• 제목/요약/키워드: Geometric Nonlinear Behavior

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탄성계수 불확실성을 고려한 반강접 프레임 구조의 확률적 비선형 거동 해석 (Probabilistic Nonlinear Analysis of Semi-Rigid Frames Considering Random Elastic Modulus)

  • 김대영;노혁천
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.191-198
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    • 2013
  • 본 논문에서는 반강접을 고려한 프레임 구조에서 강재 탄성계수의 불확실성이 프레임 구조의 비선형거동에 미치는 영향을 분석하였다. 강재 탄성계수의 불확실성의 확률분포는 정규분포로 모델링 하였으며, 이러한 확률적 물성치를 반강접 프레임의 비선형 거동에 적용할 수 있는 해석 프로그램을 개발하였다. 프레임의 비선형 거동 인수인 기하학적 비선형, 재료적 비선형, 그리고 접합부의 반강접에 의한 비선형 효과를 고려하여, Monte Carlo Simulation에 기반한 확률론적 해석을 수행하였다. 확률론적 해석을 위해 확률변수를 세 종류로 생성하여 사용하였다. 확정론적 해석의 결과는 기존의 연구 결과와 잘 일치하는 결과를 보였다. 확률론적 해석의 경우, 변위의 분산계수는 구조에 작용하는 하중이 증가함에 따라 증가하는 결과를 나타냈으며, 그 값은 프레임구조의 구조적 특성에 영향을 받는 것으로 나타났다.

형상불완전을 갖는 철근 콘크리트 축대칭 쉘의 동적 특성 (Dynamic Characteristics of Reinforced concrete axisymmetric shell with shape imperfection)

  • 조진구
    • 한국농공학회지
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    • 제42권5호
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    • pp.151-159
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    • 2000
  • Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

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Reliability analysis of double-layer domes with stochastic geometric imperfections

  • Gordini, Mehrdad;Habibi, Mohammad Reza;Sheidaii, Mohammad Reza;Tahamouliroudsari, Mehrzad
    • Advances in Computational Design
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    • 제2권2호
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    • pp.133-146
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    • 2017
  • This study aimed to investigate the effect of initial member length an imperfection in the load carrying capacity of double-layer domes space structures. First, for the member length imperfection of each member, a random number is generated from a normal distribution. Thereupon, the amount of the imperfection randomly varies from one member to another. Afterwards, based on the Push Down analysis, the collapse behavior and the ultimate capacity of the considered structure is determined using nonlinear analysis performed by the OpenSees software and this procedure is repeated numerous times by Monte Carlo simulation method. Finally, the reliability of structures is determined. The results show that the collapse behavior of double-layer domes space structures is highly sensitive to the random distribution of initial imperfections.

Large post-buckling behavior of Timoshenko beams under axial compression loads

  • Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • 제51권6호
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    • pp.955-971
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    • 2014
  • Large post-buckling behavior of Timoshenko beams subjected to non-follower axial compression loads are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. Two types of support conditions for the beams are considered. In the case of beams subjected to compression loads, load rise causes compressible forces end therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of lower-Carbon Steel. In the study, the relationships between deflections, rotational angles, critical buckling loads, post-buckling configuration, Cauchy stress of the beams and load rising are illustrated in detail in post-buckling case.

강구조 부재와 골조의 거동 성상에 대한 해석수법의 개발에 관한 연구 (A Study on Development of Numerical Analysis Method Behavior for Properties of Steel Structure Member and Frame)

  • 박정민;김화중;이상재
    • 전산구조공학
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    • 제9권1호
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    • pp.115-123
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    • 1996
  • 본 논문은 기하학적 비선형과 재료적 비선형을 고려하여 강구조 부재 및 골조의 비선형 해석을 위한 프로그램을 개발하고 강재의 응력도 변형도 관계를 정식화하였다. 본 프로그램의 효율성을 검증하기 위하여 단조 하중을 받는 H형강 보와 각형강관 기둥, 그리고 반복 수평력을 받는 브레이스 강재 라멘에 대한 수치해석을 행하였다. 본 그로그램에 의해 얻어진 결과는 대체적으로 기존의 실험 및 해석결과와 일치하였다.

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일반적인 접촉특성을 이용한 휠/레일 접촉모듈 프로그램 개발에 관한 연구 (A study on the development of wheel-rail contact module using general contact mechanism)

  • 박찬경;배대성;조희재;조영걸
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2003년도 추계학술대회 논문집(I)
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    • pp.204-209
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    • 2003
  • The railway vehicle is composed of many suspension components, such as 1st springs, 2nd dampers, that have an influence on the dynamic characteristics of high speed train. Also, the wheel/rail shapes and its contact mechanism affect the dynamic behavior of high speed train. but these geometric contact characteristics are nonlinear functions of the wheelset lateral displacement and it do not exact dynamic analysis for high speed train. there is a need to develop a new wheel/rail contact module for dynamic behavior and wheelset model is divided motor box, wheel box and wheel body. This wheel is moved by motor box and constrained by joint. It is almost same a train and its result is more exactly.

