Behavior of semi-rigid steel frames under near- and far-field earthquakes

Vijay Sharma,Mahendra K. Shrimali,Shiv D. Bharti,Tushar K. Datta 국제구조공학회 2020 Steel and Composite Structures, An International J Vol.34 No.5

The realistic modeling of the beam-column semi-rigid connection in steel frames attracted the attention of many researchers in the past for the seismic analysis of semi-rigid frames. Comparatively less studies have been made to investigate the behavior of steel frames with semi-rigid connections under different types of earthquake. Herein, the seismic behavior of semi-rigid steel frames is investigated under both far and near-field earthquakes. The semi-rigid connection is modeled by the multilinear plastic link element consisting of rotational springs. The kinematic hysteresis model is used to define the dynamic behavior of the rotational spring, describing the nonlinearity of the semi-rigid connection as defined in SAP2000. The nonlinear time history analysis (NTHA) is performed to obtain response time histories of the frame under scaled earthquakes at three PGA levels denoting the low, medium and high-level earthquakes. The other important parameters varied are the stiffness and strength parameters of the connections, defining the degree of semi-rigidity. For studying the behavior of the semi-rigid frame, a large number of seismic demand parameters are considered. The benchmark for comparison is taken as those of the corresponding rigid frame. Two different frames, namely, a five-story frame and a ten-story frame are considered as the numerical examples. It is shown that semi-rigid frames prove to be effective and beneficial in resisting the seismic forces for near-field earthquakes (PGA ≈ 0.2g), especially in reducing the base shear to a considerable extent for the moderate level of earthquake. Further, the semi-rigid frame with a relatively weaker beam and less connection stiffness may withstand a moderately strong earthquake without having much damage in the beams.

On the assessment of modal nonlinear pushover analysis for steel frames with semi-rigid connections

Zarfam, Panam,Mofid, Massood Techno-Press 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.32 No.3

Applying nonlinear statistical analysis methods in estimating the performance of structures in earthquakes is strongly considered these days. This is due to the methods' simplicity, timely lower cost and reliable estimation in seismic responses in comparison with time-history nonlinear dynamic analysis. Among nonlinear methods, simplified to be incorporated in the future guidelines, Modal Pushover Analysis, known by the abbreviated name of MPA, simply models nonlinear behavior of structures; and presents a very proper estimation of nonlinear dynamic analysis using lateral load pattern appropriate to the mass. Mostly, two kinds of connecting joints, 'hinge' and 'rigid', are carried out in different type of steel structures. However, it should be highly considered that nominal hinge joints usually experience some percentages of fixity and nominal rigid connections do not employ totally rigid. Therefore, concerning the importance of these structures and the significant flexibility effect of connections on force distribution and elements deformation, these connections can be considered as semi-rigid with various percentages of fixity. Since it seems, the application and implementation of MPA method has not been studied on moment-resistant steel frames with semi rigid connections, this research focuses on this topic and issue. In this regard several rigid and semi-rigid steel bending frames with different percentages of fixity are selected. The structural design is performed based on weak beam and strong column. Followed by that, the MPA method is used as an approximated method and Nonlinear Response History Analysis (NL-RHA) as the exact one. Studying the performance of semi-rigid frames in height shows that MPA technique offers reasonably reliable results in these frames. The methods accuracy seems to decrease, when the number of stories increases and does decrease in correlation with the semi-rigidity percentages. This generally implies that the method can be used as a proper device in seismic estimation of different types of low and mid-rise buildings with semi-rigid connections.

On the assessment of modal nonlinear pushover analysis for steel frames with semi-rigid connections

Panam Zarfam,Massood Mofid 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.32 No.3

Applying nonlinear statistical analysis methods in estimating the performance of structures in earthquakes is strongly considered these days. This is due to the methods’ simplicity, timely lower cost and reliable estimation in seismic responses in comparison with time-history nonlinear dynamic analysis. Among nonlinear methods, simplified to be incorporated in the future guidelines, Modal Pushover Analysis, known by the abbreviated name of MPA, simply models nonlinear behavior of structures; and presents a very proper estimation of nonlinear dynamic analysis using lateral load pattern appropriate to the mass. Mostly, two kinds of connecting joints, ‘hinge’ and ‘rigid’, are carried out in different type of steel structures. However, it should be highly considered that nominal hinge joints usually experience some percentages of fixity and nominal rigid connections do not employ totally rigid. Therefore, concerning the importance of these structures and the significant flexibility effect of connections on force distribution and elements deformation, these connections can be considered as semi-rigid with various percentages of fixity. Since it seems, the application and implementation of MPA method has not been studied on moment-resistant steel frames with semi rigid connections, this research focuses on this topic and issue. In this regard several rigid and semi-rigid steel bending frames with different percentages of fixity are selected. The structural design is performed based on weak beam and strong column. Followed by that, the MPA method is used as an approximated method and Nonlinear Response History Analysis (NL-RHA) as the exact one. Studying the performance of semi-rigid frames in height shows that MPA technique offers reasonably reliable results in these frames. The methods accuracy seems to decrease, when the number of stories increases and does decrease in correlation with the semi-rigidity percentages. This generally implies that the method can be used as a proper device in seismic estimation of different types of low and mid-rise buildings with semi-rigid connections.

