• 제목/요약/키워드: elastic lateral stiffness

검색결과 119건 처리시간 0.031초

Determining elastic lateral stiffness of steel moment frame equipped with elliptic brace

  • Habib Ghasemi, Jouneghani;Nader, Fanaie;Mohammad Talebi, Kalaleh;Mina, Mortazavi
    • Steel and Composite Structures
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    • 제46권3호
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    • pp.293-318
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    • 2023
  • This study aims to examine the elastic stiffness properties of Elliptic-Braced Moment Resisting Frame (EBMRF) subjected to lateral loads. Installing the elliptic brace in the middle span of the frames in the facade of a building, as a new lateral bracing system not only it can improve the structural behavior, but it provides sufficient space to consider opening it needed. In this regard, for the first time, an accurate theoretical formulation has been developed in order that the elastic stiffness is investigated in a two-dimensional single-story single-span EBMRF. The concept of strain energy and Castigliano's theorem were employed to perform the analysis. All influential factors were considered, including axial and shearing loads in addition to the bending moment in the elliptic brace. At the end of the analysis, the elastic lateral stiffness could be calculated using an improved relation through strain energy method based on geometric properties of the employed sections as well as specifications of the utilized materials. For the ease of finite element (FE) modeling and its use in linear design, an equivalent element was developed for the elliptic brace. The proposed relation was verified by different examples using OpenSees software. It was found that there is a negligible difference between elastic stiffness values derived by the developed equations and those of numerical analysis using FE method.

Theoretical formulation for calculating elastic lateral stiffness in a simple steel frame equipped with elliptic brace

  • Jouneghani, Habib Ghasemi;Fanaie, Nader;Haghollahi, Abbas
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.437-454
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    • 2022
  • Elliptic-braced simple resisting frame as a new lateral bracing system installed in the middle bay of frame in building facades has been recently introduced. This system not only creates a problem for opening space from the architectural viewpoint but also improves the structural behavior. Despite the researches on the seismic performance of lateral bracing systems, there are few studies performed on the effect of the stiffness parameters on the elastic story drift and calculation of period in simple braced steel frames. To overcome this shortcoming, in this paper, for the first time, an analytical solution is presented for calculating elastic lateral stiffness in a simple steel frame equipped with elliptic brace subjected to lateral load. In addition, for the first time, in this study, a precise formulation has been developed to evaluate the elastic stiffness variation in a steel frame equipped with a two-dimensional single-story single-span elliptic brace using strain energy and Castigliano's theorem. Thus, all the effective factors, including axial and shear loads as well as bending moments of elliptic brace could be considered. At the end of the analysis, the lateral stiffness can be calculated by an improved and innovative relation through the energy method based on the geometrical properties of the employed sections and specification of the used material. Also, an equivalent element of an elliptic brace was presented for the ease of modeling and use in linear designs. Application of the proposed relation have been verified through a variety of examples in OpenSees software. Based on the results, the error percentage between the elastic stiffness derived from the developed equations and the numerical analyses of finite element models was very low and negligible.

Lateral stiffness of corner-supported steel modular frame with splice connection

  • Yi-Fan Lyu;Guo-Qiang Li;Ke Cao;Si-Yuan Zhai;De-Yang Kong;Xuan-Yi Xue;Heng Li
    • Steel and Composite Structures
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    • 제48권3호
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    • pp.321-333
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    • 2023
  • This paper proposes a comprehensive investigation on lateral stiffness of corner-supported steel modular frame using splice connection. A full-scale modular frame with two stacked steel modules under lateral load is tested. Ductile pattern in the transfer of lateral load is found in the final failure mode. Two types of lateral stiffness, including tangent stiffness and secant stiffness, are defined from the load-displacement due to the observed nonlinearity. The difference between these two types of stiffness is found around 20%. The comparisons between the experimental lateral stiffness and the predictions of classical methods are also conducted. The D-value method using hypothesis of independent case is a conservative option for predicting lateral stiffness, which is more recommended than method of contraflexural bending moment. Analyses on two classical short-rod models, including fix-rod model and pin-rod model, are further conducted. Results indicate that fix-rod model is more recommended than pin-rod model to simplify splice connection for simulation on lateral stiffness of modular frame in elastic design stage.