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A size-dependent study on buckling and post-buckling behavior of imperfect piezo-flexomagnetic nano-plate strips

  • Momeni-Khabisi, Hamed;Tahani, Masoud
    • Advances in nano research
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    • 제12권4호
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    • pp.427-440
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    • 2022
  • In the present study, the nonlocal strain gradient theory is used to predict the size-dependent buckling and post-buckling behavior of geometrically imperfect nano-scale piezo-flexomagnetic plate strips in two modes of direct and converse flexomagnetic effects. The first-order shear deformation plate theory is used to analyze analytically nano-strips with simply supported boundary conditions. The nonlinear governing equations of equilibrium and associated boundary conditions are derived using the principle of minimum total potential energy with consideration of the von Kármán-type of geometric nonlinearity. A closed-form solution of governing differential equation is obtained, which is easily usable for engineers and designers. To validate the presented formulations, whenever possible, a comparison with the results found in the open literature is reported for buckling loads. A parametric study is presented to examine the effect of scaling parameters, plate slenderness ratio, temperature, the mid-plane initial rise, flexomagnetic coefficient, different temperature distributions, and magnetic potential, in case of the converse flexomagnetic effect, on buckling and post-buckling loads in detail.

아치 트러스 및 공간 트러스 구조의 비탄성 비선형 거동해석 (Inelastic Nonlinear Analysis of Arch Truss and Space Truss Structures)

  • 김광중;정미루;김연태;백기열;이재홍
    • 한국공간구조학회논문집
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    • 제8권5호
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    • pp.47-58
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    • 2008
  • 대공간 구조는 형태저항구조로서, 기둥-보로 구성되는 일반적인 건축골조구조가 설계외력에 대해 휨 및 전단으로 저항되는 것에 반해, 구조물의 내부에 기둥이 없는 공간을 내포하는 대공간 구조는 축력 및 면내 단면력에 의해 저항되는 경우가 대부분이다. 이러한 특성상 공간구조에는 일반적으로 장스팬이 사용되는 경우가 많으며, 그 결과 일반적인 골조와는 달리, 부재에 발생하는 변형도가 작은 경우에도 큰 변형이 발생하는, 즉 대변형 혹은 유한변형을 동반하게 된다. 일반적으로 수치해석에 있어 비선형 해석이란 기하학적 비선형 및 재료적 비선형, 또는 이 두 가지를 동시에 고려한 복합 비선형 해석을 들 수가 있다. 본 논문에서는 유한요소법으로 기하학적 비선형을 고려한 비선형 평형방정식을 적용하고, 부재의 응력-변형률 관계를 이용하여 재료적 비선형성도 함께 고려하였다. 사용된 수치해석 기법은 불안정 경로의 해를 찾아갈 수 있는 호장법을 적용하여 하중-변위 곡선을 추적하였다. 또한, 해석 결과는 범용 유한요소 프로그램인 ABAQUS를 이용하여 비교 검토하였다. 본 연구의 수치 해석결과 제시한 평면 및 공간 트러스의 비탄성 비선형 거동을 정확하고 효율적으로 예측 가능한 것으로 나타났다.

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Seismic performance evaluation of coupled core walls with concrete and steel coupling beams

  • Fortney, Patrick J.;Shahrooz, Bahram M.;Rassati, Gian A.
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.279-301
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    • 2007
  • When coupling beams are proportioned appropriately in coupled core wall (CCW) systems, the input energy from ground motions is dissipated primarily through inelastic deformations in plastic hinge regions at the ends of the coupling beams. It is desirable that the plastic hinges form at the beam ends while the base wall piers remain elastic. The strength and stiffness of the coupling beams are, therefore, crucial if the desired global behavior of the CCW system is to be achieved. This paper presents the results of nonlinear response history analysis of two 20-story CCW buildings. Both buildings have the same geometric dimensions, and the components of the buildings are designed based on the equivalent lateral force procedure. However, one building is fitted with steel coupling beams while the other is fitted with diagonally reinforced concrete coupling beams. The force-deflection relationships of both beams are based on experimental data, while the moment-curvature and axial load-moment relationships of the wall piers are analytically generated from cross-sectional fiber analyses. Using the aforementioned beam and wall properties, nonlinear response history analyses are performed. Superiority of the steel coupling beams is demonstrated through detailed evaluations of local and global responses computed for a number of recorded and artificially generated ground motions.

Femoral Fracture load and damage localization pattern prediction based on a quasi-brittle law

  • Nakhli, Zahira;Ben Hatira, Fafa;Pithioux, Martine;Chabrand, Patrick;Saanouni, Khemais
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.191-201
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    • 2019
  • Finite element analysis is one of the most used tools for studying femoral neck fracture. Nerveless, consensus concerning either the choice of material characteristics, damage law and /or geometric models (linear on nonlinear) remains unreached. In this work, we propose a numerical quasi-brittle damage model to describe the behavior of the proximal femur associated with two methods to evaluate the Young modulus. Eight proximal femur finite elements models were constructed from CT scan data (4 donors: 3 women; 1 man). The numerical computations showed a good agreement between the numerical curves (load - displacement) and the experimental ones. A very encouraging result is obtained when a comparison is made between the computed fracture loads and the experimental ones ($R^2=0.825$, Relative error =6.49%). All specific numerical computation provided very fair qualitative matches with the fracture patterns for the sideway fall simulation. Finally, the comparative study based on 32 simulations adopting linear and nonlinear meshing led to the conclusion that the quantitatively results are improved when a nonlinear mesh is used.