• 제목/요약/키워드: Geometric nonlinearity

검색결과 315건 처리시간 0.025초

유연성 반복과정과 비선형유한요소법에 의한 케이블 구조물의 형태탐색 (A Shape Finding of the Cable Structures by Flexibility Iteration Procedure and Nonlinear FEM)

  • 황보석;서삼열;진권태
    • 전산구조공학
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    • 제3권3호
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    • pp.133-140
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    • 1990
  • 케이블 구조물은 응력-변형도관계에서 비선형성이 강하고 대변위에 의해 기하학적 비선형이 도입되므로 해석이 복잡하다. 그러므로 케이블 구조물의 평형형태 탐색과 해석에 앞서 기하학적 비선형을 고려해야만 한다. 본 논문에서는 이러한 문제를 해결하기 위해 케이블, 네트, 전선, 현수케이블 지붕등에 적용될 수 있는 수치해석과정이 소개된다. 이 과정은 두 부분으로 나눌 수 있는데, 하나는 유연성반복과정에의해 등분포하중을 받는 케이블 구조물의 응력과 평형형태를 구하는 것이고, 다른 한 부분은 비선형 유한요소법에 의해 절점외력을 받는 평형형태를 해석하는 것이다.

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Study on the effect of corrosion defects on VIV behavior of marine pipe using a new defective pipe element

  • Zhang, He;Xu, Chengkan;Shen, Xinyi;Jiang, Jianqun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.552-568
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    • 2020
  • After long-term service in deep ocean, pipelines are usually suffered from corrosions, which may greatly influence the Vortex-Induced Vibration (VIV) behavior of pipes. Thus, we investigate the VIV of defective pipelines. The geometric nonlinearity due to large deformation of pipes and nonlinearity in vortex-induced force are simulated. This nonlinear vibration system is simulated with finite element method and solved by direct integration method with incremental algorithm. Two kinds of defects, corrosion pits and volumetric flaws, and their effects of depth and range on VIV responses are investigated. A new finite element is developed to simulate corrosion pits. Defects are found to aggravate VIV displacement response only if environmental flow rate is less than resonance flow rate. As the defect depth grows, the stress responses increase, however, the increase of the defect range reduces the stress response at corroded part. The volumetric flaws affect VIV response stronger than the corrosion pits.

풍력발전시스템의 유연체 다물체 동역학 시뮬레이션 프로그램 개발 (Wind Turbine Simulation Program Development using an Aerodynamics Code and a Multi-Body Dynamics Code)

  • 송진섭;임채환;남용윤;배대성
    • 신재생에너지
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    • 제7권4호
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    • pp.50-57
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    • 2011
  • A wind turbine simulation program for the coupled dynamics of aerodynamics, elasticity, multi-body dynamics and controls of turbine is newly developed by combining an aero-elastic code and a multi-body dynamics code. The aero-elastic code, based on the blade momentum theory and generalized dynamic wake theory, is developed by NREL(National Renewable Energy Laboratory, USA). The multi-body dynamics code is commercial one which is capable of accounting for geometric nonlinearity and twist deflection. A turbulent wind load case is simulated for the NREL 5-MW baseline wind turbine model by the developed program and FAST. As a result, the two results agree well enough to verify the reliability of the developed program.

Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method

  • Nguyen, Phu-Cuong;Kim, Seung-Eock
    • Steel and Composite Structures
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    • 제21권5호
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    • pp.1121-1144
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    • 2016
  • This paper presents a displacement-based finite element procedure for second-order distributed plasticity analysis of planar steel frames with semi-rigid beam-to-column connections under static loadings. A partially strain-hardening elastic-plastic beam-column element, which directly takes into account geometric nonlinearity, gradual yielding of material, and flexibility of semi-rigid connections, is proposed. The second-order effects and distributed plasticity are considered by dividing the member into several sub-elements and meshing the cross-section into several fibers. A new nonlinear solution procedure based on the combination of the Newton-Raphson equilibrium iterative algorithm and the constant work method for adjusting the incremental load factor is proposed for solving nonlinear equilibrium equations. The nonlinear inelastic behavior predicted by the proposed program compares well with previous studies. Coupling effects of three primary sources of nonlinearity, geometric imperfections, and residual stress are investigated and discussed in this paper.

Moment-curvature relationships to estimate deflections and second-order moments in wind-loaded RC chimneys and towers

  • Menon, Devdas
    • Wind and Structures
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    • 제1권3호
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    • pp.255-269
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    • 1998
  • Second-order moments of considerable magnitude arise in tall and slender RC chimneys and towers subject to along-wind loading, on account of eccentricities in the distributed self-weight of the tower in the deflected profile. An accurate solution to this problem of geometric nonlinearity is rendered difficult by the uncertainties in estimating the flexural rigidity of the tower, due to variable cracking of concrete and the 'tension stiffening' effect. This paper presents a rigorous procedure for estimating deflections and second-order moments in wind-loaded RC tubular towers. The procedure is essentially based on a generalised formulation of moment-curvature relationships for RC tubular towers, derived from the experimental and theoretical studies reported by Schlaich et al. 1979 and Menon 1994 respectively. The paper also demonstrates the application of the proposed procedure, and highlights those conditions wherein second-order moments become too significant to be overlooked in design.

