• Title/Summary/Keyword: Finite Element-Transfer Matrix

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A new 3D interface element for three dimensional finite element analysis of FRP strengthened RC beams

  • Kohnehpooshi, O.;Noorzaei, J.;Jaafar, M.S.;Saifulnaz, M.R.R.
    • Interaction and multiscale mechanics
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    • v.4 no.4
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    • pp.257-271
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    • 2011
  • The analysis of interfacial stresses in structural component has been the subject of several investigations but it still requires more effort and studies. In this study a general three-dimensional interface element has been formulated for stress and displacement analyses in the interfacial area between two adjacent plate bending element and brick element. Interface element has 16 nodes with 5 degrees of freedom (DOF) in each node adjacent to plate bending element and 3 DOF in each node adjacent to brick element. The interface element has ability to transfer three translations from each side of interface element and two rotations in the side adjacent to the plate element. Stiffness matrix of this element was formulated and implemented in three-dimensional finite element code. Application of this element to the reinforced concrete (RC) beam strengthened with fiber reinforced polymer (FRP) including variation of deflection, slip between plate and concrete, normal and shear stresses distributions in FRP plates have been verified using experimental and numerical work of strengthened RC beams carried out by some researchers. The results show that this interface element is effective and can be used for structural component with these types of interface elements.

An investigation on the vibrations of laminated shells under aeroacoustic loads using a WFE approach

  • Errico, Fabrizio;Franco, F.;Ichchou, M.;De Rosa, S.;Petrone, G.
    • Advances in aircraft and spacecraft science
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    • v.6 no.6
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    • pp.463-478
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    • 2019
  • The present work investigates the effect on the flow-induced vibrations of the lay-up sequence of composite laminated axisymmetric structures, using an hybrid approach based on a wave finite element and a transfer matrix method. The structural vibrations, under deterministic distributed pressure loads, diffuse acoustic field and turbulent boundary layer excitations, are analysed and compared. A multi-scale approach is used for the dynamic analysis of finite structures, using an elementary periodic subsystem. Different flow regimes and shell curvatures are analysed and the computational efficiency is also discussed.

A Study on the Influence of its Constituents on the Creep Behavior of High Temperature Composite Materials (고온용 복합재료의 크립 거동에 있어서 구성요소의 영향에 대한 연구)

  • 박용환
    • Journal of the Korean Society of Safety
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    • v.13 no.2
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    • pp.45-53
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    • 1998
  • A method to predict the creep behavior of fiber-reinforced ceramic composites at high temperatures was suggested based on finite element modeling using constituent creep equations of fiber and matrix and showed good agreement with the experimental results. The effects of matrix creep behavior, fiber volume fraction, and residual stresses on the composite creep behavior were also investigated. The results showed that the primary behavior of composites was greatly affected by that of matrix but post-primary behavior was governed by fiber creep characteristics. The increase of fiber volume fraction from 15 vol% to 30 vol% caused the 50% and 40% decrease of steady-state creep rates and total creep strains at $1200^{\circ}C$, 180MPa, respectively. Feasible compressive residual stresses in the matrix caused by different thermal expansion coefficients between the fiber and the matrix could significantly reduce total creep strains of the composite. The creep deformation mechanism in the fiber-reinforced ceramic composites could be explained by the stress transfer and redistribution in the fiber and matrix due to different creep characteristics of its constituents.

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Numerical Modeling of Heat Transfer for Squeeze Casting of MMCs (용탕주조법을 이용한 금속복합재료 제조공정의 열전달 해석)

  • Jung, Chang-Kyu;Jung, Sung-Wook;Nam, Hyun-Wook;Han, Kyung-Seop
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.2104-2113
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    • 2002
  • A finite element model is developed for the process of squeeze casting of metal matrix composites (MMCs) in cylindrical molds. The fluid flow and the heat transit. are fundamental phenomena in squeeze casting. To describe heat transfer in the solidification of molten aluminum, the energy equation is written in terms of temperature and enthalpy are applied in an axisymmetric model which is similar to the experimental system. A one dimensional flow model simulates the transient metal flow. A direct iteration technique was used to solve the resulting nonlinear algebraic equations, using a computer program to calculate the enthalpy, temperature and fluid velocity. The cooling curves and temperature distribution during infiltration and solidification were calculated fer pure aluminum. Experimentally, the temperature was measured and recorded using thermocouple wire. The measured time-temperature data were compared with the calculated cooling curves. The resulting agreement shows that the finite element model can accurately estimate the solidification time and predict the cooling process.

Transfer matrix formulations and single variable shear deformation theory for crack detection in beam-like structures

  • Bozyigit, Baran;Yesilce, Yusuf;Wahab, Magd Abdel
    • Structural Engineering and Mechanics
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    • v.73 no.2
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    • pp.109-121
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    • 2020
  • This study aims to estimate crack location and crack length in damaged beam structures using transfer matrix formulations, which are based on analytical solutions of governing equations of motion. A single variable shear deformation theory (SVSDT) that considers parabolic shear stress distribution along beam cross-section is used, as well as, Timoshenko beam theory (TBT). The cracks are modelled using massless rotational springs that divide beams into segments. In the forward problem, natural frequencies of intact and cracked beam models are calculated for different crack length and location combinations. In the inverse approach, which is the main concern of this paper, the natural frequency values obtained from experimental studies, finite element simulations and analytical solutions are used for crack identification via plots of rotational spring flexibilities against crack location. The estimated crack length and crack location values are tabulated with actual data. Three different beam models that have free-free, fixed-free and simple-simple boundary conditions are considered in the numerical analyses.

