• Title/Summary/Keyword: Laminated

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Vibration and Buckling Analysis of Laminated Composite Plates using RM Isogeometric General Plate Element (RM 등기하 판요소를 이용한 적층판의 자유진동 및 선형좌굴 해석)

  • Kim, Ha-Ryong;Lee, Sang-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.14 no.2
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    • pp.59-68
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    • 2014
  • A study on the vibration and buckling analyses of laminated composite plates is described in this paper. In order to carry out the analyses of laminated composite plates, a NURBS-based isogeometric general plate element based on Reissner-Mindlin (RM) theory is developed. The non-uniform rational B-spline (NURBS) is used to represent the geometry of plate and the unknown displacement field and therefore, all terms required in this element formulation are consistently derived by using NURBS basis function. Numerical examples are conducted to investigate the accuracy and reliability of the present plate element. From numerical results, the present plate element can produce the isogeometric solutions with sufficient accuracy. Finally, the present isogeometric solutions are provided as future reference solutions.

Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

  • Chen, Jiangying;Xu, Rongqiao;Huang, Xusheng;Ding, Haojiang
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.115-127
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    • 2006
  • The axisymmetric free vibrations of transversely isotropic magnetoelectroelastic laminated circular plates are studied. Based on the three-dimensional governing equations of magnetoelectroelastic medium, the state space equations of laminated circular plates are obtained. By using the finite Hankel transform and rendering the free terms left by the transform in terms of the boundary quantities, the solutions of the state space equations are given for two kinds of boundary conditions. The frequency equations of the free vibration are derived using the propagator matrix method and the boundary conditions at top and bottom surfaces. By virtue of the inverse Hankel transform, the mode shapes are also determined. Since the solutions strictly satisfy the governing equations in the region and the boundary conditions at the edges, they are the three-dimensionally exact. Finally, the natural frequencies of such plates are tabulated and compared with those of the piezoelectric and elastic plates in the numerical example.

Free Vibration of Orthotropic Laminated Composite Conical Shells (직교이방성 적층 복합재료 원추셸의 자유진동)

  • 이영신;강인식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.595-603
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    • 1989
  • Free vibration of orthotropic laminated composite conical shells with constant thickness are considered. Governing frequency equations are derived based on the Flugge theory and Galerkin method is applied for the numerical analysis. Comparisons are made between present results and others for the isotropic conical shells and numerical results are obtained based on these results for the specially orthotropic laminated composite conical shells with simply supported edges. Variations of frequency parameter on the change of material properties, stacking sequences, stacking number, geometrical parameters and orthotropic parameters are considered in the analysis.

Buckling Analysis of Laminated Composite Cylindrical Shells with Nonlinear Prebuckling (비선형전좌굴을 고려한 복합적층원통셸의 좌굴해석)

  • 원종진;이종선
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.3
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    • pp.13-20
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    • 1994
  • The effects of prebuckling on the buckling of laminated composite cylindrical shells are investigated. Both axial compression and lateral pressure are considered for laminated composite cylindrical shells with length to radius ratios usually associated with container vessels. The shell walls are made of a laminate with several symmetric ply orientations. The study was made using finite difference energy method, utilizing the nonlinear bifurcation branch with nonlinear prebuckling displacements. The results are compared to the buckling loads determined when prebuckling displacements are neglected.

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Optimal Ply Design of Laminated Composite Plate with a Hole Considering Vibration (진동을 고려한 원공복합적층판의 최적적층설계)

  • 홍도관;김동영;최경호;안찬우
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.6
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    • pp.423-429
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    • 2003
  • On this study. we improved the efficiency applying algorithm that is repeatedly using table of orthogonal array in discrete design space and filling a defect of gradient method in continuous design space. we showed optimal ply angle that maximized 1st natural frequency of CFRP laminated composite plate without a hole and with a hole by each aspect ratio. In the case of CFRP laminated composite plate without a hole, we confirmed the reliance and efficiency of algorithm in comparison with the result of optimization achievement repeatedly using statistical table of orthogonal array of experimental design and the BFGS optimal design method.

