• 제목/요약/키워드: layered beams

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Assessment of geometric nonlinear behavior in composite beams with partial shear interaction

  • Jie Wen;Abdul Hamid Sheikh;Md. Alhaz Uddin;A.B.M. Saiful Islam;Md. Arifuzzaman
    • Steel and Composite Structures
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    • 제48권6호
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    • pp.693-708
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    • 2023
  • Composite beams, two materials joined together, have become more common in structural engineering over the past few decades because they have better mechanical and structural properties. The shear connectors between their layers exhibit some deformability with finite stiffness, resulting in interfacial shear slip, a phenomenon known as partial shear interaction. Such a partial shear interaction contributes significantly to the composite beams. To provide precise predictions of the geometric nonlinear behavior shown by two-layered composite beams with interfacial shear slips, a robust analytical model has been developed that incorporates the influence of significant displacements. The application of a higher-order beam theory to the two material layers results in a third-order adjustment of the longitudinal displacement within each layer along the depth of the beam. Deformable shear connectors are employed at the interface to represent the partial shear interaction by means of a sequence of shear connectors that are evenly distributed throughout the beam's length. The Von-Karman theory of large deflection incorporates geometric nonlinearity into the governing equations, which are then solved analytically using the Navier solution technique. Suggested model exhibits a notable level of agreement with published findings, and numerical outputs derived from finite element (FE) model. Large displacement substantially reduces deflection, interfacial shear slip, and stress values. Geometric nonlinearity has a significant impact on beams with larger span-to-depth ratio and a greater degree of shear connector deformability. Potentially, the analytical model can accurately predict the geometric nonlinear responses of composite beams. The model has a high degree of generality, which might aid in the numerical solution of composite beams with varying configurations and shear criteria.

가우스 적분점을 수정한 2차원 6-절점 요소 및 3차원 16-절점 요소에 의한 자유진동해석 (The Free Vibration Analyses by Using Two Dimensional 6-Node Element and Three Dimensional 16-Node element with Modification of Gauss Sampling Point)

  • 김정운;경진호;권영두
    • 대한기계학회논문집
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    • 제18권11호
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    • pp.2922-2931
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    • 1994
  • We propose a modified 6-node element, where the sampling point of Gauss quadrature moved in the thickness direction. The modified 6-node element has been applied to static problems and forced motion analyses. In this study, this method is extended to the finite element analysis of the natural frequencies of two dimensional problems. We also propose a modified 16-node element for three dimensional problems, which behaves much like a 20-node element with smaller degree of freedom. The modified 6-node and 16-node elements have been applied to the modal analyses of beams and plates, respectively. The results agree well with the results of the 8-node or 20-node element models.

굽힘진동 감쇠를 위한 구속층의 최적설계에 관한 연구 (A Study on the Optimum Design of Constrained layer for the Damping of Flexural Vibration)

  • 김사수;이민우
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 춘계학술대회논문집; 경주코오롱호텔; 22-23 May 1997
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    • pp.95-101
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    • 1997
  • A general method is presented for the analysis of the damping effectiveness of viscoelastic layer applied to elastic beam. The damping is attributed to the shear deformations of the treatment. Specific results are then given for sandwich beams with dissipative cores. The calculated results by this method are validated by comparison with the experimental results. Optimum design of a viscoelastic damping layer which is constrainedly cohered on a steel beam is discussed from the viewpoint of the modal loss factor. An object function is a loss factor of 3-layered beam and design variable is the thickness of constraining layer and viscoelastic layer. Optimum thickness can be obtained when 3-layered beam has a maximum loss factor.

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모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석 (Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship.)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.190-197
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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Flexural Modeling of Strengthened Reinforced Concrete Beam with Nonlinear Layered Finite Element Method

  • Kim, Min-Kyung;Lee, Cha-Don
    • KCI Concrete Journal
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    • 제11권3호
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    • pp.115-126
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    • 1999
  • An analytical method based on the nonlinear layered finite element method is developed to simulate an overall load-deflection behavior of strengthened beams. The developed model distinguishes itself by its capability to trace residual flexural behavior of a beam after the fracture of brittle strengthening materials at peak load. The model. which uses a rather advanced numerical technique for iterative convergence to equilibrium, can be regarded as superior to the two models based on load control and displacement control The model predictions were compared with the experimental results and it was observed that there was good agreement between them.

