• 제목/요약/키워드: Nonlinear Static Procedure

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Numerical investigation of RC structural walls subjected to cyclic loading

  • Cotsovos, D.M.;Pavlovic, M.N.
    • Computers and Concrete
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    • 제2권3호
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    • pp.215-238
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    • 2005
  • This work is based on a nonlinear finite-element model with proven capacity for yielding realistic predictions of the response of reinforced-concrete structures under static monotonically-increasing loading. In it, the material description relies essentially on the two key properties of triaxiality and brittleness and, thus, is simpler than those of most other material models in use. In this article, the finite-element program is successfully used in investigating the behaviour of a series of RC walls under static cyclic loading. This type of loading offers a more strenuous test of the validity of the proposed program since cracks continuously form and close during each load cycle. Such a test is considered to be essential before attempting to use the program for the analysis of concrete structures under seismic excitation in order to ensure that the solution procedure adopted is numerically stable and can accurately predict the behaviour of RC structures under such earthquake-loading conditions. This is achieved through a comparative study between the numerical predictions obtained presently from the program and available experimental data.

내진 설계를 위한 에너지 소산량 산정법의 활용 (Application of Energy Dissipation Capacity to Earthquake Design)

  • 임혜정;박홍근;엄태성
    • 한국지진공학회논문집
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    • 제7권6호
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    • pp.109-117
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    • 2003
  • 기존의 비선형 정적 및 동적 해석에서는 철근콘크리트 구조물의 에너지 소산능력을 정확히 고려하지 못하고 있다. 최근 연구에서는 휨지배 철근콘크리트 부재의 에너지 소산능력을 정확히 평가할 수 있는 식이 개발되었으며, 본 연구에서는 이 평가방법을 이용하여 에너지 소산능력을 정확히 고려할 수 있는 비선형 정적 및 동적 해석 방법을 개발하였다. 비선형 정적 해석을 위하여 에너지 스펙트럼 곡선을 개발하고 이를 적용하여 능력스펙트럼법을 개선하였으며, 또한 비선형 동적 해석을 위하여 철근콘크리트 부재의 단순화된 에너지 기초 주기거동모델을 개발하였다. 제안된 모델은 부재의 강성에 기초한 기존의 주기거동모델과는 달리 완전한 주기거동 발생시 소산되는 에너지를 정확하게 반영할 수 있다. 본 연구에서는 제안된 방법에 따라 비선형 정적 및 동적 해석법의 절차를 정립하였으며 이를 적용한 컴퓨터 해석 프로그램을 개발하였다. 제안된 해석 방법은 부재의 단면형태, 철근비, 배근형태 등 설계 변수에 따른 에너지 소산능력을 정확하게 고려하고 지진발생시 에너지 소산능력이 구조물의 성능에 미치는 효과를 반영할 수 있다.

국내 철골골조의 접합부모델에 따른 내진성능 비교 (Comparison of Seismic Performance of Steel Moment Frame according to Different Analytic Joint Models)

  • 이준석;한상환;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.317-323
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    • 2000
  • The purpose of this study is to compare the seismic resistant capacity inherent in ductile moment resisting frames using two different joint modeling. The difference between these two models is the capability for considering the panel zone deformation. For this purpose, 5 story steel moment frame is designed in compliance to the Korean seismic design provisions and the steel structure design standard. Nonlinear Static Procedure(NSP) and Nonlinear Dynamic Procedure(NDP) of this structure are carried out using two different joint models. Based on the results of NSP and NDP, the sensitivity of the response to analytical modeling is appraised. Also, it is proposed that for the highrise steel structures, the joint deformation should be accounted properly by the analytical model.