Effect of semi-rigid connections in improvement of seismic performance of steel moment-resisting frames

M. Gholipour Feizi,A. Mojtahedi,V. Nourani 국제구조공학회 2015 Steel and Composite Structures, An International J Vol.19 No.2

Seismic performances of dual steel moment-resisting frames with mixed use of rigid and semi-rigid connections were investigated to control of the base shear, story drifts and the ductility demand of the elements. To this end, nonlinear seismic responses of three groups of frames with three, eight and fifteen story were evaluated. These frames with rigid, semi-rigid and combined configuration of rigid and semi-rigid connections were analyzed under five earthquake records and their responses were compared in ultimate limit state of rigid frame. This study showed that in all frames, it could be found a state of semi-rigidity and connections configuration which behaved better than rigid frame, with consideration of the base shear and story drifts criterion. Finally, some criteria were suggested to locate the best place of the semi-rigid connections for improvement of the seismic performance of steel moment-resisting frames.

Design optimization of semi-rigid space steel frames with semi-rigid bases using biogeography-based optimization and genetic algorithms

Osman Shallan,Hassan M. Maaly,Merve Sagiroglu,Osman Hamdy 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.70 No.2

This paper performs for the first time a simultaneous optimization for members sections along with semi-rigid beam-to-column connections for space steel frames with fixed, semi-rigid, and hinged bases using a biogeography-based optimization algorithm (BBO) and a genetic algorithm (GA). Furthermore, a member’s sections optimization for a fully fixed space frame is carried out. A real and accurate simulation of semi-rigid connection behavior is considered in this study, where the semi-rigid base connections are simulated using Kanvinde and Grilli (2012) nonlinear model, which considers deformations in different base connection components under the applied loads, while beam-to-column connections are modeled using the familiar Frye and Morris (1975) nonlinear polynomial model. Moreover, the P-∆ effect and geometric nonlinearity are considered. AISC-LRFD (2016) specification constraints of the stress and displacement are considered as well as section size fitting constraints. The optimization is applied to two benchmark space frame examples to inspect the effect of semi-rigidity on frame weight and drift using BBO and GA algorithms.

반강접 접합부를 적용한 초대형 부유식 구조물 상부구조체에 대한 동적해석

송화철(Hwa-Cheol Song),김우년(Woo-Nyon Kim) 한국항해항만학회 2005 한국항해항만학회지 Vol.29 No.5

초대형 부유식 구조물의 경우 지진하중보다 파랑하중에 의한 영향이 크게 작용하기 때문에 파랑하중에 의한 하부부체의 변형이 상부구조물에 부가모멘트를 발생시키는 요인이 된다. 이러한 부가모멘트를 저감시키기 위해 본 연구에서는 강접합과 핀접합 사이의 거동을 하는 반강접 접합부를 적용하였다. 초대형 부유식 구조물의 상부구조체에 반강접 접합부를 적용할 경우 보의 부가모멘트를 감소시킬 수 있으며, 더욱 경제적인 설계가 가능하다. 본 논문에서는 4경간 3층 예제구조물에 대하여 파랑하중에 의한 영향을 분석하고, 구조물의 반강접 접합부 적용에 따른 효율성을 검토하였다. 접합부는 각형강관 외-다이아프램 접합부를 적용하였으며 파랑하중에 의한 동적 특성을 분석하기 위하여 시간 이력해석을 수행하였다. 초대형 부유식 구조물의 상부구조물의 경우 파랑하중에 의해서 정하중의 최대모멘트 응답이 강접 구조물에서는 33% 증가하였으며, 스프링 모델을 이용한 반강접 구조물에서는 26% 증가하였다. The additional moment occurs because the superstructures of VLFS are influenced by wave loads instead of earthquake loads. In order to reduce the additional moment, this study used the semi-rigid connections which lie between fully rigid and pinned. If the semi-rigid connections are used for superstructures of VLFS, the moment of beams can be reduced and more economical construction will be possible. This study aims to show the effect of wave loads on structure and the efficiency of the semi-rigid connections due to wave loads by analyzing the time history responses. The dynamic behaviors of the rigid frame are compared with those of the semi-rigid frame considering of static loads, wave loads and combination loads for a four-bay, three-story frames. The semi-rigid connection type is a steel tubular column with square external-diaphragm connections and the time history analysis is used for the dynamic responses. The additional moment responses due to wave loads increase 33% in the rigid frame, 26% in the semi-rigid frame with the spring model.

