 in case of 3 span and 5.0 in case 4 or more span models regardless number of stories and plan ratios. The nonlinear displacement is evaluated from the ratio of story drift angle(nonlinear drift/linear drift). The ratio of story drift angle increases as story numbers increase and the value varies from 5.85 to 9.34.

Design parameter dependent force reduction,strength and response modification factorsfor the special steel moment-resisting frames

Cheol Kyu Kang,최병정 국제구조공학회 2011 Steel and Composite Structures, An International J Vol.11 No.4

In current ductility-based earthquake-resistant design, the estimation of design forces continues to be carried out with the application of response modification factors on elastic design spectra. It is well-known that the response modification factor (R) takes into account the force reduction, strength, redundancy, and damping of structural systems. The key components of the response modification factor (R) are force reduction (Rμ) and strength (RS) factors. However, the response modification and strength factors for structural systems presented in design codes were based on professional judgment and experiences. A numerical study has been accomplished to evaluate force reduction, strength, and response modification factors for special steel moment resisting frames. A total of 72 prototype steel frames were designed based on the recommendations given in the AISC Seismic Provisions and UBC Codes. Number of stories, soil profiles, seismic zone factors, framing systems, and failure mechanisms were considered as the design parameters that influence the response. The effects of the design parameters on force reduction (Rμ), strength (RS), and response modification (R) factors were studied. Based on the analysis results, these factors for special steel moment resisting frames are evaluated.

단주효과 및 고유주기를 고려한 비내진 학교시설의 반응 수정계수

김범석,박지훈,Kim, Beom Seok,Park, Ji-Hun 한국지진공학회 2019 한국지진공학회논문집 Vol.23 No.4

Response modification factors of school facilities for non-seismic RC moment frames with partial masonry infills in 'Manual for Seismic Performance Evaluation and Retrofit of School Facilities' published in 2018 were investigated in the preceding study. However, since previous studies are based on 2D frame analysis and limited analysis conditions, additional verification needs to be performed to further apply various conditions including orthogonal effect of seismic load. Therefore, this study is to select appropriate response modification factors of school facilities for non-seismic RC moment frames with partial masonry infills by 3D frame analysis. The results are as follows. An appropriate response modification factor for non-seismic RC moment frames with partial masonry infills is proposed as 2.5 for all cases if the period is longer than 0.6 seconds. Also if the period is less than 0.4 seconds and the ratio of shear-controlled columns is less than 30%, 2.5 is chosen too. However, if the period is less than 0.4 seconds and the ratio of shear-controlled columns is higher than 30%, the response modification factor shall be reduced to 2.0. If the period is between 0.4 and 0.6 seconds, then linearly interpolates the response correction factor.

약진지역에서의 초과강도 및 반응수정계수

이동근,조소훈,고현,김태진 한국지진공학회 2006 한국지진공학회논문집 Vol.10 No.3

현행 약진지역의 내진설계기준은 주로 강진지역에서의 연구결과에 근거하고 있다. 하지만, 약진지역의 경우 지진하중보다는 중력하중이나 풍하중에 의해 구조설계가 지배되므로 구조물의 초과강도가 강진지역의 경우보다 증가하게 된다. 따라서 약진지역에 적합한 내진설계기준을 마련하기 위해서는 강진지역에 적용되는 반응수정계수를 약진지역에 그대로 적용할 수 있는지에 대한 검증이 필요하다. 본 연구에서는 건축구조물에 대한 소성해석을 통해 그 연성도와 초과강도를 산정하고 이에 근거하여 현행 반응수정계수의 적절성 여부를 검토하였다. 강진, 중진, 약진지역 등에서의 초과강도와 연성요구도를 비교하기 위하여 UBC-97에 근거하여 설계된 예제구조물을 선정하여 해석을 수행하였다. 해석결과에 의하면 약진지역의 초과강도가 강진지역보다 크기 때문에 동일한 반응수정계수에 대한 약진지역의 연성요구도는 강진지역에서보다 적게 된다. 따라서 동일한 반응수정계수를 이용하여 설계된 약진지역 구조물의 경우 접합부에서의 소성회전각 요구량을 강진지역의 경우에 비하여 상대적으로 저감시킬 수 있을 것이다. Seismic design codes are mainly based on the research results for the inelastic response of structures in high seismicity regions. Since wind loads and gravity loads may govern the design in low seismicity regions in many cases, structures subjected to design seismic loads will have larger overstrength compared to those of high seismicity regions. Therefore, it is necessary to verify if the response modification factor based on high seismicity would be adequate for the design of structures in low seismicity regions. In this study, the adequacy of the response modification factor was verified based on the ductility and overstrength of building structures estimated from the result of nonlinear static analysis. Framed structures are designed for the seismic zones 1, 2A, 4 in UBC-97 representing the low, moderated and high seismicity regions and the overstrength factors and ductility demands of the example structures are investigated. When the same response modification factor was used in the design, inelastic response of structures in low seismicity regions turned out to be much smaller than that in high seismicity regions because of the larger overstrength of structures in low seismicity regions. Demands of plastic rotation in connections and ductility in members were much lower in the low seismicity regions compared to those of the high seismicity regions when the structures are designed with the same response modification factor.

