• 제목/요약/키워드: Linear and nonlinear loads

검색결과 222건 처리시간 0.022초

A load increment method for ductile reinforced concrete (RC) frame structures considering strain hardening effects

  • Gunhan Aksoylu, M.;Girgin, Konuralp
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.231-247
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    • 2011
  • This study introduces a new load increment method for the ductile reinforced concrete (RC) frame structures by including strain-hardening effects. The proposed method is a nonlinear static analysis technique employed for RC frame structures subjected to constant gravity loads and monotonically increasing lateral loads. The material nonlinearity in RC structural elements is considered by adopting plastic hinge concept which is extended by including the strain hardening as well as interaction between bending moment and axial force. Geometric non-linearity, known as second order effect, is implemented to the method as well.

Impact of viscoelastic foundation on bending behavior of FG plate subjected to hygro-thermo-mechanical loads

  • Ismail M. Mudhaffar;Abdelbaki Chikh;Abdelouahed Tounsi;Mohammed A. Al-Osta;Mesfer M. Al-Zahrani;Salah U. Al-Dulaijan
    • Structural Engineering and Mechanics
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    • 제86권2호
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    • pp.167-180
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    • 2023
  • This work applies a four-known quasi-3D shear deformation theory to investigate the bending behavior of a functionally graded plate resting on a viscoelastic foundation and subjected to hygro-thermo-mechanical loading. The theory utilizes a hyperbolic shape function to predict the transverse shear stress, and the transverse stretching effect of the plate is considered. The principle of virtual displacement is applied to obtain the governing differential equations, and the Navier method, which comprises an exponential term, is used to obtain the solution. Novel to the current study, the impact of the viscoelastic foundation model, which includes a time-dependent viscosity parameter in addition to Winkler's and Pasternak parameters, is carefully investigated. Numerical examples are presented to validate the theory. A parametric study is conducted to study the effect of the damping coefficient, the linear and nonlinear loadings, the power-law index, and the plate width-tothickness ratio on the plate bending response. The results show that the presence of the viscoelastic foundation causes an 18% decrease in the plate deflection and about a 10% increase in transverse shear stresses under both linear and nonlinear loading conditions. Additionally, nonlinear loading causes a one-and-a-half times increase in horizontal stresses and a nearly two-times increase in normal transverse stresses compared to linear loading. Based on the article's findings, it can be concluded that the viscosity effect plays a significant role in the bending response of plates in hygrothermal environments. Hence it shall be considered in the design.

A geometrically nonlinear thick plate bending element based on mixed formulation and discrete collocation constraints

  • Abdalla, J.A.;Ibrahim, A.K.
    • Structural Engineering and Mechanics
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    • 제26권6호
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    • pp.725-739
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    • 2007
  • In recent years there are many plate bending elements that emerged for solving both thin and thick plates. The main features of these elements are that they are based on mix formulation interpolation with discrete collocation constraints. These elements passed the patch test for mix formulation and performed well for linear analysis of thin and thick plates. In this paper a member of this family of elements, namely, the Discrete Reissner-Mindlin (DRM) is further extended and developed to analyze both thin and thick plates with geometric nonlinearity. The Von K$\acute{a}$rm$\acute{a}$n's large displacement plate theory based on Lagrangian coordinate system is used. The Hu-Washizu variational principle is employed to formulate the stiffness matrix of the geometrically Nonlinear Discrete Reissner-Mindlin (NDRM). An iterative-incremental procedure is implemented to solve the nonlinear equations. The element is then tested for plates with simply supported and clamped edges under uniformly distributed transverse loads. The results obtained using the geometrically NDRM element is then compared with the results of available analytical solutions. It has been observed that the NDRM results agreed well with the analytical solutions results. Therefore, it is concluded that the NDRM element is both reliable and efficient in analyzing thin and thick plates with geometric non-linearity.

