• 제목/요약/키워드: nonlinear finite elements

검색결과 405건 처리시간 0.024초

Seismic effects of epicenter distance of earthquake on 3D damage performance of CG dams

  • Karalar, Memduh;Cavusli, Murat
    • Earthquakes and Structures
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    • 제18권2호
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    • pp.201-213
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    • 2020
  • Seismic damages that occurred by the effects of epicenter distance of the earthquake are one of the most important problems for the earthquake engineering. In this study, it is aimed to examine the nonlinear seismic behaviors of concrete gravity (CG) dams considering various epicenter distances. For this purpose, Boyabat CG dam that is one of the biggest concrete gravity dams in Turkey is selected as a numerical application. FLAC3D software based on finite difference method is used for modelling and analyzing of the dam. Drucker-Prager nonlinear material model is used for the concrete body and Mohr-Coulomb nonlinear material model is taken into account for the foundation. Special interface elements are used between dam body and foundation to represent interaction condition. Free-field and quiet non-reflecting boundary conditions are utilized for the main surfaces of 3D model. Total 5 various epicenter distances of 1989 Loma Prieta earthquake are considered in 3D earthquake analyses and these distances are 5 km, 11 km, 24 km, 85 km and 93 km, respectively. According to 3D seismic results, x-y-z displacements, principal stresses and shear strain failures of the dam are evaluated in detail. It is clearly seen from this study that the nonlinear seismic behaviors of the CG dams change depending to epicenter distance of the earthquake. Thus, it is clearly recommended in this study that when a CG dam is modelled or analyzed, distance of the earthquake fault to the dam should be strongly examined in detail. Otherwise, earthquake damages can be occurred in the concrete dam body by the effects of seismic loads.

회전자유도를 갖는 층상화 요소를 이용한 철근콘크리트 쉘구조의 비선형 동적해석 (Nonlinear Dynamic Analysis of Reinforced Concrete Shells Using Layered Elements with Drilling DOF)

  • 김태훈;이상국;신현목
    • 한국지진공학회논문집
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    • 제5권6호
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    • pp.21-27
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    • 2001
  • 이 논문에서는 철근콘크리트 쉘구조의 동적해석을 위한 비선형 유한요소 해법을 제시하였다. 사용된 프로그램은 철근콘크리트 구조물의 해석을 위한 RCAHEST이다. 유한요소로서는 면내회전강성도를 갖는 4절점 평면 쉘요소가 사용되었다. 두께방향에 대한 철근과 콘크리트의 재료성질을 고려하기 위하여 층상화기법이 도입되었다. 재료적 비선형성에 대해서는 균열콘크리트에 대한 인장, 압축, 전단모델과 콘크리트 속에 있는 철근모델을 조합하여 고려하였다. 이에 대한 콘크리트의 균열모델로서는 분산균열모델을 사용하였다. 동적 평형방정식의 해는 HHT법에 의한 수치적분으로 구하였다. 신뢰성 있는 해석결과와 비교를 통하여 이 논문의 제안방법이 철근 콘트리트 쉘구조의 비선형 동적해석에 적합한 방법임을 입증하고자 한다.

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트러스 모델을 이용한 철근콘크리트 부재의 비선형해석 (Nonlinear Analysis of RC Members Using Truss Model)

  • 엄태성;박홍근
    • 콘크리트학회논문집
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    • 제18권2호
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    • pp.177-188
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    • 2006
  • 전통적인 비선형 유한요소해석은 모델링이 복잡하고 어려운 해석기법이 필요로 한다. 게다가 해석결과가 응력-변형률 관계로 도출되므로 그 결과를 분석하거나 설계에 활용하기 어렵다. 본 연구에서는 설계 지향적인 수치해석방법으로 트러스 모델을 이용한 비선형 해석방법을 개발하였다. 해석하고자 하는 철근콘크리트 부재를 길이방향, 직각방향, 대각방향의 트러스요소로 이상화한다. 기본적으로 각 요소는 철근과 콘크리트의 복합체이며, 주기해석을 위하여 철근과 콘크리트 요소를 위한 간략화된 비선형 주기이력모델을 적용하였다. 제안된 방법의 검증을 위하여 전단경간비, 하중조건, 철근량, 배근형태 등이 다른 다양한 전단지배 보와 벽체에 대하여 비선형해석을 수행하였고, 예측된 비탄성강도, 에너지소산능력, 변형능력, 파괴유형 등을 실험 결과와 비교하였다. 해석결과, 철근콘크리트 부재의 변형능력을 예측하기 위해서는 반복적인 인장-압축을 받는 콘크리트 스트럿에 사용되는 압축연화모델이 부재특성에 따라 수정되어야 함이 밝혀졌다.