철골 연성 모멘트 골조에 대한 다자유도 시스템의 연성계수 평가

강철규,한영철 한국지진공학회 2004 한국지진공학회논문집 Vol.8 No.6

연성 계수는 반응수정계수(R)의 핵심구성요소로서 내진설계에서 중요한 역할을 하는 계수이다. 본 연구에서의 연성계수()는 단자유도 구조물의 연성계수()에 다자유도 보정계수()를 곱하여 평가하였다. 단자유도 시스템의 연성계수는 지진하중을 받는 단자유도 구조물의 변위 연성요구도와 주기에 따른 비선형 동적해석으로부터 산정하였다. 다자유도 시스템의 영향을 고려하기 위한 다자유도 보정계수()는 기존의 연구에 근거하여 제시하였다. 철골 연성 모멘트 골조의 연성계수를 평가하기 위하여, 구조물의 층수, 골조시스템(외곽골조, 분배골조), 붕괴 메카니즘(강-기둥 약-보, 약-기둥 강-보), 토질조건 및 지진구역을 변수로 하여 총 108개의 예제 구조물을 설계하였다. 구조물의 층수, 붕괴 메카니즘 및 토질조건은 연성계수에 큰 영향을 미치는 반면, 골조 시스템 및 지진구역은 연성계수에 영향을 미치지 않는 것으로 나타났다. Ductiluty factor has played an important role in seismic design as it is key component of response modification factor(R). In this stuty, ductility factors() are calculated by multiplying ductility factor for SDOF systems() and MDOF modification factors(). Ductility factors() for SDOF systems are computed from nonlinear dynamic analysis undergoing different level of displacement ductiluty demands and period when subjected to a large number of recorded earthquake ground motions. The MDOF modification factors() are proposed to account for the MDOF systems, based on previous studies. A total of 108 prototype steel frames are designed to investigate the ductility factors considering the number of stories(4, 8 and 16-stories), framing system(Perimeter Frames, PF and Distributed Frames, DF), failure mechanism(Strong-Column Weak-Beam, SCWB and Weak-Column Strong-Beam, WCSB), soil profiles(SA, SC and SE in UBC 1997) and seismic zone factors(Z=0.075, 0.2 and 0.4 in UBC 1997). It is shown that the number of stories, failure mechanisms (SCWB, WCSB), and soil profiles have great influence on the ductility factors, however, the structural system(Perimeter frames, Distributed frames), and seismic zones have no influence on the ductility factors.

