• 제목/요약/키워드: Laminated Plate

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

  • 이상진;김하룡
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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    • pp.95-100
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    • 2008
  • 대칭 및 비대칭 적층판의 거동을 연구하기 위하여 가변형률과 고차전단변형이론을 바탕으로 4절점 판 유한요소(HSA4)를 개발하였다. 개발된 판 요소는 적층 판의 두께 방향으로 나타나는 전단변형의 포물선 분포를 고려하기 위하여 Reddy의 고차전단변형이론을 도입하였다. 특히 전단변형을 고려한 판 요소에서 발생하는 전단과대현상을 해결하기 위하여 가변형률을 채용하였다, 본 연구를 통하여 개발한 판요소는 고차전단변형이론을 도입하여 각 절점당 7개의 자유도를 가지므로 요소전체에 28개의 자유도로 판의 변형을 표현하게 된다. 개발된 유한요소의 성능을 검증하고 우수성을 보여주기 위해 다양한 두께를 가지는 대칭 및 비대칭 적층 판에 대한 수치해석을 수행하였으며 그 결과를 다른 고차전단변형이론에 의해 도출된 참고해들과 비교하였다.

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GFRP적층판을 활용한 보강보부재와 원통형 단판적층기둥재 접합부의 내력 성능평가 (Structural Performance of Joints for Partial Reinforced Beam Using GFRP Laminated Plate and Cylindrical Reinforced LVL Column)

  • 송요진;정홍주;이정재;서진석;박상범;홍순일
    • Journal of the Korean Wood Science and Technology
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    • 제42권3호
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    • pp.282-289
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    • 2014
  • 합판과 유리섬유강화플라스틱을 조합하여 적층 후 $1.96N/mm^2$의 압력으로 $150^{\circ}C$에서 1시간 고밀화시킨 유리섬유 강화플라스틱 적층판을 제작하였다. 제작된 5가지의 유리섬유강화플라스틱 적층판을 각각 기둥재와 접하는 집성재에 부착하여 부분보강보부재를 제작하였다. 더불어 합판과 시트형 유리섬유강화플라스틱을 적층한 보강적층목재핀과 유리섬유로 보강한 원통형 단판적층기둥재로 기둥-보 접합부를 제작하였다. 기준시험편으로는 원주목과 집성재로 제작한 보부재, 드리프트핀을 사용한 접합부를 제작하여 모멘트 저항 내력을 평가하였다. 시험결과 기준시험편과 비교하여 부분보강보부재를 사용한 시험체들이 평균 1.8배 높은 내력성능이 측정되었다. 모든 부분보강보부재와 원통형 단판적층기둥재에는 파단이 발생하지 않았으며 접합부의 인성과 강성이 모두 양호하게 측정되었다. 부분보강보부재의 보강효과는 시트형 유리섬유강화플라스틱이 직물형 유리섬유강화플라스틱으로 보강한 적층판보다 양호한 보강효과를 보였으며, 시트형 유리섬유강화플라스틱을 각층에 삽입한 적층판이 접합내력과 변형각 모두 양호하여 보부재의 부분보강에 적합한 것을 확인하였다.

Stress analysis of a postbuckled laminated composite plate

  • Chai, Gin-Boay;Chou, Siaw Meng;Ho, Chee-Leong
    • Structural Engineering and Mechanics
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    • 제7권4호
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    • pp.377-386
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    • 1999
  • The stress distribution in a symmetrically laminated composite plate subjected to in-plane compression are evaluated using finite element analysis. Six different finite element models are created for the study of stresses in the plate after buckling. Two finite element modelling approaches are adopted to obtain the stress distribution. The first approach starts with a full model of shell elements from which sub-models of solid elements are spin-off The second approach adopts a full model of solid elements at the beginning from which sub-models of solid elements are created. All sub-models have either 1-element thickness or 14-element thickness. Both techniques show high interlaminar direct and shear stresses at the free edges. The study also provides vital information of the distribution of all components of stresses along the unloaded edges in length direction and also in the thickness direction of the plate.

Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.675-693
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    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

Bending behavior of SWCNT reinforced composite plates

  • Chavan, Shivaji G.;Lal, Achchhe
    • Steel and Composite Structures
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    • 제24권5호
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    • pp.537-548
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    • 2017
  • In this paper presents bending characteristic of single wall carbon nanotube reinforced functionally graded composite (SWCNTRC-FG) plates. The finite element implementation of bending analysis of laminated composite plate via well-established higher order shear deformation theory (HSDT). A seven degree of freedom and $C^0$ continuity finite element model using eight noded isoperimetric elements is developed for precise computation of deflection and stresses of SWCNTRC plate subjected to sinusoidal transverse load. The finite element implementation is carried out through a finite element code developed in MATLAB. The results obtained by present approach are compared with the results available in the literatures. The effective material properties of the laminated SWCNTRC plate are used by Mori-Tanaka method. Numerical results have been obtained with different parameters, width-to-thickness ratio (a/h), stress distribution profile along thickness direction, different SWCNTRC-FG plate, boundary condition, through the thickness (z/h) ratio, volume fraction of SWCNT.

홀로그래피 간섭법을 이용한 층상평행판의 내부결함 탐상 (Detection of Internal defects of a laminated plate using holographic interferometry)

  • 김달우;한용규
    • 한국광학회지
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    • 제9권5호
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    • pp.326-332
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    • 1998
  • 층상평행판의 접착불량을 홀로그래피 간섭법을 이용하여 가시화함으로써 내부결함을 비파괴 탐상하였다. PZT로 측정 대상을 진동시키면서 실시간 홀로그래피 방법으로 접착불량의 특징이 간섭 무늬에 이상무늬로 나타나는 특성주파수를 찾고, PZT의 위치를 변화시키며 시간평균법으로 홀로그램을 구하였다. 재생된 상에서 결함 부분을 영상처리한 후 이들을 합성하여 층상평행판의 전체 면적에 걸친 내부결함 분포를 구하였다.

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A laminated composite plate finite element a-priori corrected for locking

  • Filho, Joao Elias Abdalla;Belo, Ivan Moura;Pereira, Michele Schunemann
    • Structural Engineering and Mechanics
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    • 제28권5호
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    • pp.603-633
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    • 2008
  • A four-node plate finite element for the analysis of laminated composites which is developed using strain gradient notation is presented. The element is based on a first-order shear deformation theory and on the equivalent lamina assumption. Strains and stresses can be calculated at different points through the thickness of the plate. They are averaged values due to the equivalent lamina assumption. A shear correction factor is used as the transverse shear strain is taken to be constant over the plate thickness while its actual variation is parabolic. Strain gradient notation, which is physically interpretable, allows for the detailed a-priori analysis of the finite element model. The polynomial expansions are inspected and spurious terms responsible for modeling errors are identified in the shear strains polynomial expansions. The element is corrected by simply removing the spurious terms from the shear strains expansions. The element is implemented into a FORTRAN finite element code in two versions; namely, with and without spurious terms. Results are compared to show the effects of the spurious terms on the solutions. It is also shown that a refined mesh composed of corrected elements provides solutions which approximate very well the analytical solutions, validating the procedure.

Delamination identification of laminated composite plates using measured mode shapes

  • Xu, Yongfeng;Chen, Da-Ming;Zhu, Weidong;Li, Guoyi;Chattopadhyay, Aditi
    • Smart Structures and Systems
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    • 제23권2호
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    • pp.195-205
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    • 2019
  • An accurate non-model-based method for delamination identification of laminated composite plates is proposed in this work. A weighted mode shape damage index is formulated using squared weighted difference between a measured mode shape of a composite plate with delamination and one from a polynomial that fits the measured mode shape of the composite plate with a proper order. Weighted mode shape damage indices associated with at least two measured mode shapes of the same mode are synthesized to formulate a synthetic mode shape damage index to exclude some false positive identification results due to measurement noise and error. An auxiliary mode shape damage index is proposed to further assist delamination identification, by which some false negative identification results can be excluded and edges of a delamination area can be accurately and completely identified. Both numerical and experimental examples are presented to investigate effectiveness of the proposed method, and it is shown that edges of a delamination area in composite plates can be accurately and completely identified when measured mode shapes are contaminated by measurement noise and error. In the experimental example, identification results of a composite plate with delamination from the proposed method are validated by its C-scan image.

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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