• 제목/요약/키워드: Plane frame analysis

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Static and dynamic stability of cracked multi-storey steel frames

  • Sabuncu, Mustafa;Ozturk, Hasan;Yashar, Ahmed
    • Structural Engineering and Mechanics
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    • 제58권1호
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    • pp.103-119
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    • 2016
  • Multi-storey frame structures are frequently exposed to static and dynamic forces. Therefore analyses of static (buckling) and dynamic stability come into prominence for these structures. In this study, the effects of number of storey, static and dynamic load parameters, crack depth and crack location on the in-plane static and dynamic stability of cracked multi-storey frame structures subjected to periodic loading have been investigated numerically by using the Finite Element Method. A crack element based on the Euler beam theory is developed by using the principles of fracture mechanics. The equation of motion for the cracked multi-storey frame subjected to periodic loading is achieved by Lagrange's equation. The results obtained from the stability analysis are presented in three dimensional graphs and tables.

Element loss analysis of concentrically braced frames considering structural performance criteria

  • Rezvani, Farshad Hashemi;Asgarian, Behrouz
    • Steel and Composite Structures
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    • 제12권3호
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    • pp.231-248
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    • 2012
  • This research aims to investigate the structural behavior of concentrically braced frames after element loss by performing nonlinear static and dynamic analyses such as Time History Analysis (THA), Pushdown Analysis (PDA), Vertical Incremental Dynamic Analyses (VIDA) and Performance-Based Analysis (PBA). Such analyses are to assess the potential and capacity of this structural system for occurrence of progressive collapse. Besides, by determining the Failure Overload Factors (FOFs) and associated failure modes, it is possible to relate the results of various types of analysis in order to save the analysis time and effort. Analysis results showed that while VIDA and PBA according to FEMA 356 are mostly similar in detecting failure mode and FOFs, the Pushdown Overload Factors (PDOFs) differ from others at most to the rate of 23%. Furthermore, by sensitivity analysis it was observed that among the investigated structures, the eight-story frame had the most FOF. Finally, in this research the trend of FOF and the FOF to critical member capacity ratio for the plane split-X braced frames were introduced as a function of the number of frame stories.

A variable layering system for nonlinear analysis of reinforced concrete plane frames

  • Shuraim, Ahmed B.
    • Structural Engineering and Mechanics
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    • 제11권1호
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    • pp.17-34
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    • 2001
  • An improved method has been developed for the computation of the section forces and stiffness in nonlinear finite element analysis of RC plane frames. The need for a new approach arises because the conventional technique may have a questionable level of efficiency if a large number of layers is specified and a questionable level of accuracy if a smaller number is used. The proposed technique is based on automatically dividing the section into zones of similar state of stress and tangent modulus and then numerically integrating within each zone to evaluate the sectional stiffness parameters and forces. In the new system, the size, number and location of the layers vary with the state of the strains in the cross section. The proposed method shows a significant improvement in time requirement and accuracy in comparison with the conventional layered approach. The computer program based on the new technique has been used successfully to predict the experimental load-deflection response of a RC frame and good agreement with test and other numerical results have been obtained.

Modal parameter identification of in-filled RC frames with low strength concrete using ambient vibration

  • Arslan, Mehmet E.;Durmus, Ahmet
    • Structural Engineering and Mechanics
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    • 제50권2호
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    • pp.137-149
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    • 2014
  • In this study, modal parameters such as natural frequencies, mode shapes and damping ratios of RC frames with low strength are determined for different construction stages using ambient vibration test. For this purpose full scaled, one bay and one story RC frames are produced and tested for plane, brick in-filled and brick in-filled with plaster conditions. Measurement time, frequency span and effective mode number are determined by considering similar studies and literature. To obtain experimental dynamic characteristics, Enhanced Frequency Domain Decomposition and Stochastic Subspace Identification techniques are used together. It is shown that the ambient vibration measurements are enough to identify the most significant modes of RC frames. The results indicate that modal parameters change significantly depending on the construction stages. In addition, Infill walls increase stiffness and change the mode shapes of the RC frame. There is a good agreement between mode shapes obtained from brick in-filled and in-filled with plaster conditions. However, some differences are seen in plane frame, like expected. Dynamic characteristics should be verified using finite element analysis. Finally, inconsistency between experimental and analytical dynamic characteristics should be minimize by finite element model updating using some uncertain parameters such as material properties, boundary condition and section properties to reflect the current behavior of the RC frames.

Numerical simulation of soil-structure interaction in framed and shear-wall structures

  • Dalili, M.;Alkarni, A.;Noorzaei, J.;Paknahad, M.;Jaafar, M.S.;Huat, B.B.K.
    • Interaction and multiscale mechanics
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    • 제4권1호
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    • pp.17-34
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    • 2011
  • This paper deals with the modeling of the plane frame structure-foundation-soil system. The superstructure along with the foundation beam is idealized as beam bending elements. The soil medium near the foundation beam with stress concentrated is idealized by isoparametric finite elements, and infinite elements are used to represent the far field of the soil media. This paper presents the modeling of shear wall structure-foundation and soil system using the optimal membrane triangular, super and conventional finite elements. Particularly, an alternative formulation is presented for the optimal triangular elements aimed at reducing the programming effort and computational cost. The proposed model is applied to a plane frame-combined footing-soil system. It is shown that the total settlement obtained from the non-linear interactive analysis is about 1.3 to 1.4 times that of the non-interactive analysis. Furthermore, the proposed model was found to be efficient in simulating the shear wall-foundation-soil system, being able to yield results that are similar to those obtained by the conventional finite element method.