Lateral-torsional buckling resistance of composite steel beams with corrugated webs

  • Shaheen, Yousry B.I.;Mahmoud, Ashraf M.
    • Structural Engineering and Mechanics
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    • 제81권6호
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    • pp.751-767
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    • 2022
  • In the hogging bending moment area, continuous composite beams are subjected to the ultimate limit state of lateral-torsional buckling (LTB), which depends on web stiffness as well as concrete slab and shear connection stiffnesses. The design of the LTB and the determination of the elastic critical moment are produced approximately, using the European Standard EN 1994-1-1:2004, for continuous composite steel beams, but is applicable only for those with a plane web steel profile. Also, and from the previous researches, the elastic critical moment of the continuous composite beams with corrugated sinusoidal web steel profiles was determined. In this paper, a finite element analysis (FEA) model was developed using the ANSYS 16 software, to determine the elastic critical moments of continuous composite steel beams with various corrugated web profiles, such as trapezoidal, zigzag, and rectangular profiles, which were evaluated against numerical data of the sinusoidal one from the literature. Ultimately, the failure load of a composite steel beam with various web profiles was predicted by studying 46 models, based on FEA modeling, and a procedure for predicting the elastic critical moment of composite beams with various web steel profiles was proposed. When compared to sinusoidal web profiles, the trapezoidal, zigzag, and rectangular web profiles required an average increase in load capacity and stiffness of 7%, 17.5%, and 28%, respectively, according to the finite element analysis. Also, the rectangular web steel profile has a greater stiffness and load capacity. In contrast, the sinusoidal web has lower values for these characteristics.

Identifying stiffness irregularity in buildings using fundamental lateral mode shape

  • Vijayanarayanan, A.R.;Goswami, Rupen;Murty, C.V.R.
    • Earthquakes and Structures
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    • 제12권4호
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    • pp.437-448
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    • 2017
  • Soft or extreme soft storeys in multi-storied buildings cause localized damage (and even collapse) during strong earthquake shaking. The presence of such soft or extremely soft storey is identified through provisions of vertical stiffness irregularity in seismic design codes. Identification of the irregularity in a building requires estimation of lateral translational stiffness of each storey. Estimation of lateral translational stiffness can be an arduous task. A simple procedure is presented to estimate storey stiffness using only properties of fundamental lateral translational mode of oscillation (namely natural period and associated mode shape), which are readily available to designers at the end of analysis stage. In addition, simplified analytical expressions are provided towards identifying stiffness irregularity. Results of linear elastic time-history analyses indicate that the proposed procedure captures the irregularity in storey stiffness in both low- and mid-rise buildings.

독본(dogbone) 내진접합부를 갖는 철골 모멘트골조의 횡강성 평가 (Lateral Stiffness of Steel Moment Frames Having Dogbone Seismic Connection)

  • 이철호
    • 한국전산구조공학회논문집
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    • 제15권4호
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    • pp.639-647
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    • 2002
  • 본 연구에서는 원주형 절취 독본(dogbonc) 내진 접합부 도입에 따른 철골모멘트골조의 횡강성 감소 정도를 용이하게 산정할 수 있는 실용적 해석기법을 제안하였다. 된 연구의 방안은 원래의 원주형 절취 형상의 독본에서 발생하는 신장량과 동일한 크기의 신장량이 유발되도록 등가의 균등한 유효폭을 갖는 독본 형상으로 치환하는 것에 근거하고 있다. 등가 유효폭을 도입하는 목적은 공액보법을 적용하여 보의 휨변형에 의한 골조의 횡변위 성분을 유도할 때 수행되는 전분을 해석적으로 하기 위함이다. 이러한 접근법의 타당성을 먼저 검증된 유한요소해석모델에 의해 확인한 후, 기둥, 패널존 그리고 보의 변형에서 기인하는 골조의 횡변위 성분을 독본의 존재를 고려하여 해석적으로 유도하였다. 이 유도결과를 이용한 사례분석에 의할 때, 독본의 도입에 따른 횡변위 증가율은 2%∼3%(횡강성 감소율로는 1%∼2%) 정도로서 실무적으로 무시할 수 있는 크기로 나타났다.

