• 제목/요약/키워드: Global Stiffness

검색결과 288건 처리시간 0.019초

Free vibrations of a two-cable network inter-supported by cross-links extended to ground

  • Zhou, H.J.;Wu, Y.H.;Li, L.X.;Sun, L.M.;Xing, F.
    • Smart Structures and Systems
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    • 제23권6호
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    • pp.653-667
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    • 2019
  • Using cross-ties to connect cables together when forming a cable network is regarded as an efficient method of mitigating cable vibrations. Cross-ties have been extended and fixed on bridge decks or towers in some engineering applications. However, the dynamics of this kind of system need to be further studied, and the effects of extending cross-links to bridge decks/towers on the modal response of the system should be assessed in detail. In this paper, a system of two cables connected by an inter-supported cross-link with another lower cross-link extended to the ground is proposed and analyzed. The characteristic equation of the system is derived, and some limiting solutions in closed form of the system are derived. Roots of cable system with special configurations are also discussed, attention being given to the case when the two cables are identical. A predictable mode behavior was found when the stiffness of inter-connection cross-link and the cross-link extended to the ground were the same. The vector of mode energy distribution and the degree of mode localization index are proposed so as to distinguish global and local modes. The change of mode behaviors is further discussed in the case when the two cables are not identical. Effects of cross-link stiffness, cross-link location, mass-tension ratio, cable length ratio and frequency ratio on $1^{st}$ mode frequency and mode shape are addressed.

1:5 축소 10층 벽식 RC 공동주택 모델의 진동대실험 응답에 대한 해석적 모사 (Analytical Simulation of Shake-Table Responses of a 1:5 Scale 10-story Wall-type RC Residential Building Model)

  • 이한선;정다훈;황경란
    • 한국전산구조공학회논문집
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    • 제24권6호
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    • pp.617-627
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    • 2011
  • 본 논문은 기 수행된 1:5축소 10층 RC 공동주택의 지진모의 실험결과에 비추어 근래 개발된 PERFORM-3D를 이용하여 해석적 모사를 시도하였다. 해석과 실험의 상관관계 분석에 의해 다음과 같은 결론을 얻었다. (1) 재현주기 50년 지진에 대해 실험과 해석이 매우 유사한 탄성거동을 보였다. 반면 우리나라의 설계지진과 최대지진에 대해서는 비선형 거동을 보이긴 하지만 실험의 최대응답과 강성 및 강도 저하를 제대로 모사하지 못하였다. 이의 주된 이유는 슬라브 거동을 탄성으로 가정하였기 때문이라고 판단된다. (2) 탄성영역 거동에 대해 해석모델이 전체 거동을 비교적 잘 모사하는 반면, 벽체 상호간에 걸친 힘의 분포에 있어서 실험과 상당한 차이를 보여주었다. (3) 최대지진에서 벽체의 전단변형은 비교적 잘 모사한 반면 휨변형의 경우 10배정도 과장되었다. 이는 일부 해석모델에서 인방보를 무시한 결과로 추정된다.

불확실한 온도 조건하의 PSC 거더 교량의 가속도-임피던스기반 손상 모니터링 (Damage Monitoring of PSC Girder Bridges based on Acceleration -Impedance Signals under Uncertain Temperature Conditions)

  • 홍동수;김정태
    • 한국전산구조공학회논문집
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    • 제24권1호
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    • pp.107-117
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    • 2011
  • 본 논문에서는 PSC 거더 교량의 가속도-임피던스 응답 특성을 이용하는 손상 모니터링에 있어 온도유발 불확실성의 영향을 분석하였다. 먼저, 전역적 및 국부 진동 특성을 이용한 손상 모니터링 기법을 설계하였다. 전역적 및 국부 특성으로 각각 가속도 및 전기-역학적 임피던스 특성을 선정하였다. 다음으로 모형 PSC 거더 교량을 이용하여 온도유발 가속도-임피던스 응답 특성을 실험적으로 분석하였다. 실험 결과로부터 온도-가속도 및 온도-임피던스 응답 특징들에 대한 보정식을 산출하였다. 마지막으로 긴장력 감소 및 휨 강성 저하 경우들이 실험된 모형 PSC 거더를 대상으로 산출된 보정식을 이용한 가속도-임피던스기반 손상 모니터링 기법의 유용성이 평가되었다.

