• Title/Summary/Keyword: 대칭적층

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Analysis of Simple Supported Anisotropic Symmetric Laminated Cylindrical Shells (단순지지된 비등방성 대칭 적층 원통형 쉘의 해석)

  • Chai, Sang Youn;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.117-129
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    • 1999
  • The objective of this study is to identify the advantages of composite materials and to investigate the behavior of the anisotropic symmetric laminated cylindrical shell structures. To analyze the anisotropic symmetric laminated cylindrical shell structures, the finite difference technique. that consists of forward, central and backward difference, is introduced. In this study, the degree of freedom consists of three displacements and, especially, two moments except twisting moment. It has the advantage of improving the accuracy for calculating the moments. All four edges are assumed to be simply supported. From the numerical results, it is proved that the finite difference technique can be used efficiently to analyze the anisotropic symmetric laminated cylindrical shells and gives a guide in deciding how to make use of the fiber angle the anisotropic symmetric laminated cylindrical shells.

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Analysis of Laminated Composite Skew Plates with Uniform Distributed Load by Finite Difference Method (유한차분법에 의한 등분포 상재하중하 적층 복합재 경사판 해석)

  • Park, Weon Tae;Choi, Jae Jin;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.291-302
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    • 2000
  • In recent years the development of high modulus, high strength and low density boron and graphite fibers bonded together has brought renewed interestes in structural elements. When a plate with arbitrarily oriented layers and clamped boundary conditions is subjected to uniform loading, it is difficult to analyze and apply, compared with isotropic and orthotropic cases. Therefore the numerical methods, such as finite difference method or finite element method, should be emloyed to analyse such problems. In this study the finite difference technique is used to formulate the bending analysis of symmetric composite laminated skew plates. When this technique is used to solve the problem, it is desirable to reduce the order of the derivatives in order to minimize the number of the pivotal points involved in each equation. The 4th order partial differential equations of laminated skew plates are converted to an equivalent three of 2nd order partial differential equations with three dependant variables.

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Stacking method of thick composite laminates considering interlaminar normal stresses (층간수직응력을 고려한 두꺼운 복합적층판의 적층방법)

  • 김동민;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.944-951
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    • 1988
  • Global-Local Laminate Variational Model is utilized to investigate the characteristics of interlaminar stresses in thick composite laminates under uniform axial extension. Various laminates with different fiber orientation and stacking sequences are analyzed to observe the behavior of interlaminar normal stresses. From this result, the interlaminar normal stress distribution along the laminate interfaces is examined and discussed with an existing approximation model. The repeated stacking of Poisson's ratio symmetric sublaminates is found to be the best stacking method of thick composite laminates to reduce the interlaminar normal stresses for the prevention of the free-edge delamination.

FE Analysis of Symmetric and Unsymmetric Laminated Plates by using 4-node Assumed Strain Plate Element based on Higher Order Shear Deformation Theory (고차전단변형이론에 기초한 4절점 가변형률 판 요소를 이용한 대칭 및 비대칭 적층 판의 유한요소해석)

  • Lee, Sang-Jin;Kim, Ha-Ryong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.95-100
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    • 2008
  • A 4-node assumed strain finite element based on higher order shear deformation theory is developed to investigate the behaviours of symmetric and unsymmetric laminated composite plates. The present element is based on Reddy's higher order shear deformation theory so that it can consider the parabolic distribution of shear deformation through plate thickness direction. In particular, assumed strain method is adopted to alleviate the shear locking phenomena inherited plate elements based on higher order shear deformation theory. The present finite element has seven degrees of freedom per node and denoted as HSA4. Numerical examples are carried out for symmetric and unsymmetric laminated composite plate with various thickness values. Numerical results are compared with reference solutions produced by other higher order shear deformation theories.

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A study on the Dynamic Characteristics of Carbon Fibre-Reinforced Plastics Plates (탄소섬유로 강화된 플라스틱 적층 평판의 동특성에 관한 연구)

  • 김찬묵;이호성
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1990.10a
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    • pp.137-142
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    • 1990
  • 본 연구에서는 유한요소법을 사용하여 이방성으로 적층된 평판의 고유모드 를 예측하고, 이론적인 예측의 정확성을 연구하기 위해 사변 단순지지의 다 양한 각도로 적층된 정사각형 CFRP평판의 8번째 진동모드까지 실험적인 결 과와 비교하였다. 이 연구에서 사용된 모든 평판은 중앙면에 대칭이며, 이것 은 Bundling-stretching coupling을 제거하기 위해서이다. 그러나 만일 비대 칭적으로 적층된 평판이라면 이 효과를 포함한 해석이 되어야 할 것이다.

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Optical Phonon Mixing in ABC Trilayer Graphene with a Chemically Broken Inversion Symmetry