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Simplified procedure for seismic demands assessment of structures

  • Chikh, Benazouz;Mehani, Youcef;Leblouba, Moussa
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.455-473
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    • 2016
  • Methods for the seismic demands evaluation of structures require iterative procedures. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformations and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the Performance-Based Seismic Design (PBSD) through Capacity-Spectrum Method (CSM). For instance, the Modal Pushover Analysis (MPA) has been proved to provide accurate results for inelastic buildings to a similar degree of accuracy than the Response Spectrum Analysis (RSA) in estimating peak response for elastic buildings. In this paper, a simplified nonlinear procedure for evaluation of the seismic demand of structures is proposed with its applicability to multi-degree-of-freedom (MDOF) systems. The basic concept is to write the equation of motion of (MDOF) system into series of normal modes based on an inelastic modal decomposition in terms of ductility factor. The accuracy of the proposed procedure is verified against the Nonlinear Time History Analysis (NL-THA) results and Uncoupled Modal Response History Analysis (UMRHA) of a 9-story steel building subjected to El-Centro 1940 (N/S) as a first application. The comparison shows that the new theoretical approach is capable to provide accurate peak response with those obtained when using the NL-THA analysis. After that, a simplified nonlinear spectral analysis is proposed and illustrated by examples in order to describe inelastic response spectra and to relate it to the capacity curve (Pushover curve) by a new parameter of control, called normalized yield strength coefficient (${\eta}$). In the second application, the proposed procedure is verified against the NL-THA analysis results of two buildings for 80 selected real ground motions.

Complementarity and nonlinear structural analysis of skeletal structures

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.491-505
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    • 1997
  • This paper deals with the formulation and solution of a wide class of structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear "residuals". One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure.

On the progressive collapse resistant optimal seismic design of steel frames

  • Hadidi, Ali;Jasour, Ramin;Rafiee, Amin
    • Structural Engineering and Mechanics
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    • 제60권5호
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    • pp.761-779
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    • 2016
  • Design of safe structures with resistance to progressive collapse is of paramount importance in structural engineering. In this paper, an efficient optimization technique is used for optimal design of steel moment frames subjected to progressive collapse. Seismic design specifications of AISC-LRFD code together with progressive collapse provisions of UFC are considered as the optimization constraints. Linear static, nonlinear static and nonlinear dynamic analysis procedures of alternate path method of UFC are considered in design process. Three design examples are solved and the results are discussed. Results show that frames, which are designed solely considering the AISC-LRFD limitations, cannot resist progressive collapse, in terms of UFC requirements. Moreover, although the linear static analysis procedure needs the least computational cost with compared to the other two procedures, is the most conservative one and results in heaviest frame designs against progressive collapse. By comparing the results of this work with those reported in literature, it is also shown that the optimization technique used in this paper significantly reduces the required computational effort for design. In addition, the effect of the use of connections with high plastic rotational capacity is investigated, whose results show that lighter designs with resistance to progressive collapse can be obtained by using Side Plate connections in steel frames.

비선형 정적해석을 통한 횡저항 시스템의 보유성능 평가 및 설계방안 연구 (Design of Lateral Load Resisting System using Nonlinear Static Analysis)

  • 송진규;김건우;정성진;송영훈;이승창
    • 한국지진공학회논문집
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    • 제10권1호
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    • pp.9-16
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    • 2006
  • 횡저항 시스템의 설계는 구조 엔지니어의 경험과 노하우에 의존하는 경향이 크다. 또한 건물의 보유성능을 평가하여 설계과정에 적절히 반영할 수 있는 방법이 제시되어있지 않다. 따라서 본 연구에서는 구조물이 실제 보유하고 있는 유효보유성능(available full capacity, $R_{ac}$)과 설계기준에서 제시하고 있는 요구보유성능(minimum required capacity, $R_{code}$)에 의해 건물의 횡저항 시스템을 합리적으로 설계하는 방안을 제시하고자 한다. 제안 방법은 기존 구조 설계과정에 비선형 해석에 의한 횡저항 성능 평가가 추가된 것으로, 우선 기본 설계를 마친 후, 푸쉬오버(pushover)해석을 통해 구조물의 실제 횡저항 성능을 평가한다. 비선형 평가단계에서는 푸쉬오버(pushover) 해석을 수행하고 이선형화를 통해 항복밑면전단력$(V_Y)$을 결정한다. 그리고 설계풍밑면전단력$(V_{wind})$이 설계지진밑면전단력$(V_D)$보다 큰 경우 항복밑면전단력보다 설계풍밑면전단력이 작은 값임을 확인한 후에, 구조물이 보유한 $R_{ac}$를 산정한다. 설계지진밑면전단력이 큰 경우에는 바로 유효보유성능을 산정하고 이 유효 보유성능$(R_{ac})$이 요구보유성능$(R_{code})$에 근접하도록 피드백 과정을 통하여 부재를 재설계한다. 본 논문에서는 간단한 2차원 철골 가새가 설치된 철근콘크리트 구조를 이용하여 두 가지 경우에 대하여 제안한 합리적인 횡저항 시스템의 설계를 적용하였다. 그 결과 기본설계와 비선형 정적해석의 피드백 과정의 반복을 통하여 요구보유 성능에 근접한 유효보유성능을 갖는 횡저항 시스템을 설계하는 것이 가능하였다.

