• 제목/요약/키워드: In-Plane Bending

검색결과 492건 처리시간 0.025초

Delamination of non-linear viscoelastic beams under bending in the plane of layers

  • Victor I. Rizov
    • Coupled systems mechanics
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    • 제12권4호
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    • pp.297-313
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    • 2023
  • This paper deals with delamination analysis of non-linear viscoelastic multilayered beam subjected to bending in the plane of the layers. For this purpose, first, a non-linear viscoelastic model is presented. In order to take into account the non-linear viscoelastic behaviour, a non-linear spring and a non-linear dashpot are assembled in series with a linear spring connected in parallel to a linear dashpot. The behaviours of the non-linear spring and dashpot are described by applying non-linear stress-strain and stress-rate of strain relationships, respectively. The constitutive law of the model is derived. Due to the non-linear spring and dashpot, the constitutive law is non-linear. This law is used for describing the time-dependent mechanical behaviour of the beam under consideration. The material properties involved in the constitutive law vary along the beam length due to the continuous material inhomogeneity of the layers. Solution of the strain energy release rate for the delamination is obtained by analyzing the balance of the energy with considering of the non-linear viscoelastic behaviour. The strain energy release rate is found also by using the complementary strain energy for verification. A parametric study is carried-out by using the solution obtained. The solutions derived and the results obtained help to understand the time-dependent delamination of non-linear viscoelastic beams under loading in the plane of layers.

컨테이너선의 최종 종강도 평가를 위한 비선형 유한요소 해석의 적용 (Nonlinear Finite Element Analysis for Ultimate Hull Girder Strength of Container Ship)

  • 염철웅;문정우;노인식
    • 대한조선학회논문집
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    • 제52권4호
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    • pp.349-355
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    • 2015
  • Through the recent accident, the checking of ultimate hull girder capacity for container ship should be needed. Smith’s method is well known as the only simplified method to access rapidly for ultimate hull girder capacity except very expensive nonlinear F.E approach. This simplified method, however, is admitted to apply only to bulker and tanker in accordance with Classification Rules up to now. The targets of this study are to verify effectiveness of the simplified method for container ship’s ultimate hull girder strength and to propose the safety factor considering the local bending in double bottom structures due to out of plane loads through the nonlinear F.E analyses. Two different sized ships and three loading conditions which are pure bending, homo-loading and one-bay empty condition were used for this study. Based on the F.E results, the present study showed that CSR’s simplified method is available for the ultimate hull girder strength of container ship and over 1.2 of safety factor should be applied to consider the local bending effect in double bottom structures due to out of plane loads such as sea pressure an cargo.

Fourier series expansion method for plated-structures

  • Deng, Jiann-Gang;Cheng, Fu-Ping
    • Structural Engineering and Mechanics
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    • 제8권4호
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    • pp.343-360
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    • 1999
  • This work applies a structural analysis method based on an analytical solution from the Fourier series which transforms a half-range cosine expansion into a static solution involving plated structures. Two sub-matrices of in-plane and plate-bending problems are also formulated and coupled with the prescribed boundary conditions for these variables, thereby providing a convenient basis for a numerical solution. In addition, the plate connection are introduced by describing the connection between common boundary continuity and equilibrium. Moreover, a simple computation scheme is proposed. Numerical results are then compared with finite element results, demonstrating the numerical scheme's versatility and accuracy.

Ultimate strength of stiffened panels subjected to non-uniform thrust

  • Anyfantis, Konstantinos N.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.325-342
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    • 2020
  • The current study is focused on the evaluation of the ultimate strength of stiffened panels found in ship hull structures that are subjected to combined uniaxial thrust, in-plane and out-of-plane bending moments. This loading condition, which is in general ignored when performing buckling checks, applies to representative control geometries (stiffener with attached plating) as a consequence of the linearly varying normal stresses along the ship's depth induced by the hull-girder vertical bending moment. The problem is generalized by introducing a non-uniform thrust described by a displacement ratio and rotation angle and by introducing the slenderness ratios, within the practical range of interest. The formed design space is explored through methods sourcing from Design of Experiments and by applying non-linear finite element procedures. Surrogate empirical models have been constructed through regression analysis and Response Surface Methods. An additional empirical model is provided to the literature for predicting the ultimate strength under uniaxial thrust. The numerical experimentation has shown that is a significant influence on the ultimate strength of stiffened panels as the thrust non-uniformity increases.

홀로그래피 간섭계를 이용한 미소변위 측정 (Small Displacement Measurement by Holographic Interferometry)

  • 이해중;황운봉;박현철
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.864-872
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    • 1992
  • 본 연구에서는 이중노출 홀로그래피 간섭계의 원리를 이용하여 임의의 2차원 적 변형에 있어서 면외 변위와 면변위(in-plane displacement) 각각에 대한 홀로그램 을 제작하고 이를 컴퓨터에 입력하여 간섭무늬를 해석함으로써 변위와 변형률의 정량 화를 시도하였다.