Distortional buckling of I-steel concrete composite beams in negative moment area

  • Zhou, Wangbao;Li, Shujin;Huang, Zhi;Jiang, Lizhong
    • Steel and Composite Structures
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    • 제20권1호
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    • pp.57-70
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    • 2016
  • The predominant type of buckling that I-steel concrete composite beams experience in the negative moment area is distortional buckling. The key factors that affect distortional buckling are the torsional and lateral restraints by the bottom flange. This study thoroughly investigates the equivalent lateral and torsional restraint stiffnesses of the bottom flange of an I-steel concrete composite beam under negative moments. The results show a coupling effect between the applied forces and the lateral and torsional restraint stiffnesses of the bottom flange. A formula is proposed to calculate the critical buckling stress of the I-steel concrete composite beams under negative moments by considering the lateral and torsional restraint stiffnesses of the bottom flange. The proposed method is shown to better predict the critical bending moment of the I-steel composite beams. This article introduces an improved method to calculate the elastic foundation beams, which takes into account the lateral and torsional restraint stiffnesses of the bottom flange and considers the coupling effect between them. The results show a close match in results from the calculation method proposed in this paper and the ANSYS finite element method, which validates the proposed calculation method. The proposed calculation method provides a theoretical basis for further research on distortional buckling and the ultimate resistance of I-steel concrete composite beams under a variable axial force.

정적탄소성해석에 의한 복합구조물의 거동특성에 관한 연구 (A Study on the Behavior Properties of Residential-Commercial Building by Pushover Analysis)

  • 강병두;전대한;김재웅
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.209-216
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    • 2000
  • The purpose of this study is to investigate elasto-plastic behaviour and estimate ultimate resistance capacity of the residential-commercial building subjected to lateral force along the height of structure. Four types of residential-commercial building are chosen as analytical models and investigated by pushover analysis. Pushover analysis estimates initial elastic stiffness, post-yielding stiffness, and plastic hinges on each story of structures through three-dimensional nonlinear analysis program CANNY-99. Skeleton curve of bending stiffness model is bilinear, shear stiffness model is trilinear, and axial stiffness model is elastic. Skeleton curve of axial stiffness model has the axial compression and tension stiffness of reinforced concrete members. This study presents the change of inter story drift, story stiffness and hinge of story and member.

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동력분산형 고속열차의 횡방향 진동저감에 관한 연구 (A Study on the Lateral Vibration Reduction of the High-speed Electric Multiple Unit)

  • 전창성;박준혁;김상수;김석원
    • 한국산학기술학회논문지
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    • 제20권12호
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    • pp.797-803
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    • 2019
  • 본 연구는 동력분산형 고속열차의 횡방향 진동을 저감하기 위하여 진행되었다. 동역학 해석을 통한 연구에서 동력분산형 고속열차 시제차량(HEMU-430X)은 고속열차에서 주로 사용되는 차륜프로파일(XP55, GV40, S1002)에 관계없이 낮은 등가답면구배에서 횡방향 진동이 커지고, 차륜 마모가 진행되어 등가답면구배가 커지면 횡진동이 감소하는 경향을 보였다. 이는 HEMU-430X에 적용된 현가장치 특성치들의 조합된 결과로 인해 등가답면구배가 낮을 때 차체와 대차가 1.4Hz의 주파수로 공진하여 차체 헌팅이 발생되기 때문이다. 고속열차의 횡방향 진동저감에 대한 해외 사례에서 요댐퍼의 유압강성(Hydraulic stiffness)을 낮추어 진동을 개선한 사례를 고찰하였다. 요댐퍼의 시리즈 강성은 유압강성과 탄성조인트의 조합인데 본 연구에서는 유압강성 조정대신 비교적 간단하게 할 수 있는 탄성조인트의 강성을 낮추어 횡방향 진동을 개선하고자 하였다. 신규 제작된 탄성조인트를 적용한 요댐퍼의 시리즈 강성은 기존 요댐퍼 대비 60% 수준으로 낮았다. 60% 수준의 시리즈 강성이 적용된 요댐퍼를 HEMU-430X의 TC~M2 3량에 설치하여 시운전 시험을 수행하였다. 시운전 시험 결과 TC를 선두로 한 하행 주행 시 TC~M1의 횡방향 진동이 개선되고, MC를 선두로 한 상행 주행 시 후미 TC차량의 횡진동이 개선되는 결과를 보였다. 본 연구의 진동저감 방안은 향후 영업운전을 위해 도입되는 EMU-250 및 EMU-320의 횡방향 진동 문제 발생 시 해결책으로 적용할 수 있다.