Behavior of stiffened and unstiffened CFT under concentric loading, An experimental study

  • Deifalla, Ahmed F.;Fattouh, Fattouh M.;Fawzy, Mona M.;Hussein, Ibrahim S.
    • Steel and Composite Structures
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    • 제33권6호
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    • pp.793-803
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    • 2019
  • Concrete-filled steel tubular (CFST) beam-columns are widely used owing to their good performance. They have high strength, ductility, large energy absorption capacity and low costs. Externally stiffened CFST beam-columns are not used widely due to insufficient design equations that consider all parameters affecting their behavior. Therefore, effect of various parameters (global, local slenderness ratio and adding hoop stiffeners) on the behavior of CFST columns is studied. An experimental study that includes twenty seven specimens is conducted to determine the effect of those parameters. Load capacities, vertical deflections, vertical strains and horizontal strains are all recorded for every specimen. Ratio between outer diameter (D) of pipes and thickness (t) is chosen to avoid local buckling according to different limits set by codes for the maximum D/t ratio. The study includes two loading methods on composite sections: steel only and steel with concrete. The case of loading on steel only, occurs in the connection zone, while the other load case occurs in steel beam connecting externally with the steel column wall. Two failure mechanisms of CFST columns are observed: yielding and global buckling. At early loading stages, steel wall in composite specimens dilated more than concrete so no full bond was achieved which weakened strength and stiffness of specimens. Adding stiffeners to the specimens increases the ultimate load by up to 25% due to redistribution of stresses between stiffener and steel column wall. Finally, design equations previously prepared are verified and found to be only applicable for medium and long columns.

Seismic response of 3D steel buildings with hybrid connections: PRC and FRC

  • Reyes-Salazar, Alfredo;Cervantes-Lugo, Jesus Alberto;Barraza, Arturo Lopez;Bojorquez, Eden;Bojorquez, Juan
    • Steel and Composite Structures
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    • 제22권1호
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    • pp.113-139
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    • 2016
  • The nonlinear seismic responses of steel buildings with perimeter moment resisting frames (PMRF) and interior gravity frames (IGF) are estimated, modeling the interior connections first as perfectly pinned (PPC), and then as partially restrained (PRC). Two 3D steel building models, twenty strong motions and three levels of the PRC rigidity, which are represented by the Richard Model and the Beam Line Theory, are considered. The RUAUMOKO Computer Program is used for the required time history nonlinear dynamic analysis. The responses can be significantly reduced when interior connections are considered as PRC, confirming what observed in experimental investigations. The reduction significantly varies with the strong motion, story, model, structural deformation, response parameter, and location of the structural element. The reduction is larger for global than for local response parameters; average reductions larger than 30% are observed for shears and displacements while they are about 20% for bending moments. The reduction is much larger for medium- than for low-rise buildings indicating a considerable influence of the structural complexity. It can be concluded that, the effect of the dissipated energy at PRC should not be neglected. Even for connections with relative small stiffness, which are usually idealized as PPC, the reduction can be significant. Thus, PRC can be used at IGF of steel buildings with PMRF to get more economical construction, to reduce the seismic response and to make steel building more seismic load tolerant. Much more research is needed to consider other aspects of the problem to reach more general conclusions.