A Study on Modeling for the Magnetic Bearing System by Numerical Analysis (수치 해석을 통한 자기 베어링 시스템의 모델링에 관한 연구)

  • Shim, S.H.;Choi, M.S.;Kim, C.H.;Moon, D.H.;Yang, J.H.
    • Journal of Power System Engineering
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    • v.5 no.4
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    • pp.53-60
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    • 2001
  • This paper considers a modeling for the MIMO magnetic bearing system. The rotor is flexible and has a complex shape. To obtain the nominal plant transfer functions, we perform a numerical analysis by using the finite element method(F.E.M.) for the rotor's dynamics, and make a nominal model by reducing the modes from the results. And, we have experimented on the frequency response by a closed-loop identification method, and compared it with the simulation's result on the closed-loop control system.

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Acoustic Radiation from Radial Vibration Modes of a Thick Annular Disk (후판 환형 디스크 래디얼 모드에 의한 음향방사에 관한 연구)

  • Lee, Hyeongill
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.4 s.97
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    • pp.412-420
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    • 2005
  • This article proposes analytical solutions for sound radiation from radial vibration modes of a thick annular disk. Structural eigensolutions are calculated using the transfer matrix method. The far-field sound pressure distribution is obtained using two alternate methods. In the first method, pressure is calculated using the Rayleigh integral technique. The second method treats sound radiating radial surfaces as cylindrical radiators of finite length. The Sinc function approach is employed for calculations. Acoustic powers and radiation efficiencies of radial modes are also determined from the far-field sound pressure calculations. Analytical predictions match well with measured data as well as computational results from a finite element code in terms of structural eigensolutions and from a boundary element code in terms of sound pressure, directivity etc.

Coupld Free Lateral Vibration Analysis of Shafting by the Finite Element Method (유한요소법(有限要素法)에 의(依)한 축계(軸系)의 연성자유횡진동해석(聯成自由橫振動解析)에 관(關)한 연구(硏究))

  • Si-Young,Ahn
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.4
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    • pp.19-24
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    • 1986
  • Coupled lateral vibrations of shafting is analyzed by the Finite Element Method. In the problem formulation axial force, elastic foundation effects and rotary inertia effects are taken into account. A computer program is developed to calculate natural frequencies of the shafting, and used to calculate natural frequencies of the experimental model shafting, which the author used for the paper[11]. The results show good agreement with the measured values. The results are also compared with those of the Transfer Matrix Method. From the comparison it is found that both results agree each other.

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Bond-slip effect in steel-concrete composite flexural members: Part 1 - Simplified numerical model

  • Lee, WonHo;Kwak, Hyo-Gyoung;Hwang, Ju-young
    • Steel and Composite Structures
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    • v.32 no.4
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    • pp.537-548
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    • 2019
  • This paper introduces an improved numerical model which can consider the bond-slip effect in steel-concrete composite structures without taking double nodes to minimize the complexity in constructing a finite element model. On the basis of a linear partial interaction theory and the use of the bond link element, the slip behavior is defined and the equivalent modulus of elasticity and yield strength for steel is derived. A solution procedure to evaluate the slip behavior along the interface of the composite flexural members is also proposed. After constructing the transfer matrix relation at an element level, successive application of the constructed relation is conducted from the first element to the last element with the compatibility condition and equilibrium equations at each node. Finally, correlation studies between numerical results and experimental data are conducted with the objective of establishing the validity of the proposed numerical model.

Calculation of Transverse Vibration of Ship`s Propulsion Shaftings by the Finite Element Method (有限要素法에 의한 推進軸系의 광振動計算에 관한 硏究)

  • Jeon, Hio-Jung;Kim, Hi-Cheol
    • Journal of Advanced Marine Engineering and Technology
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    • v.3 no.1
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    • pp.2-18
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    • 1979
  • Due to increasing ship dimensions and installed propulsive power, resonance frequencies of the propeller shaft system tend to decrease and they can appear in some cases within the operating range of the shaft revolution. For calculation of transverse shaft vibrations, various methods have been proposed but as they are mainly for approximate calculation, no contented results are obtained. For fairly accurate estimation of resonance frequencies in the design stage, one can use transfer matrix method of the finite element method and former is rather prefered in ordinary cases. In this study, the finite element method which is utilized for calculation of the propulsion shaft alignment, is introduced to derive the vibration equation of the ship's propulsion shaftings. The digital computer program is developed to solve the above equation, and the details of preparing the input data are described. The method presented in the underlying report was applied to the shafting of ship which has a lignumvitae bearing to verify its reliability and the results of calculation and those of the measurements on rotating shaft show a good agreement. Calculating methods of exciting of forces and damping forces are also discussed for future work.

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