Design and analysis of non-linear space frames with semi-rigid connections

Merve Sagiroglu,Abdulkadir Cuneyt Aydin 국제구조공학회 2015 Steel and Composite Structures, An International J Vol.18 No.6

Semi-rigid connections are the actual behavior of beam-to-column connections in steel frames. However, the behavior of semi-rigid connections is not taken into account for the simplicity in the conventional analysis and design of steel frames. A computer-based analysis and design has been studied for the three-dimensional steel frames with semi-rigid connections. The nonlinear analysis which includes the effects of the flexibility of connections is used for this study. It is designed according to the buckling and combined stress constraints under the present loading after the joint deformations and the member end forces of the space frame are determined by the stiffness matrix method. The semi-rigid connection type is limited to the top and bottom angles with a double web angle connection. The Frye-Morris polynomial model is used to describe the non-linear behavior of semi-rigid connections. Various design examples are presented to demonstrate the efficiency of the method. The results of design and analysis of unbraced semi-rigid frames are compared to the results of unbraced rigid frames under the same design requirements.

전단변형효과를 고려한 부분강절 평면뼈대구조의 안정성 해석

민병철(Min Byoung Cheol),민동주(Min Dong Ju),정명락(Jung Myung Rag),김문영(Kim Moon Young) 대한토목학회 2011 대한토목학회논문집 A Vol.31 No.1A

구조부재의 연결은 강절(rigid), 활절(hinge) 그리고 부재 간의 상대적인 회전이 허용되는 부분강절(semi-rigid)로 구분될 수 있다. 본 연구에서는 부분강절을 탄성회전스프링으로 가정하여 부재 단부에 적용시킨 평면 뼈대구조에 대하여 전단변형을 고려한 엄밀한 접선강도행렬을 유도하고 이를 다시 탄성강도행렬과 기하학적 강도행렬로 분리?유도함으로써 부분강절을 갖는 평면 뼈대구조물의 안정성해석을 위한 일반화된 해석방법을 제시하고자 한다. 이를 위하여, 보-기둥부재의 좌굴조건을 만족시키는 처짐힘수로부터 안정함수(stability function)를 유도하고, 횡변위(sway)를 고려한 힘-변위관계와 적합조건을 고려하여 정확한 접선강도행렬을 제시하였다. 본 연구의 타당성을 입증하고 부분강절 뼈대구조의 전단거동 특성을 파악하기 위하여, 다양한 수치해석 예제에 대해 타 연구자 해석 결과와 본 연구의 안정성 해석결과를 비교하여 제시함으로서 전단변형과 부분강절이 구조물의 좌굴강도에 미치는 영향을 조사한다. Generally the connection of structural members is assumed as hinge, rigid and semi-rigid connections. The exact tangent stiffness matrix of a semi-rigid frame element is newly derived using the stability functions considering shear deformations. Also, linearized elastic- and geometric-stiffness matrices of shear deformable semi-rigid frame are newly proposed. For the exact stiffness matrix, an accurate displacement field is introduced by equilibrium equation for beam-column under the bending and the axial forces. Also, stability functions considering sway deformation and force-displacement relations with elastic rotational spring on ends are defined. In order to illustrate the accuracy of this study, various numerical examples are presented and compared with other researcher's results. Lastly, shear deformation and semi-rigid effects on buckling behaviors of structure are parametrically investigated.