Total Lagrangian 문제형성에 의한 낮은 원호아치의 동적 비선형거동 해석 (A Geometrically Nonlinear Dynamic Analysis of Shallow Circular Arches Using Total Lagrangian Formulation)

  • 김연태;김문겸;황학주
    • 대한토목학회논문집
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    • 제10권2호
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    • pp.39-48
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    • 1990
  • 큰 동하중을 받는 낮은 아치는 큰 변형이 발생하므로 선형해석으로는 실제적으로 정확한 해석이 어렵다. 따라서 본 연구에서는 낮은 원호아치의 동적 비선형 해석방법을 제시하였으며, 제시된 방법을 토대로 낮은 아치의 동적 비선형 해석을 수행하고 임계좌굴하중을 구할 수 있는 프로그램을 개발 하였다. 형상의 비선형성은 Lagrangian 운동좌표를 고려하여 해석하였으며 동적운동방정식을 풀기 위하여 유한요소법을 사용하였다. 이때 동적운동방정식의 시간적분으로 Newmark 해법을 채택하였다. 프로그램은 만재 방사형등분포하중을 받는 낮은 원호아치를 해석하여 그 결과치를 다른 연구결과와 비교하여 검증하였다. 모형해석을 통해서는 큰동하중을 받는 원호아치는 기하학적 비선형 거동을 고려하여 해석되어야 하며, 아치가 낮아질수록 좌굴발생가능성이 높아짐을 알았다. 또한 여러가지 형상의 아치에 대한 좌굴 해석을 실시하여 임계좌굴하중을 구하였으며 기왕의 연구와 비교하여 정확성을 확인하였다.

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기초지반강성을 고려한 철골 건축구조물의 비선형 지진해석 (Nonlinear Seismic Analysis of Steel Structure Buildings Considering the Stiffnesses of the Foundation-Soil System)

  • 오영희;김용석
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2005년도 학술발표회 논문집
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    • pp.137-144
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    • 2005
  • Seismic responses of a building are affected due to the site soil conditions. In this study, linear time history seismic analysis and nonlinear pushover static seismic analysis were performed to estimate the base shear forces of the 3, 5 and 7-story steel structure buildings considering the rigid and soft soil conditions. According to the study results, the steel structure buildings designed for the gravity loads and wind load showed the elastic responses with the moderate earthquake of 0.11g, and the soft soil layer increased the displacement and the base shear force of a building. Therefore it is more resonable to perform an elastic seismic analysis of a building structure with the moderate earthquakes considering the characteristics of the soft soil layer.

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과도안정도 해석을 위한 지능형 부하모델의 새로운 접근법 (Nobel Approaches of Intelligent Load Model for Transient Stability Analysis)

  • 이종필;임재윤;지평식
    • 전기학회논문지P
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    • 제57권2호
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    • pp.96-101
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    • 2008
  • The field of load modeling has attracted the attention since it plays an important role for improving the accuracy of stability analysis and power flow estimation. Also, load modeling is an essential factor in the simulation and evaluation of power system performance. However, conventional load modeling techniques have some limitations with respect to accuracy for nonlinear and composite loads. Thus, precision load modeling technique and reasonable application method is needed for more accurate power system analysis. In this paper, we develop an intelligent load modeling method based. on neural network and application techniques for power system. The proposed method makes it possible to effectively estimate the load model for nonlinear models as well as linear models. Reasonable application method is also proposed for stability analysis. To demonstrate the validity of the proposed method, various experiments are performed and their results are presented.

튜브형 충돌에너지흡수부재의 좌굴불안전성에 대한 연구 (The study on the buckling instability of tube type crash energy absorber)

  • 최원목;정현승;권태수
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 춘계학술대회 논문집
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    • pp.1564-1570
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    • 2007
  • There are normally two types of the energy absorbers used in the crashworthiness of trains. The first is a structure type, which mainly used in not only the primary structures of the train but also the crash energy absorbers at the accident. The second is a module type, which just absorbs the crash energy independent of the primary structures and attached to the structures of the train. The expansion and inversion tube are widely used as the module type crash energy absorbers, especially in the train. The tubes should not be buckled under the load acting on the end of the tube in longitudinal direction during absorbing the crash energy. The buckling stability of the tubes is affected by the boundary conditions, thickness and length of tube. In this study, the effects of the length and thickness of the tubes on the buckling load are studied by using the ABAQUS, a commercial finite element analysis program, and then presents the guideline to design the tube. The analysis processes to compute the buckling load consist of a linear buckling analysis and a nonlinear post-buckling analysis. The buckling modes are evaluated by the linear buckling analysis, as using these modes, the buckling loads are computed by the nonlinear post-buckling analysis.