내진 상세 철근콘크리트 골조의 비탄성 거동에 관한 해석적 연구 (Analytic Investigation on Inelastic Behavior of Reinforced Concrete Frame with Seismic Detail)

  • 박철용;이한선;김상대
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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    • pp.466-472
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    • 1996
  • The nonlinear analysis was perforned for a 2-bay 2-story moment-resisting reinforced concrete plane frame with seismic detail using KDARC 2D program. The analytical models consist of the material model, the member model, the hysteretic model, and the damage model etc. The conclusion based on the results of analysis is as following. : (1) Story shear-displacement relationship is similar to the experiment result but from the energy point of view, the analysis relationship is similar to the experiment result but from the energy point of view, the analysis result was different from the experiment result. (2) Plastic hinges were found to occur mainly in beams at first story while all the columns had plastic hinges throughout the structure. (3) Failure mode is a little different from experiment result in the yielding mechanism. (4) Damage index isabout 0.25. This means that the degree of damage is moderate and can be repairable.

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탄성 및 비탄성 좌굴 고유치해석을 이용한 강뼈대구조의 유효좌굴길이 (Determination of Effective Buckling Length of Plane Frames using Elastic and Inelastic System Buckling Analysis)

  • 송주영;경용수;김문영
    • 한국전산구조공학회논문집
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    • 제18권2호
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    • pp.169-179
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    • 2005
  • 탄성 및 비탄성좌굴 고유치해석법을 이용하여 강절프레임의 보-기둥부재의 유효좌굴길이를 산정하는 개선된 방법을 제시한다. 이를 위하여 먼저 설계기준에 제시된 압축재의 내하력 곡선식으로부터 접선계수이론(tangent modulus theory)에 근거하여 세장비-접선계수(tangent modulus), 응력-변형률 곡선식을 유도한다. 이때 안정함수를 이용하여 보-기둥요소의 접선강성행렬을 얻고, 비탄성 좌굴 고유치해석법을 제시하며 이를 이용하여 유효좌굴길이를 산정하는 방법을 제시한다. 해석예제를 통하여 강절프레임에 탄성 및 비탄성좌굴해석법에 의한 유효좌굴길이 비교결과를 제시하고, 매개변수 연구 결과를 제시한다.

Performance based optimal seismic retrofitting of yielding plane frames using added viscous damping

  • Lavan, O.;Levy, R.
    • Earthquakes and Structures
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    • 제1권3호
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    • pp.307-326
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    • 2010
  • This paper is concerned with the optimal seismic design of added viscous dampers in yielding plane frames. The total added damping is minimized for allowable values of local performance indices under the excitation of an ensemble of ground motions in both regular and irregular structures. The local performance indices are taken as the maximal inter-story drift of each story and/or the normalized hysteretic energy dissipated at each of the plastic hinges. Gradients of the constraints with respect to the design variables (damping coefficients) are derived, via optimal control theory, to enable an efficient first order optimization scheme to be used for the solution of the problem. An example of a ten story three bay frame is presented. This example reveals the following 'fully stressed characteristics' of the optimal solution: damping is assigned only to stories for which the local performance index has reached the allowable value. This may enable the application of efficient and practical analysis/redesign type methods for the optimal design of viscous dampers in yielding plane frames.

평면(平面) Frame의 최적소성설계(最適塑性設計) (Optimal Plastic Design of Planar Frames)

  • 임상전;황선희
    • 대한조선학회지
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    • 제17권2호
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    • pp.1-10
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    • 1980
  • The optimal plastic design of framed structures has been treated as the minimum weight design while satisfying the limit equilibrium condition that the structure may not fail in any of the all possible collapse modes before the specified design ultimate load is reached. Conventional optimum frame designs assume that a continuous spectrum of member size is available. In fact, the vailable sections merely consist of a finite range of discrete member sizes. Optimum frame design using discrete sections has been performed by adopting the plastic collapse theory and using the Complex Method of Box. This study has presented an iterative approach to the optimal plastic design of plane structures that involves the performance of a series of minimum weight design where the limit equilibrium equation pertaining to the critical collapse mode is added to the constraint set for the next design. The critical collapse mode is found by the collapse load analysis that is formulated as a linear programming problem. This area of research is currently being studied. This study would be applied and extended to design the larger and more complex framed structures.

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Progressive Collapse of Exterior Reinforced Concrete Beam-Column Sub-assemblages: Considering the Effects of a Transverse Frame

  • Rashidian, Omid;Abbasnia, Reza;Ahmadi, Rasool;Nav, Foad Mohajeri
    • International Journal of Concrete Structures and Materials
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    • 제10권4호
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    • pp.479-497
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    • 2016
  • Many experimental studies have evaluated the in-plane behavior of reinforced concrete frames in order to understand mechanisms that resist progressive collapse. The effects of transverse beams, frames and slabs often are neglected due to their probable complexities. In the present study, an experimental and numerical assessment is performed to investigate the effects of transverse beams on the collapse behavior of reinforced concrete frames. Tests were undertaken on a 3/10-scale reinforced concrete sub-assemblage, consisting of a double-span beam and two end columns within the frame plane connected to a transverse frame at the middle joint. The specimen was placed under a monotonic vertical load to simulate the progressive collapse of the frame. Alternative load paths, mechanism of formation and development of cracks and major resistance mechanisms were compared with a two-dimensional scaled specimen without a transverse beam. The results demonstrate a general enhancement in resistance mechanisms with a considerable emphasis on the flexural capacity of the transverse beam. Additionally, the role of the transverse beam in restraining the rotation of the middle joint was evident, which in turn leads to more ductile behavior. A macro-model was also developed to further investigate progressive collapse in three dimensions. Along with the validated numerical model, a parametric study was undertaken to investigate the effects of the removed column location and beam section details on the progressive collapse behavior.