Effects of openings geometry and relative area on seismic performance of steel shear walls

  • Massumi, Ali;Karimi, Nasibeh;Ahmadi, Mostafa
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.617-628
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    • 2018
  • Steel shear wall possesses priority over many of the current lateral load-bearing systems due to reasons like higher elastic stiffness, desirable ductility and energy absorption, convenience in construction and implementation technology, and economic criteria. Besides these advantages, this system causes increase in the dimensions of other structural elements due to its high stiffness as one of its intrinsic characteristics. One of the methods for stiffness reduction is perforating the wall panel and creating openings in the wall that can also be used as windows or ducts in buildings service period. The aim of the present study is probing the appropriate geometric shape and location of opening to fulfil economic criterion plus technical and seismic design criteria. In the present research, a number of possible while reasonable opening shapes and locations are defined in various sizes for some steel shear wall specimens. The specimens are modelled in ABAQUS finite elements software and analyzed using nonlinear pushover analysis. Finally, the analyses' results are reported as force-displacement diagrams and the strength, the initial stiffness and the energy absorption are calculated for all specimens and compared together. The obtained results show that both shape and location of the openings affect the seismic parameters of the shear wall. The specimens in which the openings are further from the center and closer to the columns possess higher stiffness and strength while the specimens in which the openings are closer to the center show more considerable changes in their seismic parameters in response to increase in opening area.

앵커 부착-미끄러짐 모형을 이용한 콘크리트-강재 구조물의 비선형 반복하중 해석 (Nonlinear Analysis of Cyclically Loaded Concrete-Steel Structures Using an Anchor Bond-Slip Model)

  • 임주은;이지호
    • 대한토목학회논문집
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    • 제29권5A호
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    • pp.495-501
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    • 2009
  • 본 논문에서는 앵커로 연결된 콘크리트-강재 구조물이 극한 반복주기하중을 받는 경우를 수치 시뮬레이션하기 위하여 필요한 콘크리트-앵커 부착모형에 대하여 논하였다. 제안되는 앵커의 부착-미끄러짐 수치모형은 비선형 일축 연결요소의 조합으로 이루어지며 인발실험 결과를 이용하여 부착-미끄러짐 모형의 인자를 결정할 수 있다. 제안된 앵커 부착-미끄러짐 모형을 Abaqus 요소의 조합으로 구성하고, 이를 사용한 해석 결과와 앵커의 완전부착모형을 사용한 해석 결과를 실험 결과와 비교하였다. 이로부터 극한 반복하중을 받는 콘크리트-강재 구조물 수치해석에는 합리적인 앵커 부착-미끄러짐 모형이 반드시 사용되어야 한다는 것을 알 수 있었으며 본 연구에서 제안한 합성 연결모형을 이용하면 사실적으로 앵커의 부착-미끄러짐 현상을 모사할 수 있다는 것을 확인하였다.

해석적 주파수종속 무한요소를 사용한 시간영역해석의 지반-구조물의 상호작용을 고려한 지진해석 (Time Domain Soil-Structure Interaction Analysis for Earthquake Loadings Based on Analytical Frequency-Dependent Infinite Elements)

  • Kim, Doo-Kie;Yun, Chung-Bang
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.121-128
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    • 1999
  • This paper presents a time domain method for soil-structure interaction analysis for seismic loadings. It is based on the finite element formulation incorporating analytical frequency-dependent infinite elements for the far field soil. The dynamic stiffness matrices of the far field region formulated using the present method in frequency domain can be easily transformed into the corresponding matrices in time domain. At first, the equivalent earthquake forces are evaluated along the interface between the near and the far fields from the free-field response analysis carried out in frequency domain, and the results are transformed into the time domain. An efficient procedure is developed for the convolution integrals to evaluate the interaction force along the interface, which depends on the response on the interface at the past time instances as well as the concurrent instance. Then, the dynamic responses are obtained for the equivalent earthquake force and the interaction force using Newmark direct integration technique. Since the response analysis is carried out in time domain, it can be easily extended to the nonlinear analysis. Example analysis has been carried out to verify the present method in a multi-layered half-space.