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일반 모르타르를 이용한 분절 복합체의 정하중 및 충격하중 실험 (Behavior of Segmented Composites Using General Mortar under Static and Impact Loading)

  • 김율희;민경환;이재성;윤영수
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 추계 학술발표회 제20권2호
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    • pp.33-36
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    • 2008
  • 조개껍질과 같이 얇은 요소들이 생체적인 접착제에 의해서 겹겹이 쌓여 층 구조를 이루는 패각은 정적하중 및 충격하중에 대하여 뛰어난 저항 성능을 보이는 것으로 알려져 있다. 이러한 다양한 층 구조의 복합재료는 두 개의 서로 다른 매질이 적층되면서 단일 재질의 경우보다 충격, 완화 효율이 극대화될 것이라 판단된다. 본 연구에서는 충격을 견디고 최소화시키기 위한 분절 복합체(Segmented Composites)로써 층 구조의 형태를 가지는 복합 재료를 개발하기 위해 일반 모르타르와 일반 콘크리트 블록을 이용한 보 형태의 분절 복합체 부재를 제작하여 정적하중 및 충격하중 실험을 실시하였다. 그리고 분절 복합체의 성능 및 파괴형태를 콘크리트 블록과 같은 강도로 제작된 콘크리트 보 부재와 비교하였다.

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Flexural Characteristics of the Overlayed RC Beam Strengthened with Rebars, CFRP, and Steel Plate.

  • 오홍섭;심종성;이차돈;최완철;신영수;홍기섭;홍영균
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.221-229
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    • 1996
  • An analytical method based on the nonlinear layered finite element method is used to simulate the load-deflection behavior of strengthened beam. Beams considered in this study are the ones strengthened either with external steel plate or Carbon Fiber Reinforced Plastic (CFRP) sheets bonded to the overlay soffit or with reinforcing rebars in the overlay. The theoretically obtained load-deflections and strains of the strengthened beam are compared to the corresponding experimental values. Comparing the approximate measures on the cumulative slips, efficiencies of the repairing techniques are evaluated. Parametric studies are, then, peformed using the developed model to investigate the effects of design variables on the overal flexural behavior of the strengthened beam. Simply supported beams under monotonically increasing symmetrical loads are considered exclusively.

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Analysis of natural frequencies of delaminated composite beams based on finite element method

  • Krawczuk, M.;Ostachowicz, W.;Zak, A.
    • Structural Engineering and Mechanics
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    • 제4권3호
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    • pp.243-255
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    • 1996
  • This paper presents a model of a layered, delaminated composite beam. The beam is modelled by beam finite elements, and the delamination is modelled by additional boundary conditions. In the present study, the laminated beam contains only one delaminated region through the thickness direction which extends to the full width of the beam. It is also assumed that the delamination is open. The influence of the delamination length and position upon changes in the bending natural frequencies of the composite laminated cantilever beam is investigated.

Vibration Analysis of the Active Multi-Layer Beams by Using Spectrally Formulated Exact Natural Modes

  • Lee, Usik;Kim, Joohong;Andrew Y. T. Leung
    • Journal of Mechanical Science and Technology
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    • 제15권2호
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    • pp.199-209
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    • 2001
  • Modal analysis method (MAM) is introduced for the fully coupled structural dynamic problems. In this paper, the beam with active constrained layered damping (ACLD) treatment is considered as a representative problem. The ACLD beam consists of a viscoelastic layer that is sandwiched between the base beam structure and an active piezoelectric layer. The exact damped natural modes are spectrally formulated from a set of fully coupled dynamic equations of motion. The orthogonality property of the exact damped natural modes is then derived in a closed form to complete the modal analysis method. The accuracy of the present MAM is evaluated through some illustrative examples: the dynamic characteristics obtained by the present MAM are compared with the results by spectral element method (SEM) and finite element method (FEM). It is numerically proved that MAM solutions become identical to the accurate SEM solutions as the number of exact natural used in MAM is increased.

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Probabilistic Analysis of Reinforced Concrete Beam and Slab Deflections Using Monte Carlo Simulation

  • Choi, Bong-Seob;Kwon, Young-Wung
    • KCI Concrete Journal
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    • 제12권2호
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    • pp.11-21
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    • 2000
  • It is not easy to correctly predict deflections of reinforced concrete beams and one-way slabs due to the variability of parameters involved in the calculation of deflections. Monte Carlo simulation is used to assess the variability of deflections with known statistical data and probability distributions of variables. A deterministic deflection value is obtained using the layered beam model based on the finite element approach in which a finite element is divided into a number of layers over the depth. The model takes into account nonlinear effects such as cracking, creep and shrinkage. Statistical parameters were obtained from the literature. For the assessment of variability of deflections, 12 cases of one-way slabs and T-beams are designed on the basis of ultimate moment capacity. Several results of a probabilistic study are presented to indicate general trends indicated by results and demonstrate the effect of certain design parameters on the variability of deflections. From simulation results, the variability of deflections relies primarily on the ratio of applied moment to cracking moment and the corre-sponding reinforcement ratio.

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