  • Park, Gwang-Hui;Ryu, Sun-Min
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.180.1-180.1
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    • 2014
  • 이중층 그래핀(graphene)의 한쪽 표면에 전하를 주입하면 반전 대칭(inversion symmetry)이 깨지며 라만-비활성 진동모드가 활성화되면서 라만 G-봉우리 부근에 새로운 봉우리가 나타난다고 알려져 있다. 삼중층 그래핀은 그래핀이 적층되는 방식에 따라 ABA (Bernal), ABC (rhombohedral) 그래핀으로 나뉘며, ABC 그래핀은 ABA와는 달리 반전 대칭성을 가지고 있다. 본 연구에서는 화학적인 방법을 이용하여 ABC 그래핀의 반전 대칭을 제어하고 그에 따른 라만 스펙트럼의 변화를 탐구하였다. ABA 그래핀과는 달리 이중층 그래핀과 ABC 그래핀에서는 저진공 열처리 또는 요오드 흡착반응을 한 후에 G-봉우리 부근에서 새로운 봉우리가 나타나는 것을 관찰하였고, 전하밀도 정도가 증가 할수록 G-봉우리와 새로운 봉우리의 위치 차이는 증가하는 것을 관찰하였다. 물과 메탄올에 의한 세척 반응으로부터 열처리는 복층 그래핀과 기판 계면에 그리고 요오드 흡착은 그래핀의 상단표면에 잉여 전하를 유발하여 반전 대칭을 깨트린다는 사실을 확인하였다. 또한 G-봉우리와 새로운 봉우리의 진동수 차이가 반전 대칭을 유발한 전하밀도의 그래디언트에 대한 척도가 될 가능성을 제시하였다.

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Buckling Strength Analysis of Stiffened Composite Plates for the Optimum Laminate Structure (최적 적층구조를 위한 보강된 복합적층판의 좌굴강도 해석)

  • H.R.,Kim;J.W.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.3
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    • pp.21-28
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    • 1989
  • The optimun laminated composition of the stiffened composite plates is studied from the view point of buckling strength. The finite element method is applied to the buckling analysis of the composite plates taking into account the effect of shear deformation through the plate thickness. The stiffened plate model is discretized using plate thickness and symmetrically stacked. Parametric study is carried out for the selection of the optimum laminate structure; optimum fiber angle sequence through the thickness. Laminate structure of $[-45^{\circ}/45^{\circ}/90^{\circ}/0^{\circ}]$, is found to give the best buckling strength. For the case of that layer number is more than eight, best result is obtained when layers of the same fiber angle are put together, leaving the laminate has the same fiber angle sequence as a whole.

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Dynamic Mechanical Properties of the Symmetric Laminated high Strength Carbon Fiber Epoxy Composite Thin Beams (대칭 적층한 얇은 고강도 탄소섬유 에폭시 복합재 보의 기계적 동특성)

  • 정광섭;이대길;곽윤근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.2123-2138
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    • 1994
  • A study on the dynamic mechanical properties of the high strength carbon fiber epoxy composite beam was carried out. The macromechanical model was used for the theoretical analysis of the symmetric laminated composite beam. The anisotropic plate theory and Bernoulli-Euler beam theory were used to predict the effective flexural elastic modulus and the specific damping capacity of laminated composite beam. The free flexural vibration and torsional vibration tests were carried out to determine the specific damping capacities of the unidirectional laminated composite beam. The vibration tests were performed in a vacuum chamber with laser vibrometer system and electromagnetic hammer to obtain accurate experimental data. From the computational and experimental results, it was found that the theoretical values with the macromechanical analysis and the experimental data of symmetric laminated composite beam were in good agreement.

A Study on the Minimum Weight Design of Stiffened Cylindrical Shells (보강원통셸의 최소중량화설계 연구)

  • 원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.630-648
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    • 1992
  • The minimum weight design for simply-supported isotropic or symmetrically laminated stiffened cylindrical shells subjected to various loads (axial compression or combined loads) is studied by a nonlinear mathematical search algorithm. The minimum weight design in accomplished with the CONMIN optimizer by Vanderplaats. Several types of buckling modes with maximum allowable stresses and strains are included as constraints in the minimum weight design process, such as general buckling, panel buckling with either stingers or rings smeared out, local skin buckling, local crippling of stiffener segments, and general, panel and local skin buckling including stiffener rolling. The approach allows the consideration of various shapes of stiffening members. Rectangular, I, or T type stringers and rectangular rings are used for stiffened cylindrical shells. Several design examples are analyzed and compared with those in the previous literatures. The unstiffened glass/epoxy, graphite/epoxy(T300/5208), and graphite/epoxy aluminum honeycomb cylindrical shells and stiffened graphite/epoxy cyindrical shells under axial compression are analyzed through the present approach.

Flexural and Buckling Analysis of Laminated Composite Beams with Bi- and Mono-Symmetric Cross-Sections (이축 및 일축 대칭단면 적층복합 보의 휨과 좌굴해석)

  • Hwoang, Jin-Woo;Back, Sung Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.12
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    • pp.614-621
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    • 2019
  • A generalized laminated composite beam element is presented for the flexural and buckling analysis of laminated composite beams with double and single symmetric cross-sections. Based on shear-deformable beam theory, the present beam model accounts for transverse shear and warping deformations, as well as all coupling terms caused by material anisotropy. The plane stress and plane strain assumptions were used along with the cross-sectional stiffness coefficients obtained from the analytical technique for different cross-sections. Two types of one-dimensional beam elements with seven degrees-of-freedom per node, including warping deformation, i.e., three-node and four-node elements, are proposed to predict the flexural behavior of symmetric or anti-symmetric laminated beams. To alleviate the shear-locking problem, a reduced integration scheme was employed in this study. The buckling load of laminated composite beams under axial compression was then calculated using the derived geometric block stiffness. To demonstrate the accuracy and efficiency of the proposed beam elements, the results based on three-node beam element were compared with those of other researchers and ABAQUS finite elements. The effects of coupling and shear deformation, support conditions, load forms, span-to-height ratio, lamination architecture on the flexural response, and buckling load of composite beams were investigated. The convergence of two different beam elements was also performed.