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Waviness가 있는 볼베어링으로 지지된 회전계의 동특성 해석 (II)-안정성 해석 - (Dynamic Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness (I) -Vibration Analysis-)

  • 정성원;장건희
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2647-2655
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    • 2002
  • This research presents an analytical model to investigate the stability due to the ball bearing waviness i n a rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time -varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite determinant of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling elements of a ball bearing generates the time-varying component of the stiffness coefficient, whose frequency is called the frequency of the parametric excitation. It also shows that the instability takes place from the positions in which the ratio of the natural frequency to the frequency of the parametric excitation corresponds to i/2 (i=1,2,3..).

Effect of higher order terms of Maclaurin expansion in nonlinear analysis of the Bernoulli beam by single finite element

  • Zahrai, Seyed Mehdi;Mortezagholi, Mohamad Hosein;Mirsalehi, Maryam
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.949-966
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    • 2016
  • The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope-deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.

Out-of-plane seismic failure assessment of spandrel walls in long-span masonry stone arch bridges using cohesive interface

  • Bayraktar, Alemdar;Hokelekli, Emin;Halifeoglu, Meral;Halifeoglu, Zulfikar;Ashour, Ashraf
    • Earthquakes and Structures
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    • 제18권1호
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    • pp.83-96
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    • 2020
  • The main structural elements of historical masonry arch bridges are arches, spandrel walls, piers and foundations. The most vulnerable structural elements of masonry arch bridges under transverse seismic loads, particularly in the case of out-of-plane actions, are spandrel wall. The vulnerability of spandrel walls under transverse loads increases with the increasing of their length and height. This paper computationally investigates the out-of-plane nonlinear seismic response of spandrel walls of long-span and high masonry stone arch bridges. The Malabadi Bridge with a main arch span of 40.86m and rise of 23.45m built in 1147 in Diyarbakır, Turkey, is selected as an example. The Concrete Damage Plasticity (CDP) material model adjusted to masonry structures, and cohesive interface interaction between the infill and the spandrel walls and the arch are considered in the 3D finite element model of the selected bridge. Firstly, mode shapes with and without cohesive interfaces are evaluated, and then out-of-plane seismic failure responses of the spandrel walls with and without the cohesive interfaces are determined and compared with respect to the displacements, strains and stresses.

A Modified Shooting Method Technique for the Analysis of the Limited Slip Capacity of UHPFRC-NC Composite Structure

  • Han, Sang-Mook;Wu, Xiangguo;Kim, Sung-Wook;Kang, Su-Tae
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.1061-1064
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    • 2008
  • Shear connectors have a finite slip capacity because of the mechanism by which they transfer the shear between UHPFRC and NC elements. At high degree of shear connection, non-linear analysis techniques are required to allow for compressive plasticity and tensile cracking behaviour of the elements. As with all non-linear problems, a closed form solution is difficult to find. A Modified Shooting Method Technique is developed here for non-linear analysis of UHPFRC/concrete composite. The initial effective moment is derived according to the prestressing force. The composite structure is divided into small segments which length is much less than the length of the structure and it can be assumed that the forces and displacements within each segment are constant. An equivalent analysis in composite girders would be to fix the slip strain in each segment and develop a moment curvature relationship for this slip strain in each segment. Additive forces and moment analysis on each section of the segments are analyzed by MSMT. Finally the ultimate slippage of the interface can be evaluated by the MSMT model. This paper presents a nonlinear analysis method for limited slip capacity of UHPFRC-NC interface.

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