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3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석 (Static Non-linear Finite Element Analysis of Spatial Cable Networks)

  • 김문영;김남일;안상섭
    • 전산구조공학
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    • 제11권1호
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    • pp.179-190
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    • 1998
  • 두개의 케이블요소를 이용한 3차원 케이블망의 정적 비선형 유한요소해석기법을 제시한다. 먼저, 공간 트러스요소와 탄성현수선 케이블요소(elastic catenary cable element)의 접선강도행렬과 질량행렬을 유도하는 과정을 간략히 요약한다. 지점 변위를 일으키고 자중을 받는 케이블망의 초기평형 상태를 결정하기 위하여, Newton-Raphson 반복법에 근거한 하중증분법과 현수케이블요소를 적용하는 경우에 viscous damping을 고려한 dynamic relaxation법을 제시한다. 또한 초기의 정적평형상태를 기준으로 추가하중에 대한 케이블망의 정적 비선형해석을 수행한다. 지점변위와 외력을 받는 케이블 구조에 대하여 비선형해석을 수행하고, 해석결과들을 기존의 문헌의 결과와 비교, 검토하므로써 본 논문에서 제시한 이론 및 해석방법의 타당성을 입증한다.

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A "deformable section" model for the dynamics of suspension bridges -Part II: Nonlinear analysis and large amplitude oscillations

  • Sepe, Vincenzo;Diaferio, Mariella;Augusti, Giuliano
    • Wind and Structures
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    • 제6권6호
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    • pp.451-470
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    • 2003
  • The classical two-degree-of-freedom (2-d-o-f) "sectional model" is of common use to study the dynamics of suspension bridges. It takes into account the first pair of vertical and torsional modes of the bridge and describes well global oscillations caused by wind actions on the deck, yielding very useful information on the overall behaviour and the aerodynamic and aeroelastic response; however, it does not consider relative oscillations between main cables and deck. On the contrary, the 4-d-o-f model described in the two Parts of this paper includes longitudinal deformability of the hangers (assumed linear elastic in tension and unable to react in compression) and thus allows to take into account not only global oscillations, but also relative oscillations between main cables and deck. In particular, when the hangers go slack, large nonlinear oscillations are possible; if the hangers remain taut, the oscillations remain small and essentially linear: the latter behaviour has been the specific object of Part I (Sepe and Augusti 2001), while the present Part II investigates the nonlinear behaviour (coexisting large and/or small amplitude oscillations) under harmonic actions on the cables and/or on the deck, such as might be generated by vortex shedding. Because of the discontinuities and strong nonlinearity of the governing equations, the response has been investigated numerically. The results obtained for sample values of mechanical and forcing parameters seems to confirm that relative oscillations cannot a priori be excluded for very long span bridges under wind-induced loads, and they can stimulate a discussion on the actual possibility of such phenomena.

사무용 빌딩에서의 전압 및 전류파형 왜곡특성 분석 (Analysis of Volatage and Current Waveform Distortion Characteristics at Office Buildings)

  • 유재근;이상익;전정채;정종욱;임용배
    • 조명전기설비학회논문지
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    • 제19권1호
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    • pp.155-161
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    • 2005
  • 사무용 빌딩의 비선형 전자부하에 기인한 전압 및 전류파형의 왜곡은 중성선의 과열, 변압기 손실, 누전차단기 오동작 등을 야기 시킨다. 본 논문에서는 사무용 빌딩에서의 전압 및 전류 고조파의 크기, 전압 및 전류 파고율(Crest Factor : CF), 전압 및 전류 불평형 등을 비교함으로써 파형왜곡 특성을 분석하였다. 분석 결과, 고조파에 의한 상 및 중성선에서의 심각한 파형 왜곡 문제와 삼상에서의 단상 부하의 부적절한 분배로 인한 전류 불평형이 심한 빌딩이 조사되었다. 본 연구 결과는 사무용 빌딩에서 합리적이고 경제적인 부하운용을 위해 사용될 수 있을 것이다.