Inelastic analysis for the post-collapse behavior of concrete encased steel composite columns under axial compression

  • Ky, V.S.;Tangaramvong, S.;Thepchatri, T.
    • Steel and Composite Structures
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    • 제19권5호
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    • pp.1237-1258
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    • 2015
  • This paper proposes a simple inelastic analysis approach to efficiently map out the complete nonlinear post-collapse (strain-softening) response and the maximum load capacity of axially loaded concrete encased steel composite columns (stub and slender). The scheme simultaneously incorporates the influences of difficult instabilizing phenomena such as concrete confinement, initial geometric imperfection, geometric nonlinearity, buckling of reinforcement bars and local buckling of structural steel, on the overall behavior of the composite columns. The proposed numerical method adopts fiber element discretization and an iterative M${\ddot{u}}$ller's algorithm with an additional adaptive technique that robustly yields solution convergence. The accuracy of the proposed analysis scheme is validated through comparisons with various available experimental benchmarks. Finally, a parametric study of various key parameters on the overall behaviors of the composite columns is conducted.

막 구조물에 관한 형상 탐색과 재단도 결정법 (A Shape Finding and Cutting Pattern Determination for Membrane Structures)

  • 최호;이장복;김재열;서삼열;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.175-182
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    • 1998
  • The object of this study is shape finding and cutting pattern generation of membrane structures under the following assumptions : (1) material is linearly elastic (2) stress state is plane stress. Cable and membrane structures should introduce the nonlinear analysis considering geometric nonlinearity because these structures deform largely under the external loads. The analysis procedure is consisted of three steps considering geometric nonlinearity unlike any other structures. First step is the shape finding analysis to determine the initial equilibrium shape. Second step is the stress-deformation analysis to investigate the behaviors of structures under various external loads. Once a satisfactory shape has been found, a cutting pattern based on the shape finding analysis may be generated from the view point of construction. In this paper, (1) shape finding analysis formulation and an example, (2) cutting pattern determination procedure using weighted least-square minimization flattening method and some results are presented.

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막 구조물의 재단 패턴 결정에 관한 연구 (A Study on the Cutting Pattern Determination for Fabric Structures)

  • 최호;이장복;김재열;서삼열;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.266-273
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    • 1998
  • The object of this study is shape finding and cutting pattern generation of membrane structures under the following assumptions: (1) material is linearly elastic (2) stress state is plane stress. Cable and membrane structures should introduce the nonlinear analysis considering geometric nonlinearity because these structures deform largely under the external loads. The analysis procedure is consisted of three steps considering geometric nonlinearity unlike any other structures. First step is the shape finding analysis to determine the initial equilibrium shape. Second step is the stress-deformation analysis to investigate the behaviors of structures under various external loads. Once a satisfactory shape has been found, a cutting pattern based on the shape finding analysis may be generated from the view point of construction. In this paper, after shape finding analysis, cutting pattern determination procedure using weighted least-square minimization flattening method and some results are presented.

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면내/면외 변형이 있는 회전 링의 진동해석을 위한 비선형 모델링 (Nonlinear Modelling for the Vibration Analysis of a Rotating Ring with the In-Plane/Out-of-Plane Deformations)

  • 김원석;정진태
    • 대한기계학회논문집A
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    • 제27권1호
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    • pp.42-47
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    • 2003
  • Nonlinear models for a thin ring rotating at a constant speed are developed. The geometric nonlinearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton’s principle, the coupled nonlinear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from the nonlinear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the behavior of the rotating ring.

GEOMETRICALLY AND MATERIALLY NONLINEAR ANALYSIS FOR A COMPOSITE PRESSURE VESSEL

  • 도영대;김형근
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1995년도 제4회 학술강연회논문집
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    • pp.141-153
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    • 1995
  • An incremental Total Lagrangian Formulation is implemented for the finite element analysis of laminated composite pressure vessel with consideration of the material and geometric nonlinearities. For large displacements/large rotations due to geometric nonlinearities, the incremental equations are derived using a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. This approach leads to a complete tangent stiffness matrix. For material nonlinearity, the analysis is performed by using the piecewise linear method, taking account of the nonlinear shear stress-strain relation. The results of numerical tests include the large deflection behavior of the selected composite shell problem. When compared with the previous analysis, tile results are in good agreement with them. As a practical example, filament wound pressure vessel is analyzed with consideration of the geometrically and materially nonlinearity. The numerical results agree fairly well with the existing experimental results.

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