Influence of end fixity on post-yield behaviors of a tubular member

  • Cho, Kyu Nam
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.557-568
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    • 2002
  • For the evaluation of the capability of a tubular member of an offshore structure to absorb the collision energy, a simple method can be employed for the collision analysis without performing the detailed analysis. The most common simple method is the rigid-plastic method. However, in this method any characteristics for horizontal movement and rotation at the ends of the corresponding tubular member are not included. In a real structural system of an offshore structure, tubular members sustain a certain degree of elastic support from the adjacent structure. End fixity has influences in the behaviors of a tubular member. Three-dimensional FEM analysis can include the effect of end fixity fully, however in viewpoints of the inherent computational complexities of the 3-D approach, this is not the recommendable analysis at the initial design stage. In this paper, influence of end fixity on the behaviors of a tubular member is investigated, through a new approach and other approaches. A new analysis approach that includes the flexibility of the boundary points of the member is developed here. The flexibility at the ends of a tubular element is extracted using the rational reduction of the modeling characteristics. The property reduction is based on the static condensation of the related global stiffness matrix of a model to end nodal points of the tubular element. The load-displacement relation at the collision point of the tubular member with and without the end flexibility is obtained and compared. The new method lies between the rigid-plastic method and the 3-demensional analysis. It is self-evident that the rigid-plastic method gives high strengthening membrane effect of the member during global deformation, resulting in a steeper slope than the present method. On the while, full 3-D analysis gives less strengthening membrane effect on the member, resulting in a slow going load-displacement curve. Comparison of the load-displacement curves by the new approach with those by conventional methods gives the figures of the influence of end fixity on post-yielding behaviors of the relevant tubular member. One of the main contributions of this investigation is the development of an analytical rational procedure to figure out the post-yielding behaviors of a tubular member in offshore structures.

Structural identification of Humber Bridge for performance prognosis

  • Rahbari, R.;Niu, J.;Brownjohn, J.M.W.;Koo, K.Y.
    • Smart Structures and Systems
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    • 제15권3호
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    • pp.665-682
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    • 2015
  • Structural identification or St-Id is 'the parametric correlation of structural response characteristics predicted by a mathematical model with analogous characteristics derived from experimental measurements'. This paper describes a St-Id exercise on Humber Bridge that adopted a novel two-stage approach to first calibrate and then validate a mathematical model. This model was then used to predict effects of wind and temperature loads on global static deformation that would be practically impossible to observe. The first stage of the process was an ambient vibration survey in 2008 that used operational modal analysis to estimate a set of modes classified as vertical, torsional or lateral. In the more recent second stage a finite element model (FEM) was developed with an appropriate level of refinement to provide a corresponding set of modal properties. A series of manual adjustments to modal parameters such as cable tension and bearing stiffness resulted in a FEM that produced excellent correspondence for vertical and torsional modes, along with correspondence for the lower frequency lateral modes. In the third stage traffic, wind and temperature data along with deformation measurements from a sparse structural health monitoring system installed in 2011 were compared with equivalent predictions from the partially validated FEM. The match of static response between FEM and SHM data proved good enough for the FEM to be used to predict the un-measurable global deformed shape of the bridge due to vehicle and temperature effects but the FEM had limited capability to reproduce static effects of wind. In addition the FEM was used to show internal forces due to a heavy vehicle to to estimate the worst-case bearing movements under extreme combinations of wind, traffic and temperature loads. The paper shows that in this case, but with limitations, such a two-stage FEM calibration/validation process can be an effective tool for performance prognosis.

A hybrid identification method on butterfly optimization and differential evolution algorithm

  • Zhou, Hongyuan;Zhang, Guangcai;Wang, Xiaojuan;Ni, Pinghe;Zhang, Jian
    • Smart Structures and Systems
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    • 제26권3호
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    • pp.345-360
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    • 2020
  • Modern swarm intelligence heuristic search methods are widely applied in the field of structural health monitoring due to their advantages of excellent global search capacity, loose requirement of initial guess and ease of computational implementation etc. To this end, a hybrid strategy is proposed based on butterfly optimization algorithm (BOA) and differential evolution (DE) with purpose of effective combination of their merits. In the proposed identification strategy, two improvements including mutation and crossover operations of DE, and dynamic adaptive operators are introduced into original BOA to reduce the risk to be trapped in local optimum and increase global search capability. The performance of the proposed algorithm, hybrid butterfly optimization and differential evolution algorithm (HBODEA) is evaluated by two numerical examples of a simply supported beam and a 37-bar truss structure, as well as an experimental test of 8-story shear-type steel frame structure in the laboratory. Compared with BOA and DE, the numerical and experimental results show that the proposed HBODEA is more robust to detect the reduction of stiffness with limited sensors and contaminated measurements. In addition, the effect of search space, two dynamic operators, population size on identification accuracy and efficiency of the proposed identification strategy are further investigated.

