• 제목/요약/키워드: Inelastic analysis

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Efficacy of pushover analysis methodologies: A critical evaluation

  • Dutta, Sekhar Chandra;Chakroborty, Suvonkar;Raychaudhuri, Anusrita
    • Structural Engineering and Mechanics
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    • 제31권3호
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    • pp.265-276
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    • 2009
  • Various Pushover analysis methodologies have evolved as an easy as well as designers-friendly alternative of nonlinear dynamic analysis for estimation of the inelastic demands of structures under seismic loading for performance based design. In fact, the established nonlinear dynamic analysis to assess the same, demands considerable analytical and computational background and rigor as well as intuitive insight into inelastic behavior for judging suitability of the results and its interpretation and hence may not be used in design office for frequent practice. In this context, the simple and viable alternative of Pushover analysis methodologies can be accepted if its efficacy is thoroughly judged over all possible varieties of the problems. Though this burning issue has invited some research efforts in this direction, still a complete picture evolving very clear guidelines for use of these alternate methodologies require much more detailed studies, providing idea about how the accuracy is influenced due to various combinations of basic parameters regulating inelastic dynamic response of the structures. The limited study presented in the paper aims to achieve this end to the extent possible. The study intends to identify the range of applicability of the technique and compares the efficacy of various alternative Pushover analysis schemes to general class of problems. Thus, the paper may prove useful in judicial use of Pushover analysis methodologies for performance based design with reasonable accuracy and relative ease.

변동 축하중을 받는 중공 철근콘크리트 교각의 비탄성거동에 관한 해석적 연구 (Analytical Study on the Inelastic Behavior of Hollow Reinforced Concrete Bridge Columns under Varying Axial Load)

  • 김태훈;신현목
    • 한국지진공학회논문집
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    • 제10권4호
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    • pp.35-44
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    • 2006
  • 이 연구의 목적은 변동 축하중을 받는 중공 철근콘크리트 교각의 비탄성 거동을 파악하는데 있다. 변동 축하중은 연성도, 강도, 강성, 에너지 소산 등에 큰 영향을 미친다. 사용된 프로그램은 철근콘크리트 구조물의 해석을 위한 RCAHEST이다. 재료적 비선형성에 대해서는 균열콘크리트에 대한 인장, 압축, 전단모델과 콘크리트 속에 있는 철근모델을 조합하여 고려하였다. 이 연구에서는 변동 축하중을 받는 중공 철근콘크리트 교각의 비탄성 거동의 파악을 위해 제안한 해석기법을 신뢰성 있는 연구자의 실험결과와 비교하여 그 타당성을 검증하였다.

Earthquake effects on the energy demand of tall reinforced concrete walls with buckling-restrained brace outriggers

  • Beiraghi, Hamid
    • Structural Engineering and Mechanics
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    • 제63권4호
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    • pp.521-536
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    • 2017
  • Reinforced concrete core-wall structures with buckling-restrained brace outriggers are interesting systems which have the ability to absorb and dissipate energy during strong earthquakes. Outriggers can change the energy demand in a tall building. In this paper, the energy demand was studied by using the nonlinear time history analysis for the mentioned systems. First, the structures were designed according to the prescriptive codes. In the dynamic analysis, three approaches for the core-wall were investigated: single plastic hinge (SPH), three plastic hinge (TPH) and extended plastic hinge (EPH). For SPH approach, only one plastic hinge is allowed at the core-wall base. For TPH approach, three plastic hinges are allowed, one at the base and two others at the upper levels. For EPH approach, the plasticity can extend anywhere in the wall. The kinetic, elastic strain, inelastic and damping energy demand subjected to forward directivity near-fault and ordinary far-fault earthquakes were studied. In SPH approach for all near-fault and far-fault events, on average, more than 65 percent of inelastic energy is absorbed by buckling-restrained braces in outrigger. While in TPH and EPH approaches, outrigger contribution to inelastic energy demand is reduced. The contribution of outrigger to inelastic energy absorption for the TPH and EPH approaches does not differ significantly. The values are approximately 25 and 30 percent, respectively.