A robust method for optimization of semi-rigid steel frames subject to seismic loading

Truong, Viet-Hung,Kim, Seung-Eock Elsevier 2018 Journal of constructional steel research Vol.145 No.-

<P><B>Abstract</B></P> <P>In this study, we develop a seismic optimization method to minimize the semi-rigid steel frame cost. In the proposed method, cross-sections of columns and beams and types of beam-to-column and base restraint semi-rigid joints are considered as the design variables of the optimization. The nonlinear seismic behaviors of the structure are carried out by using plastic-hinge beam-column elements for beams and columns, zero-length elements for semi-rigid connections, and time-history dynamic analysis. An effective implementation of harmony search technique (HS) is presented to find the global optimal solution of the optimization. In order to improve HS, a multi-comparison technique (MCT) is proposed that significantly reduces the useless time-consuming evaluations in the optimization. The robustness and efficiency of the proposed method are demonstrated through three optimization problems of semi-rigid steel frames. Compared with particle swarm optimization (PSO), micro-genetic algorithm (micro-GA), and genetic algorithm (GA), the proposed method is found to significantly reduce the number of structural analyses required and yield the better optimum frame designs.</P> <P><B>Highlights</B></P> <P> <UL> <LI> A method for optimizing semi-rigid steel frames under earthquake is proposed using advanced analysis and harmony search. </LI> <LI> Structural nonlinear seismic behaviors are carried out by using a time-history dynamic analysis. </LI> <LI> Cross-sections of beams and columns and connection types of beam-to-column and base restraint joints are design variables. </LI> <LI> Some numerical examples of semi-rigid steel frames under seismic loading are considered. </LI> </UL> </P>

Sulfur Polymer Emulsion 및 보강용 섬유를 활용한 반강성 포장재의 공학적 특성

이병재,서지석,노재호,김윤용 한국구조물진단유지관리공학회 2014 한국구조물진단유지관리공학회 논문집 Vol.18 No.1

본 연구에서는 유황폴리머에멀젼 (SPE)을 반강성 포장용 주입재의 아크릴레이트 대체재로서 활용가능성과 성능향상재료 (PVA섬유)에 대한 역학적 성능과 내구성능을 평가하였다. 평가결과, 반강성 포장재의 충전률은 섬유의 혼입률이 증가함에 따라 충전률이 저하되었지만,모든 배합조건에서 평균 92~94%로 측정되어 목표 성능인 90%를 만족하였다. 반강성 포장재의 마샬안정도 값은 최대 25.4kN으로 측정되어 반강성 포장재의 국내 기준인 5.0 kN 보다 약 4.7배 우수한 것으로 나타났다. 반강성 포장재의 동적안정도 평가결과, 휠 트래킹시험에 따른 변형저항성은 SPE를 대체한 배합조건이 보다 우수하였고, 모든 배합조건에서 45분 이후에는 변형량이 일정한 값에 수렴되어 동적안정도가 31,500회/mm로 동일한 결과를 나타내었다. 파단변형률은 최대 0.53% 정도로 나타나 아스팔트 포장재보다 우수한 강성으로 나타났다. 마모저항성 및 충격저항성 검토결과 모든 배합조건에서 손실률이 9.8~6.0%로 나타나 우수한 내마모성을 나타내었으며, 섬유를 0.3% 혼입한 경우 혼입하지 않은 Plain에 비하여 2.82배의 내충격성 향상을 나타내었다. 역학적성능 및 내구성능 등을 모두 고려하여 볼 때, 이연구 범위에서는 SPE 대체율 30%가 적정 수준이고, 혼입률 0.3% 범위에서 PVA 섬유를 적용하면 우수한 인성을 갖는 반강성 포장재 제조가 가능 할 것으로 판단된다. The application of sulfur polymer emulsion (SPE) as an acrylate substitute for semi-rigid pavement grout was evaluated, and theperformance improvement by employing PVA fibers were also evaluated. The result indicated that the filling ratio of semi-rigid pavement material decreased as the fiber content increased, but it was measured to be 92~94% in every mixing condition, whichsatisfies the target performance, 90%. The maximum Marshall stability value of semi-rigid pavement material was measured to be25.4 kN, which is about 4.7 times higher than the Korean Standard required for semi-rigid pavement material, 5.0 kN. The dynamic stability evaluation of semi-rigid pavement material indicated that the resistance to deformation from the wheel tracking test was improved by an SPE substitution, and in every mixing condition, the deformation converged to a constant value after 45 minutes with the same dynamic stability of 31,500 times/mm. The strain at the flexural failure was about 0.53%, which shows superior rigidity to asphalt pavements. The examination of abrasion resistance and impact resistance showed that the loss ratio was9.8~6.0% in every mixing condition, which indicates a good abrasion resistance. Also, when fiber content ratio was 0.3%, the impact resistance was 2.82 times higher compared to plain (i.e., when fibers were not added). In the limited range of this study,an SPE substitution ratio of 30% was found to be an optimal level considering the mechanical and durability performance. In addition, it is thought that semi-rigid pavement material with superior performance could be manufactured if fiber content ratio upto 0.3% is applied depending on the purpose of use.