• 제목/요약/키워드: two-dimensional stiffness of structures

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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.

Evaluation of the effect of smart façade systems in reducing dynamic response of structures subjected to seismic loads

  • Samali, Bijan;Abtahi, Pouya
    • Earthquakes and Structures
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    • 제11권6호
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    • pp.983-1000
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    • 2016
  • To date the engineering community has seen facade systems as non-structural elements with high aesthetic value and a barrier between the outdoor and indoor environments. The role of facades in energy use in a building has also been recognized and the industry is also witnessing the emergence of many energy efficient facade systems. This paper will focus on using exterior skin of the double skin facade system as a dissipative movable element during earthquake excitation. The main aim of this study is to investigate the potential of the facade system to act as a damper system to reduce earthquake-induced vibration of the primary structure. Unlike traditional mass dampers, which are usually placed at the top level of structures, the movable/smart double skin facade systems are distributed throughout the entire height of building structures. The outer skin is moveable and can act as a multi tuned mass dampers (MTMDs) that move and dissipate energy during strong earthquake motions. In this paper, using a three dimensional 10-storey building structure as the example, it is shown that with optimal choice of materials for stiffness and damping of brackets connecting the two skins, a substantial portion of earthquake induced vibration energy can be dissipated which leads to avoiding expensive ductile seismic designs. It is shown that the engineering demand parameters (EDPs) for a low-rise building structures subjected to moderate to severe earthquakes can be substantially reduced by introduction of a smart designed double skin system.

Damage assessment of a bridge based on mode shapes estimated by responses of passing vehicles

  • Oshima, Yoshinobu;Yamamoto, Kyosuke;Sugiura, Kunitomo
    • Smart Structures and Systems
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    • 제13권5호
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    • pp.731-753
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    • 2014
  • In this study, an indirect approach is developed for assessing the state of a bridge on the basis of mode shapes estimated by the responses of passing vehicles. Two types of damages, i.e., immobilization of a support and decrease in beam stiffness at the center, are evaluated with varying degrees of road roughness and measurement noise. The assessment theory's feasibility is verified through numerical simulations of interactive vibration between a two-dimensional beam and passing vehicles modeled simply as sprung mass. It is determined that the damage state can be recognized by the estimated mode shapes when the beam incurs severe damage, such as immobilization of rotational support, and the responses contain no noise. However, the developed theory has low robustness against noise. Therefore, numerous measurements are needed for damage identification when the measurement is contaminated with noise.

가상등가투영형상을 이용하여 피라미드형 트러스 코어를 구비한 금속샌드위치 판재의 효율적 해석기법 제안 (Introduction of Efficient FE-analysis Method Using Virtual Equivalent Projected Model (VEPM) for Metallic Sandwich Plates with Pyramidal Truss Cores)

  • 성대용;정창균;심도식;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.262-265
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    • 2007
  • Metallic sandwich plates constructed of two face sheets and low relative density cores have lightweight characteristics and various static and dynamic load bearing functions. To predict the formability and performance of these structured materials, a computationally efficient FE-analysis method incorporating virtual equivalent projected model has been newly introduced for analysis of metallic sandwich plates. Two dimensional models using the projected shapes of 3D structures have the same equivalent elastic-plastic properties with original geometries including anisotropic stiffness, yield strength and linear hardening function. The projected shapes and virtual properties of the virtual equivalent projected model have been estimated analytically with the same equivalent properties and face buckling strength of 3D pyramidal truss core.

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Large strain analysis of two-dimensional frames by the normal flow algorithm

  • Tabatabaei, R.;Saffari, H.
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.529-544
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    • 2010
  • Nonlinear equations of structures are generally solved numerically by the iterative solution of linear equations. However, this iterative procedure diverges when the tangent stiffness is ill-conditioned which occurs near limit points. In other words, a major challenge with simple iterative methods is failure caused by a singular or near singular Jacobian matrix. In this paper, using the Newton-Raphson algorithm based on Davidenko's equations, the iterations can traverse the limit point without difficulty. It is argued that the propose algorithm may be both more computationally efficient and more robust compared to the other algorithm when tracing path through severe nonlinearities such as those associated with structural collapse. Two frames are analyzed using the proposed algorithm and the results are compared with the previous methods. The ability of the proposed method, particularly for tracing the limit points, is demonstrated by those numerical examples.

횡강성 영향행렬을 이용한 고층건물의 횡변위 제어 및 단면 재산정 방안 (Lateral Drift Control and Resizing Technique for Tall Buildings using Lateral-Stiffness Influence Matrix)

  • 이한주;김치경;김호수
    • 한국전산구조공학회논문집
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    • 제15권2호
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    • pp.271-279
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    • 2002
  • 본 연구에서는 횡강성 영향행렬을 이용한 최적설계의 효율성을 높이기 위해 각 층에서 층별 영향행렬을 구하는 계산모듈을 개발하고 가상하중법에 의한 민감도 해석을 수행한다. 아울러 최적설계결과를 실무에 직접 적용할 수 있도록 층별 횡강성 증대계수에 근거하여 횡하중 저항시스템의 부재단면크기를 재산정하는 방안을 강구한다. 이를 위해 단면 재산정 방안은 연속형과 이산형 단면설계법으로 나누어 고려되며, 단면특성과 단면치수와의 관계가 설정된다. 특히 강도구속조건에 대한 초기설계가 먼저 수행된 후 횡변위 구속조건을 초과하는 횡변위를 제어하는데 있어서 횡하중 저항 시스템만이 저항하도록 설계한다. 본 연구에서 제안된 고층건물의 횡변위 제어 및 단면 재산정 방안을 검토하기 위해 두 가지 형태의 45층 삼차원 구조물이 고려된다.