Seismic Design of Structures in Low Seismicity Regions

Lee, Dong-Gu,Cho, So-Hoon,Ko, Hyun 한국지진공학회 2007 한국지진공학회논문집 Vol.11 No.4

Seismic design codes are developed mainly based on the observation of the behavior of structures in the high seismicity regions where structures may experience significant amount of inelastic deformations and major earthquakes may result in structural damages in a vast area. Therefore, seismic loads are reduced in current design codes for building structures using response modification factors which depend on the ductility capacity and overstrength of a structural system. However, structures in low seismicity regions, subjected to a minor earthquake, will behave almost elastically because of the larger overstrength of structures in low seismicity regions such as Korea. Structures in low seismicity regions may have longer periods since they are designed to smaller seismic loads and main target of design will be minor or moderate earthquakes occurring nearby. Ground accelerations recorded at stations near the epicenter may have somewhat different response spectra from those of distant station records. Therefore, it is necessary to verify if the seismic design methods based on high seismicity would he applicable to low seismicity regions. In this study, the adequacy of design spectra, period estimation and response modification factors are discussed for the seismic design in low seismicity regions. The response modification factors are verified based on the ductility and overstrength of building structures estimated from the farce-displacement relationship. For the same response modification factor, the ductility demand in low seismicity regions may be smaller than that of high seismicity regions because the overstrength of structures may be larger in low seismicity regions. The ductility demands in example structures designed to UBC97 for high, moderate and low seismicity regions were compared. Demands of plastic rotation in connections were much lower in low seismicity regions compared to those of high seismicity regions when the structures are designed with the same response modification factor. Therefore, in low seismicity regions, it would be not required to use connection details with large ductility capacity even for structures designed with a large response modification factor.

Seismic behavior factors of buckling-restrained braced frames

Kim, Jinkoo,Park, Junhee,Kim, Sang-Dae Techno-Press 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.33 No.3

The seismic behavior of a framed structure with chevron-type buckling restrained braces was investigated and their behavior factors, such as overstrength, ductility, and response modification factors, were evaluated. Two types of structures, building frame systems and dual systems, with 4, 8, 12, and 16 stories were designed per the IBC 2003, the AISC LRFD and the AISC Seismic Provisions. Nonlinear static pushover analyses using two different loading patterns and incremental dynamic analysis using 20 earthquake records were carried out to compute behavior factors. Time history analyses were also conducted with another 20 earthquakes to obtain dynamic responses. According to the analysis results, the response modification factors turned out to be larger than what is proposed in the provision in low-rise structures, and a little smaller than the code-values in the medium-rise structures. The dual systems, even though designed with smaller seismic load, showed superior static and dynamic performances.

Seismic behavior factors of buckling-restrained braced frames

김진구,박준희,김상대 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.33 No.2

The seismic behavior of a framed structure with chevron-type buckling restrained braces was investigated and their behavior factors, such as overstrength, ductility, and response modification factors, were evaluated. Two types of structures, building frame systems and dual systems, with 4, 8, 12, and 16 stories were designed per the IBC 2003, the AISC LRFD and the AISC Seismic Provisions. Nonlinear static pushover analyses using two different loading patterns and incremental dynamic analysis using 20 earthquake records were carried out to compute behavior factors. Time history analyses were also conducted with another 20 earthquakes to obtain dynamic responses. According to the analysis results, the response modification factors turned out to be larger than what is proposed in the provision in low-rise structures, and a little smaller than the code-values in the medium-rise structures. The dual systems, even though designed with smaller seismic load, showed superior static and dynamic performances.

소규모 철근콘크리트 모멘트골조 건축물의 초과강도, 연성도 및 반응수정계수

김태완,추유림,박홍근,신영수 한국지진공학회 2016 한국지진공학회논문집 Vol.20 No.3

Small-size buildings are not designed by professional structural engineers in Korea. Therefore, their seismic performance can not be exactly estimated because their member sizes and reinforcement may be over- or under-designed. A prescriptive design criteria for the small-size buildings exists, but it also provides over-designed structural members since structural analysis is not incorporated, so it is necessary to revise the prescriptive criteria. The goal of this study was to provide an information for the revision, which is seismic performance and capability of small-size reinforced concrete moment frame buildings. For the study, the state of existing small-size reinforce-concrete buildings such as member size and reinforcement was identified by investigating their structural drawings. Then, over-strength, ductility and response modification factor of the small-size reinforced concrete moment frame buildings were estimated by analytical approach along with seismic performance check. The result showed that they possess moderate over-strength and ductility, and may use slightly increased response modification factor.