On the local stability condition in the planar beam finite element

  • Planinc, Igor;Saje, Miran;Cas, Bojan
    • Structural Engineering and Mechanics
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    • 제12권5호
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    • pp.507-526
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    • 2001
  • In standard finite element algorithms, the local stability conditions are not accounted for in the formulation of the tangent stiffness matrix. As a result, the loss of the local stability is not adequately related to the onset of the global instability. The phenomenon typically arises with material-type localizations, such as shear bands and plastic hinges. This paper addresses the problem in the context of the planar, finite-strain, rate-independent, materially non-linear beam theory, although the proposed technology is in principle not limited to beam structures. A weak formulation of Reissner's finite-strain beam theory is first presented, where the pseudocurvature of the deformed axis is the only unknown function. We further derive the local stability conditions for the large deformation case, and suggest various possible combinations of the interpolation and numerical integration schemes that trigger the simultaneous loss of the local and global instabilities of a statically determined beam. For practical applications, we advice on a procedure that uses a special numerical integration rule, where interpolation nodes and integration points are equal in number, but not in locations, except for the point of the local instability, where the interpolation node and the integration point coalesce. Provided that the point of instability is an end-point of the beam-a condition often met in engineering practice-the procedure simplifies substantially; one of such algorithms uses the combination of the Lagrangian interpolation and Lobatto's integration. The present paper uses the Galerkin finite element discretization, but a conceptually similar technology could be extended to other discretization methods.

스파이럴 파이프 네일링 시스템의 안정해석 및 적용성에 관한 연구 (A Study on Application and Stability Analysis of Spiral Pipe Nailing System)

  • 박시삼;박성철;정성필;김홍택
    • 한국지반환경공학회 논문집
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    • 제5권2호
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    • pp.41-49
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    • 2004
  • 본 연구에서는 네일 삽입을 위한 천공작업 후, 공벽유지가 어려운 사질토 지반에 비교적 유리하게 적용할 수 있는 자천공방식의 스파이럴 파이프 네일링(SPN, Spiral Pipe Nailing) 시스템을 소개하고, 네일의 인장력 및 강성을 고려하여 안정성 평가를 하기위해 길이비($R_L$) 및 정착비($R_B$)를 다양하게 변화시켜가면서 간편시행쐐기법을 이용하여 한계평형해석을 수행하였다. 또한 FDM 수치해석 프로그램인 $FLAC^{2D}$ Ver. 3.30 프로그램을 사용하여, SPN 시스템 및 일반 쏘일네일링(GSN, General Soil Nailing) 시스템을 비교 평가하였다. 아울러 천공방법과 비트장착 등 SPN 시스템의 설계와 관련된 여러 인자에 대한 효과를 평가하기 위해, 6회의 변위제어방식 현장인발시험을 수행하였으며, 이를 토대로 SPN 시스템의 단기 인발거동특성을 평가해 보았다. 그 결과 SPN 시스템의 경우, GSN 시스템에 비해 강성, 인장강도 및 단위주면마찰력이 크게 발휘되므로, 전체안정성 측면에서 GSN 시스템에 비해 우수한 것으로 나타났다. 또한 강성을 고려한 간편시행쐐기법의 안정해석 결과를 살펴보면, 상용 한계평형해석 프로그램인 TALREN 97 프로그램의 안정해석 결과와 유사한 것으로 나타났다. 아울러 $FLAC^{2D}$ Ver. 3.30 프로그램 수치해석 결과를 살펴보면, SPN 시스템에서 유발되는 횡방향 변위의 경우, GSN 시스템에 비해, 10% 정도 감소하는 것으로 나타났다.

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