Development of a nonlinear seismic response capacity spectrum method for intake towers of dams

  • Cocco, Leonardo;Suarez, Luis E.;Matheu, Enrique E.
    • Structural Engineering and Mechanics
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    • 제36권3호
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    • pp.321-341
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    • 2010
  • The seismic-induced failure of a dam could have catastrophic consequences associated with the sudden release of the impounded reservoir. Depending on the severity of the seismic hazard, the characteristics and size of the dam-reservoir system, preventing such a failure scenario could be a problem of critical importance. In many cases, the release of water is controlled through a reinforced-concrete intake tower. This paper describes the application of a static nonlinear procedure known as the Capacity Spectrum Method (CSM) to evaluate the structural integrity of intake towers subject to seismic ground motion. Three variants of the CSM are considered: a multimodal pushover scheme, which uses the idea proposed by Chopra and Goel (2002); an adaptive pushover variant, in which the change in the stiffness of the structure is considered; and a combination of both approaches. The effects caused by the water surrounding the intake tower, as well as any water contained inside the hollow structure, are accounted for by added hydrodynamic masses. A typical structure is used as a case study, and the accuracy of the CSM analyses is assessed with time history analyses performed using commercial and structural analysis programs developed in Matlab.

Static and dynamic analysis of cable-suspended concrete beams

  • Kumar, Pankaj;Ganguli, Abhijit;Benipal, Gurmail
    • Structural Engineering and Mechanics
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    • 제64권5호
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    • pp.611-620
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    • 2017
  • A new theory of weightless sagging planer elasto-flexible cables under point loads is developed earlier by the authors and used for predicting the nonlinear dynamic response of cable-suspended linear elastic beams. However, this theory is not valid for nonlinear elastic cracked concrete beams possessing different positive and negative flexural rigidity. In the present paper, the flexural response of simply supported cracked concrete beams suspended from cables by two hangers is presented. Following a procedure established earlier, rate-type constitutive equations and third order nonlinear differential equations of motion for the structures undergoing small elastic displacements are derived. Upon general quasi-static loading, negative nodal forces, moments and support reactions may be introduced in the cable-suspended concrete beams and linear modal frequencies may abruptly change. Subharmonic resonances are predicted under harmonic loading. Uncoupling of the nodal response is proposed as a more general criterion of crossover phenomenon. Significance of the bilinearity ratio of the concrete beam and elasto-configurational displacements of the cable for the structural response is brought out. The relevance of the proposed theory for the analysis and the design of the cable-suspended bridges is critically evaluated.

약진지역에 있어서의 시간이력 해석과 UBC 규준 해석의 비교 (A Comparison of Time History Analysis to UBC-88 Requirements in a Low Seismic Zone)

  • 김희철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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    • pp.90-95
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    • 1991
  • The Uniform Building Code (UBC) is the most widely used requirements for earthquake resistant design in the United States. In this paper, a mid-rise steel building is analyzed by applying 12 sets of actual strong-motion earthquake data that have been scaled to acne 2B levels. The simply extrapolated ground motion displacements are used for the dynamic loads. The results of dynamic analyses for a 10-story steel building are compared with the static and dynamic analysis requirements of UBC-88. It was found that computed lateral fortes using UBC-88 static procedure differed by about 60 percent depending on whether the natural period was computed using the UBC empirical method or the UBC recommended Rayleigh's method. The lateral fortes computed from the UBC response spectra were more than 10 times greater than those computed by UBC static procedures. The lateral forces obtained from both linear and nonlinear analyses using 1989 Loma Prieta ground mot ions compared very well with UBC response spectra results.

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