On the improvement of inelastic displacement demands for near-fault ground motions considering various faulting mechanisms

  • Esfahanian, A.;Aghakouchak, A.A.
    • Earthquakes and Structures
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    • 제9권3호
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    • pp.673-698
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    • 2015
  • This paper investigates inelastic seismic demands of the normal component of near-fault pulse-like ground motions, which differ considerably from those of far-fault ground motions and also parallel component of near-fault ones. The results are utilized to improve the nonlinear static procedure (NSP) called Displacement Coefficient Method (DCM). 96 near-fault and 20 far-fault ground motions and the responses of various single degree of freedom (SDOF) systems constitute the dataset. Nonlinear Dynamic Analysis (NDA) is utilized as the benchmark for comparison with nonlinear static analysis results. Considerable influences of different faulting mechanisms are observed on inelastic seismic demands. The demands are functions of the strength ratio and also the pulse period to structural period ratio. Simple mathematical expressions are developed to consider the effects of near-fault motion and fault type on nonlinear responses. Modifications are presented for the DCM by introducing a near-fault modification factor, $C_N$. In locations, where the fault type is known, the modifications proposed in this paper help to obtain a more precise estimate of seismic demands in structures.

Inelastic lateral-distortional buckling of continuously restrained rolled I-beams

  • Lee, Dong-Sik;Bradford, Mark A.
    • Steel and Composite Structures
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    • 제2권4호
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    • pp.297-314
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    • 2002
  • An energy method of analysis is presented which can be used to study the inelastic lateral-distortional buckling of hot-rolled I-sections continuously restrained at the level of the tension flange. The numerical modelling leads to the incremental and iterative solution of a fourth-order eigenproblem, with very rapid solutions being obtainable, so as to enable a study of the factors that influence the strength of continuously restained I-beams to be made. Although hot-rolled I-sections generally have stocky webs and are not susceptible to reductions in their overall buckling loads as a result of cross-sectional distortion, the effect of elastic restraints, particularly against twist rotation, can lead to buckling modes in which the effect of distortion is quite severe. While the phenomenon has been studied previously for elastic lateral-distortional buckling, it is extended in this paper to include the constitutive relationship characteristics of mild steel, and incorporates both the so-called 'polynomial' and 'simplified' models of residual stresses. The method is validated against inelastic lateral-torsional buckling solutions reported in previous studies, and is applied to illustrate some inelastic buckling problems. It is noted that over a certain range of member slenderness the provisions of the Australian AS4100 steel standard are unconservative.

An analytical model for shear links in eccentrically braced frames

  • Ashtari, Amir;Erfani, Saeed
    • Steel and Composite Structures
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    • 제22권3호
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    • pp.627-645
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    • 2016
  • When an eccentrically braced frame (EBF) is subjected to severe earthquakes, the links experience inelastic deformations while beams outside of the link, braces and columns are designed to remain elastic. To perform reliable inelastic analyses of EBFs sufficient analytical model which can accurately predict the inelastic performance of the links is needed. It is said in the literature that available analytical models for shear links generally predict very well the maximum shear forces and deformations from experiments on shear links, but may underestimate the intermediary values. In this study it is shown that available analytical models do not predict very well the maximum shear forces and deformations too. In this study an analytical model which can accurately predict both maximum and intermediary values of shear force and deformation is proposed. The model parameters are established based on test results from several experiments on shear links. Comparison of available test results with the hysteresis curves obtained using the proposed analytical model established the accuracy of the model. The proposed model is recommended to be used to perform inelastic analyses of EBFs.

할선강성을 이용한 직접비탄성내진설계 (Direct Inelastic Earthquake Design Using Secant Stiffness)

  • 박홍근;엄태성
    • 한국지진공학회논문집
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    • 제8권1호
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    • pp.17-27
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    • 2004
  • 본 연구에서는 할선강성을 사용하여 반복계산을 수행하는 새로운 내진설계법을 개발하였다. 개발한 설계법은 탄성해석을 수행하므로 수치해석의 안정성과 용이성을 갖추고 있으며, 동시에 반복계산으로 구조물의 비탄성 거동을 해석할 수 있으므로 각 부재의 강도 및 연성 요구량을 정확히 예측할 수 있다. 본 연구에서는 제안된 설계법의 절차를 정립하였고, 이를 고려한 컴퓨터 해석/설계 프로그램을 개발하였다. 또한, 제안된 설계법을 사용한 설계예제를 제시하였고, 탄성 혹은 비탄성 해석을 이용한 기존 설계법과의 비교를 통하여 그 장점을 검증하였다. 해석과 설계를 통합적으로 수행하는 제안된 설계법은 설계자의 의도에 따라 부재의 강도 및 연성능력, 강기둥-약보 등과 같은 내진설계전략을 효과적으로 구현할 수 있으며, 초기설계단계에서 각 부재의 크기만이 가정된 구조물에 대하여 반복계산을 수행함으로써 주어진 설계전략을 만족하는 비탄성 강도 및 연성 요구량을 직접적으로 계산할 수 있으므로, 경제적이고 안전한 내진설계가 가능하다.

