• 제목/요약/키워드: Laminated Plate Theory

검색결과 262건 처리시간 0.029초

The effect of embedding a porous core on the free vibration behavior of laminated composite plates

  • Safaei, Babak
    • Steel and Composite Structures
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    • 제35권5호
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    • pp.659-670
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    • 2020
  • This paper proposes the use of a porous core between layers of laminated composite plates to examine its effect on the natural frequencies of the resulted porous laminated composite sandwich plate (PLCSP) resting on a two-parameter elastic foundation. Moreover, it has been suggested that the dispersion of porosity has two different functionally graded (FG) patterns which are compared with a uniformly dispersed (UD) profile to find their best vibrational efficiency in the proposed PLCSPs. In FG patterns, two types of dispersions, including symmetric (FG-S) and asymmetric (FG-A) patterns have been considered. To derive the governing Eigen value equation of such structures, the first order shear deformation theory (FSDT) of plates has been employed. Accordingly, a finite element method (FEM) is developed to solve the derived Eigen value equation. Using the mentioned theory and method, the effects of porosity parameters, fiber orientation of laminated composite, geometrical dimensions, boundary conditions and elastic foundation on the natural frequencies of the proposed PLCSPs have been studied. It is observed that embedding porosity in core layer leads to a significant improvement in the natural frequencies of PLCSPs. Moreover, the natural frequencies of PLCSPs with FG porous core are higher than those with UD porous core.

비등방성 복합적층판 및 쉘 구조의 휨, 자유진동 및 좌굴해석 (Bending, Free Vibration and Buckling Analysis of Anisotropic Composite Laminated Plate and Shell Structures)

  • 윤석호
    • 한국강구조학회 논문집
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    • 제11권1호통권38호
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    • pp.55-67
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    • 1999
  • 복합재료로 구성된 복합적층판 및 쉘과 같은 구조물은 탄성계수와 전단탄성 계수의 비가 매우 커서 전단변형의 영향이 크므로 정확한 해를 얻기 위하여 해석 및 설계에서 필수적으로 전단변형을 고려해야 하며, 고차의 전단변형이론에 의한 해석은 더욱 정확한 해를 얻을 수 있다. 본 연구는 단순지지 경계조건을 갖는 복합적층판 및 쉘에 대하여 3차 전단변형 이론을 적용하여 플라이 각도, 층의 수에 따른 복합적층판 및 쉘의 휨, 진동, 좌굴 특성을 연구한다.

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Thermal buckling and stability of laminated plates under non uniform temperature distribution

  • Widad Ibraheem Majeed;Ibtehal Abbas Sadiq
    • Steel and Composite Structures
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    • 제47권4호
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    • pp.503-511
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    • 2023
  • Stability of laminated plate under thermal load varied linearly along thickness, is developed using a higher order displacement field which depend on a parameter "m", whose value is optimized to get results closest to three-dimension elasticity results. Hamilton, s principle is used to derive equations of motion for laminated plates. These equations are solved using Navier-type for simply supported boundary conditions to obtain non uniform critical thermal buckling and fundamental frequency under a ratio of this load. Many design parameters of cross ply and angle ply laminates such as, number of layers, aspect ratios and E1/E2 ratios for thick and thin plates are investigated. It is observed that linear and uniform distribution of temperature reduces plate frequency.

적층복합평판을 위한 고차해석이론 (A Higher-Order Theory for Laminated Composite Plates)

  • 신용석
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.65-76
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    • 1994
  • A higher-oder laminated plate theory including the effect of transverse shear deformation is developed to calculate the gross response and the detailed stress distribution. The theory satisfies the continuity condition of transverse shear stress, and accounts for parabolic variation of the transverse shear stresses through the thickness of each layer. Exact closed-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and a simple higher-order theory solutions. The results of the present work exhibit acceptable accuracy when compared to the three-dimensional elasticity solutions.

개선된 일차전단변형이론을 이용한 지능구조평판의 거동해석 (The Analysis of Smart Plate Using Enhanced First Shear Deformation Theory)

  • 오진호;김흥수;이승윤;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.663-668
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    • 2007
  • An enhanced first shear deformation theory for composite plate is developed. The detailed process is as follows. Firstly, the theory is formulated by modifying higher order zigzag theory. That is, the higher order theory is separated into the warping function representing the higher order terms and lower order terms. Secondly, the relationships between higher order zig-zag field and averaged first shear deformation field based on the Reissner-Mindlin's plate theory are derived. Lastly, the effective shear modulus is calculated by minimizing error between higher order energy and first order energy. Then the governing equation of FSDT is solved by substituting shear modulus into effective shear modulus. The recovery processing with the nodal unknown obtained from governing equation is performed. The accuracy of the present proposed theory is demonstrated through numerical examples. The proposed method will serve as a powerful tool in the prediction of laminated composite plate.

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Free vibration analysis of stiffened laminated plates using layered finite element method

  • Guo, Meiwen;Harik, Issam E.;Ren, Wei-Xin
    • Structural Engineering and Mechanics
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    • 제14권3호
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    • pp.245-262
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    • 2002
  • The free vibration analysis of stiffened laminated composite plates has been performed using the layered (zigzag) finite element method based on the first order shear deformation theory. The layers of the laminated plate is modeled using nine-node isoparametric degenerated flat shell element. The stiffeners are modeled as three-node isoparametric beam elements based on Timoshenko beam theory. Bilinear in-plane displacement constraints are used to maintain the inter-layer continuity. A special lumping technique is used in deriving the lumped mass matrices. The natural frequencies are extracted using the subspace iteration method. Numerical results are presented for unstiffened laminated plates, stiffened isotropic plates, stiffened symmetric angle-ply laminates, stiffened skew-symmetric angle-ply laminates and stiffened skew-symmetric cross-ply laminates. The effects of fiber orientations (ply angles), number of layers, stiffener depths and degrees of orthotropy are examined.

Finite element vibration analysis of laminated composite parabolic thick plate frames

  • Das, Oguzhan;Ozturk, Hasan;Gonenli, Can
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.43-59
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    • 2020
  • In this study, free vibration analysis of laminated composite parabolic thick plate frames by using finite element method is introduced. Governing equations of an eigenvalue problem are obtained from First Order Shear Deformation Theory (FSDT). Finite element method is employed to obtain natural frequency values from the governing differential equations. The frames consist of two flat square plates and one singly curved plate. Parameters like radii of curvature, aspect ratio, ply orientation and boundary conditions are investigated to understand their effect on dynamic behavior of such a structure. In addition, multi-bay structures of such geometry with different stacking order are also taken into account. The composite frame structures are also modeled and simulated via ANSYS to verify the accuracy of the present study.

필라멘트 와인딩 공법에 의한 소형 선박용 복합재료 축 설계에 관한 연구 (A Study on the Design of Composites Shaft for Small Ship by Filament Winding Process)

  • 배창원;임철문;왕지석;김윤해
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.193-196
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    • 2001
  • The purpose of this study is the design of composite shaft which is wound by Filament Winding method. Classical laminated plate theory was used for analyzing the stress, and for structure design. The diameter and thickness of composite shaft were calculated by this theory. The result that if tensile stress was zero, torsion stress was a certain value below 0.4(diameter rate) and torsion strength was the highest value on $45^{\circ}C$(winding angle). In case of $90^{\circ}C$(winding angle), we have to consider the torsional monent when the composites shaft was load.

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