Vibration control parameters investigation of the Mega-Sub Controlled Structure System (MSCSS)

  • Limazie, Toi;Zhang, Xun'an;Wang, Xianjie
    • Earthquakes and Structures
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    • 제5권2호
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    • pp.225-237
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    • 2013
  • Excessive vibrations induced by earthquake excitation and wind load are an obstacle in design and construction of tall and super tall buildings. An innovative vibration control structure system (Mega-Sub Controlled Structure System-MSCSS) was recently proposed to further improve humans comfort and their safeties during natural disasters. Preliminary investigations were performed using a two dimensional equivalent simplified model, composed by 3 mega-stories. In this paper, a more reasonable and realistic scaled model is design to investigate the dynamical characteristics and controlling performances of this structure when subjected to strong earthquake motion. The control parameters of the structure system, such as the modulated sub-structures disposition; the damping coefficient ratio (RC); the stiffness ratio (RD); the mass ratio of the mega-structure and sub-structure (RM) are investigated and their optimal values (matched values) are obtained. The MSCSS is also compared with the so-called Mega-Sub Structure (MSS) regarding their displacement and acceleration responses when subjected to the same load conditions. Through the nonlinear time history analysis, the effectiveness and the feasibility of the proposed mega-sub controlled structure system (MSCSS) is demonstrated in reducing the displacement and acceleration responses and also improving human comfort under earthquake loads.

정적 탄소성 해석에 의한 고층 벽식 아파트의 수평내력 검토 (Evaluation of Lateral Load Resistance Capacity of a High-rise Shear Wall Apartment Based on Elasto-plastic Analaysis)

  • 전대한;강호근;조한욱;이정원
    • 한국지진공학회논문집
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    • 제2권4호
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    • pp.31-40
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    • 1998
  • 본 연구에서는 등가 정적 지진하중을 받는 고층 벽식구조물의 거동을 파악하고자 탄소성해석을 수행하고 극한 수평내력을 평가하였다 해석 대상 건물로 현재 국내에서 분양되고 있는 두세대로 이루어진 25층 고층벽식 아파트 평면 형식을 선정하였다 3차원 정적 탄소성 입체 해석 프로그램(CANNY)을 이용하여 벽식 아파트 건물의 층별 초기 탄성강성 항복후 항복강성, 종국 내력 등을 평가한다 정적 탄소성 해석결과 해석대상 해석대상 아파트 건물의 항복내력은 설계용 등가 정적 지진하중의 1.6배 정도의 여유를 가지고 있음을 보여준다.

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Size dependent torsional vibration of a rotationally restrained circular FG nanorod via strain gradient nonlocal elasticity

  • Busra Uzun;Omer Civalek;M. Ozgur Yayli
    • Advances in nano research
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    • 제16권2호
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    • pp.175-186
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    • 2024
  • Dynamical behaviors of one-dimensional (1D) nano-sized structures are of great importance in nanotechnology applications. Therefore, the torsional dynamic response of functionally graded nanorods which could be used to model the nano electromechanical systems or micro electromechanical systems with torsional motion about the center of twist is examined based on the theory of strain gradient nonlocal elasticity in this work. The mathematical background is constructed based on both strain gradient theory and Eringen's nonlocal elasticity theory. The equation of motions and boundary conditions of radially functionally graded nanorods are derived using Hamilton's principle and then transformed into the eigenvalue analysis by using Fourier sine series. A general coefficient matrix is obtained to assemble the Stokes' transformation. The case of a restrained functionally graded nanorod embedded in two elastic springs against torsional rotation is then deeply investigated. The effect of changing the functionally graded index, the stiffness of elastic boundary conditions, the length scale parameter and nonlocal parameter are investigated in detail.

Transient analysis of monopile foundations partially embedded in liquefied soil

  • Barari, Amin;Bayat, Mehdi;Saadati, Meysam;Ibsen, Lars Bo;Vabbersgaard, Lars Andersen
    • Geomechanics and Engineering
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    • 제8권2호
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    • pp.257-282
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    • 2015
  • In this study, the authors present a coupled fluid-structures-seabed interaction analysis of a monopile type of wind turbine foundations in liquefiable soils. A two dimensional analysis is performed with a nonlinear stiffness degradation model incorporated in the finite difference program Fast Lagrangian Analysis of Continua (FLAC), which captured the fundamental mechanisms of the monopiles in saturated granular soil. The effects of inertia and the kinematic flow of soil are investigated separately, to highlight the importance of considering the combined effect of these phenomena on the seismic design of offshore monopiles. Different seismic loads, such as those experienced in the Kobe, Santa Cruz, Loma Prieta, Kocaeli, and Morgan Hill earthquakes, are analyzed. The pore water pressure development, relative displacements, soil skeleton deformation and monopile bending moment are obtained for different predominant frequencies and peak accelerations. The findings are verified with results in the liter.