Iron Loss Comparison between Soft Magnetic Composite Core and Laminated Steel Core in Axial Flux Machine (축방향 자속형 전동기에서 연자성복합체 코어와 적층 전기강판 코어의 철손 비교)

  • Lee, Minhyeok;Nam, Kwanghee
    • Proceedings of the KIPE Conference
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    • 2015.11a
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    • pp.217-218
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    • 2015
  • Two axial flux permanent magnet (AFPM) machines using soft magnetic composite (SMC) and lamination steel are studied. Generally stator cores of AFPM machines are manufactured using SMC because AFPM machines need 3 dimensional core structures. However, SMC cores have very disadvantages in magnetic properties. Especially permeability value is much lower than that of lamination steel, so magnetic field density is also lower. In terms of core losses, SMC cores have much larger loss values than lamination steel cores because SMC core can't be laminated. In this study, AFPM machine was designed using laminated steel, and iron losses in two machines using SMC and laminated steel were studied. Simulations were carried out by a commercial 3-D FEM tool.

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Shear buckling analysis of laminated plates on tensionless elastic foundations

  • Dong, Jianghui;Ma, Xing;Zhuge, Yan;Mills, Julie E.
    • Steel and Composite Structures
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    • v.24 no.6
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    • pp.697-709
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    • 2017
  • The current study addresses the local buckling analysis of an infinite thin rectangular symmetrically laminated composite plate restrained by a tensionless Winkler foundation and subjected to uniform in-plane shear loading. An analytic method (i.e., one-dimensional mathematical method) is used to achieve the analytical solution estimate of the contact buckling coefficient. In addition, to study the effect of ply angle and foundation stiffness on the critical buckling coefficients for the laminated composite plates, the parametric studies are implemented. Moreover, the convergence for finite element (FE) mesh is analysed, and then the examples in the parametric study are validated by the FE analysis. The results show that the FE analysis has a good agreement with the analytical solutions. Finally, an example with the analytical solution and FE analysis is presented to demonstrate the availability and feasibility of the presented analytical method.

Nonlinear thermal buckling behaviour of laminated composite panel structure including the stretching effect and higher-order finite element

  • Katariya, Pankaj V.;Panda, Subrata K.;Mahapatra, Trupti R.
    • Advances in materials Research
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    • v.6 no.4
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    • pp.349-361
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    • 2017
  • The nonlinear thermal buckling load parameter of the laminated composite panel structure is investigated numerically using the higher-order theory including the stretching effect through the thickness and presented in this research article. The large geometrical distortion of the curved panel structure due to the elevated thermal loading is modeled via Green-Lagrange strain field including all of the higher-order terms to achieve the required generality. The desired solutions are obtained numerically using the finite element steps in conjunction with the direct iterative method. The concurrence of the present nonlinear panel model has been established via adequate comparison study with available published data. Finally, the effect of different influential parameters which affect the nonlinear buckling strength of laminated composite structure are examined through numerous numerical examples and discussed in details.

Shear-deformable finite element for free vibrations of laminated composite beams with arbitrary lay-up

  • Kahya, Volkan;Karaca, Sebahat;Vo, Thuc P.
    • Steel and Composite Structures
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    • v.33 no.4
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    • pp.473-487
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    • 2019
  • A shear-deformable finite element model (FEM) with five nodes and thirteen degrees of freedom (DOFs) for free vibrations of laminated composite beams with arbitrary lay-up is presented. This model can be capable of considering the elastic couplings among the extensional, bending and torsional deformations, and the Poisson's effect. Lagrange's principle is employed in derivation of the equations of motion, and thus the element matrices are obtained. Comparisons of the present element's results with those in experiment, available literature and the 3D finite element analysis software (ANSYS(R)) are made to show its accuracy. Some further results are given as referencing for the future studies in vibrations of laminated composite beamst.

Nonlinear thermoelastic response of laminated composite conical panels

  • Joshi, R.M.;Patel, B.P.
    • Structural Engineering and Mechanics
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    • v.34 no.1
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    • pp.97-107
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    • 2010
  • Nonlinear thermoelastic static response characteristics of laminated composite conical panels are studied employing finite element approach based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering moderately large deformation, are solved using Newton-Raphson iterative technique coupled with the adaptive displacement control method to efficiently trace the equilibrium path. The validation of the formulation for mechanical and thermal loading cases is carried out. The present results are found to be in good agreement with those available in the literature. The adaptive displacement control method is found to be capable of handling problems with multiple snapping responses. Detailed parametric study is carried out to highlight the influence of semicone angle, boundary conditions, radius-to-thickness ratio and lamination scheme on the nonlinear thremoelastic response of laminated cylindrical and conical panels.