Crack constitutive model for the prediction of punching failure modes of fiber reinforced concrete laminar structures

  • Ventura-Gouveia, A.;Barros, Joaquim A.O.;Azevedo, Alvaro F.M.
    • Computers and Concrete
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    • 제8권6호
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    • pp.735-755
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    • 2011
  • The capability of a multi-directional fixed smeared crack constitutive model to simulate the flexural/punching failure modes of fiber reinforced concrete (FRC) laminar structures is discussed. The constitutive model is implemented in a computer program based on the finite element method, where the FRC laminar structures were simulated according to the Reissner-Mindlin shell theory. The shell is discretized into layers for the simulation of the membrane, bending and out-of-plane shear nonlinear behavior. A stress-strain softening diagram is proposed to reproduce, after crack initiation, the evolution of the normal crack component. The in-plane shear crack component is obtained using the concept of shear retention factor, defined by a crack-strain dependent law. To capture the punching failure mode, a softening diagram is proposed to simulate the decrease of the out-of-plane shear stress components with the increase of the corresponding shear strain components, after crack initiation. With this relatively simple approach, accurate predictions of the behavior of FRC structures failing in bending and in shear can be obtained. To assess the predictive performance of the model, a punching experimental test of a module of a façade panel fabricated with steel fiber reinforced self-compacting concrete is numerically simulated. The influence of some parameters defining the softening diagrams is discussed.

혁신적 프리스트레스트 가시설 구조시스템(IPS)을 적용한 굴착면의 해석 및 설계 (Design of Building Excavation Plane in Innovative Prestressed Scaffolding(IPS) System)

  • 김성보;한만엽;김문영;정경환
    • 대한토목학회논문집
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    • 제26권1A호
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    • pp.163-171
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    • 2006
  • 본 논문에서는 프리스트레스를 이용한 가시설 공법(IPS)에 적용되는 띠장을 이용한 굴착면의 해석 및 설계절차에 대한 연구를 수행하였다. 받침대의 갯수에 따라 설계토압을 받는 IPS 띠장의 초기 긴장력 계산식을 유도하였다. IPS 띠장으로 구성된 빌딩 굴착면의 전산해석을 위해 띠장은 뼈대요소, 지반은 압축력 전담요소, 케이블은 인장력 전담요소를 사용하여 등분포토압 및 편토압을 받는 굴착평면의 전산해석을 수행하였다. 긴장력과 설계토압에 의한 축력과 휨모멘트를 계산하여 축응력과 휨응력을 산출하고 합성응력검토를 수행하여 굴착면의 안전성을 검토하였다.

감육이 존재하고 내압을 받는 T 분기관의 한계하중 평가식 (Limit Load Solutions for Piping Branch Junctions with local wall-thinning under Internal Pressure)

  • 류강묵;김윤재;이국희;박치용;이성호;김태룡
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1813-1817
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    • 2007
  • The present work presents plastic limit load solutions for piping branch junctions with local wall-thinning, based on detailed three-dimensional (3-D) and small strain FE limit analyses using elastic-perfectly plastic materials. Three types of loading are considered; internal pressure, in-plane bending on the branch pipe and in-plane bending on the run pipe. The wall-tinning located on variable area of the piping branch junction is considered. A wide range of piping branch junction and wall-thinning geometries are considered. Comparison of the proposed solutions with FE results shows good agreement

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Fatigue Strength and Fracture Behaviour of CHS-to-RHS T-Joints Subjected to Out-of-Plane Bending

  • Bian, Li-Chun;Lim, Jae-Kyoo;Kim, Yon-Jig
    • Journal of Mechanical Science and Technology
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    • 제17권2호
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    • pp.207-214
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    • 2003
  • The fatigue behaviour of six different hollow section T-joints subjected to out-of-plane bending moment was investigated experimentally using scaled steel models. The joints had circular brace members and rectangular chord members. Hot spot stresses and the stress concentration factors. (SCFs) were determined experimentally. Fatigue testing was carried out under constant amplitude loading in air. The test results have been statistically evaluated, and show that the experimental SCF values for circular-to-rectangular (CHS-to-RHS) hollow section joints were found to be below those of circular-to-circular (CHS-to-CHS) hollow section joints. The fatigue strength, referred to experimental hot spot stress, was in reasonably good agreement with referred fatigue design codes for tubular joints.

Behavior of light weight sandwich panels under out of plane bending loading

  • Ganapathi, S. Chitra;Peter, J. Annie;Lakshmanan, N.;Iyer, N.R.
    • Steel and Composite Structures
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    • 제21권4호
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    • pp.775-789
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    • 2016
  • This paper presents the flexural behavior & ultimate strength performance of innovative light weight sandwich panels of size $3{\times}1.2m$ with two different solidity ratios viz. 0.5 and 0.33 under out of plane bending load. From the experimental studies, it is observed that the flexural strength and the stiffness are increased by about 46% and five folds for lesser solidity ratio case. From the measured strains of the shear connectors, full shear transfer between the concrete wythes is observed. The yielding occurred approximately at 4% and 0.55% of the ultimate deformation for 100 mm & 150 mm thick panels, which shows the large ductility characteristics of the panels. From the study, it is inferred that the light weight sandwich panels behave structurally in a very similar manner to reinforced concrete panels. Further from the numerical study, it is observed that the numerical values obtained by FE analysis are in good agreement with the experimental observations.