비탄성변위비와 붕괴강도비를 이용한 MPA기반의 IDA 해석법 (MPA-based IDA Using the Inelastic Displacement ratio, CR and the Collapse Intensity, RC)

  • 한상환;석승욱;이태섭
    • 한국지진공학회논문집
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    • 제14권5호
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    • pp.33-39
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    • 2010
  • 본 연구는 Modal Pushover Analysis(MPA)를 기반으로 비탄성 변위비(inelastic displacement ratio, $C_R$)와 붕괴 강도비(collapse strength ratio, $R_C$)를 이용한 간략한 Incremental Dynamic Analysis (IDA) 해석법을 제안해 냈다. 이 해석법은 선형 또는 비선형 동적해석 수행 없이 다자유도 시스템의 응답을 계산하기 때문에 간단하게 IDA곡선을 얻을 수 있다. 제안한 방법의 정확성은 6층, 9층, 20층의 철골 모멘트 골조를 대상으로 44개의 지진데이터를 사용하였으며 본 연구에서 제안하는 MPA를 이용한 $C_R-R_C$ IDA 해석결과와 비선형 동적해석 (Nonlinear Response History Analysis)을 통한 IDA 응답값, 그리고 각 주요모드의 비선형 동적해석을 통한 MPA-IDA 응답 값을 비교하여 타당성을 확인하였다. MPA를 이용한 $C_R-R_C$ IDA 해석법은 반복된 비선형 동적해석 과정이 없기 때문에 계산시 소요시간이 가장 작았으며 비교적 정확한 결과를 나타냈다.

참조응력법에 입각한 T-배관 국부 크리프 파단 평가를 위한 응력해석 사례연구 (Reference Stress Based Stress Analysis for Local Creep Rupture of a T-pipe)

  • 신규인;윤기봉;김윤재
    • 대한기계학회논문집A
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    • 제30권8호
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    • pp.873-879
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    • 2006
  • To investigate applicability of the reference stress approach as simplified inelastic stress analysis to estimate local creep rupture, detailed finite element stress analyses of a T-piece pipe with different inner pressure and system loading levels are performed. The reference stresses are obtained from the finite element (FE) limit analysis based on elastic-perfectly-plastic materials, from which the local reference stress for creep rupture is determined from R5. The resulting inelastic stresses are compared with elastic stresses resulting from linear elastic FE calculations. Furthermore they are also compared with the stresses from full elastic-creep FE analyses. It shows that the stresses estimated from the reference stress approach compare well with those from full elastic-creep FE analysis, which are significantly lower than the elastic stress results. Considering time and efforts for full inelastic creep analysis of structures, the reference stress approach is shown to be a powerful tool for creep rupture estimates and also to reduce conservatism of elastic stress analysis significantly.

Seismic design of irregular space steel frames using advanced methods of analysis

  • Vasilopoulos, A.A.;Bazeos, N.;Beskos, D.E.
    • Steel and Composite Structures
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    • 제8권1호
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    • pp.53-83
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    • 2008
  • A rational and efficient seismic design methodology for irregular space steel frames using advanced methods of analysis in the framework of Eurocodes 8 and 3 is presented. This design methodology employs an advanced static or dynamic finite element method of analysis that takes into account geometrical and material non-linearities and member and frame imperfections. The inelastic static analysis (pushover) is employed with multimodal load along the height of the building combining the first few modes. The inelastic dynamic method in the time domain is employed with accelerograms taken from real earthquakes scaled so as to be compatible with the elastic design spectrum of Eurocode 8. The design procedure starts with assumed member sections, continues with the checking of the damage and ultimate limit states requirements, the serviceability requirements and ends with the adjustment of member sizes. Thus it can sufficiently capture the limit states of displacements, rotations, strength, stability and damage of the structure and its individual members so that separate member capacity checks through the interaction equations of Eurocode 3 or the usage of the conservative and crude q-factor suggested in Eurocode 8 are not required. Two numerical examples dealing with the seismic design of irregular space steel moment resisting frames are presented to illustrate the proposed method and demonstrate its advantages. The first considers a seven storey geometrically regular frame with in-plan eccentricities, while the second a six storey frame with a setback.