• Title/Summary/Keyword: 적층 판 이론

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A Simple Method of Analysis for the Preliminary Design of Structures for Civil Construction made of Particular Composite Laminated Plate (복합적층판으로 구성된 토목건설용 구조물의 예비설계를 위한 간편해석법)

  • 김덕현;원치문
    • Composites Research
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    • v.13 no.2
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    • pp.30-39
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    • 2000
  • It is difficult for civil engineer to apply composite materials of laminated type to structure for civil construction because of complicated theory although those have much merit. A simple method by which one can predict "exact" values of the natural frequency of vibration of laminated plates is presented. Many laminates with particular orientations have negligible values of $B_{16}$ and $B_{26}$ as the number of plies increases. Such laminates, with $D_{16}$ = $D_{26}$ ->0 can be solved by the same equation as for the special orthotropic laminates(1991,1995). If the quasi-isotrpic constants are used, It is possible to simplify analysis procedure since the equations for isotropic plates can be used. Use of some coefficients can produce "exact" values for laminates with such configuration. This coefficient, in fact, represents the effect of the anisotropy of the laminate. D. H. Kim proposed to use a correction factor, he developed, to produce "exact" solution out of the approximate solution obtained by using the quasi-isotropic constants(1995). In this paper, the fiber orienation studied is [$\alpha$/$\beta$/$\beta$/$\gamma$/$\alpha$/$\alpha$/$\beta$]r, with $\alpha$=-$\beta$, and $\gamma$${\gamma}$=$0^{\circ}$ or $90^{\circ}$ and the above-mentioned method is used to obtain the natural frequencies of plates with such orientations, and detailed result is presented for the use of engineers.nted for the use of engineers.

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Vibration Control of Cantilevered Structures Laminated of fiber-reinforced Composite Materials (섬유강화 복합재료 적층 구조물 (외팔보형태)의 면진 및 제진)

  • 오동훈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.67-72
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    • 1995
  • 본 연구에서는 섬유강화 복합재료로 구성된 항공기 날개를 외팔보 형태 구조물로 모델링하고 동특성 해석을 위해 횡전단변형 이론과 고전 적층판 이론을 적용, Rayleigh-Ritz 방법에 의한 진동해석을 수행한뒤 진동 발생시 효과적으로 제어할 수 있는 방법을 제시하고 시뮬레이션을 통하여 동특성 향상을 정량적으로 제시하였다. 진동을 제어하기 위한 방법으로서 수동적, 능동적 방법을 모두 사용하고 있는데, (보다 자세한 사항은 참고문헌[12] 참조) 본 연구에서는 TMD(Tuned Mass Damper)를 사용하지 않고 복합소재 구조물의 성질을 이용한 탄성배열설계(Structural Tailoring)로 수동적 의미의 면진효과를 거둘 수 있게 하였다. 능동 제어의 경우 되먹임(feedback) 제어기를 이용, 이산(discret) 작동기(actuator)를 통하여 외팔보의 휨 및 비틀림 모우드를 함께 제어하여 효과적인 제어기를 설계하였다.

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A Study on Post-Tensioned Reinforced Concrete Slab by the Beam Theory (포스트텐션된 철근콘크리트 슬래브의 보 이론에 의한 연구)

  • Han, Bong-Koo;Kim, Duck-Hyun
    • Composites Research
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    • v.22 no.5
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    • pp.24-29
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    • 2009
  • In this paper, a post-tensioned reinforced concrete slab was analyzed by the specially orthotropic laminates theory. Both the geometrical and material property of the cross section of the slab was considered symmetrically with respect to the neutral surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Reinforced concrete slab behave as specially orthotropic plates. In general, the analytical solution for such complex systems is very difficult to obtain. Thus, finite difference method was used for analysis of the problem. In this paper, the finite difference method and the beam theory were used for analysis. The result of beam analysis was modified to obtain the solution of the plate analysis.

Vibration and Buckling Characteristics for Composite Rectangular Plates Stiffened with Box Beam Stiffeners (상자형 보로 보강된 복합재료 사각판의 진동 및 좌굴특성)

  • Kim, Young-Wann;Chung, Kang
    • Composites Research
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    • v.13 no.6
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    • pp.9-22
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    • 2000
  • The Rayleigh-Ritz procedure based on energy method is used to present analytically the natural frequencies and the critical buckling loads for four types of loading conditions: (1) uniaxial, (2) biaxial, (3) positive shear and (4) negative shear, of the rectangular, composite plates unidirectionally stiffened with box beam type stiffeners. In analysis the discrete stiffener theory is adopted to present the effect of stiffeners in the plate structure. The convergence study is presented to demonstrate the accuracy of the results. Contour plots of the vibrated and buckled mode shapes are shown for some examples. The effect of various parameters such as numbers, position, aspect ratio of stiffener and layer angle, aspect ratio of plate are focused.

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Natural vibrations of laminated anisotropic shells of revolution (적층 이방성 회전체 쉘의 고유진동 해석)

  • 전종균
    • Computational Structural Engineering
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    • v.8 no.3
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    • pp.135-141
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    • 1995
  • Any arbitrarily shaped laminated composite shells of revolution can be sum of the conical shell elements. Therefore, finite element model of conical shell element will be developed in this study. To verify consistency and validity of this model, natural vibrations of this model is compared with the analytical solution of cylindrical shell. Herein, an extensive parametric study is presented to assess the modeling capability of this model in class of laminated composite cylinders. It is seen that the proposed model provides highly accurate results with analytical solution. Once development of this conical shell element is done, any arbitrarily shaped composite shells of revolution can be easily analyzed.

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Study of Mechanical Properties and Porosity of Composites by Using Glass Fiber Felt (유리섬유 부직포 사용에 따른 복합재의 기공률 및 물성에의 영향 분석)

  • Lee, Ji-Seok;Yu, Myeong-Hyeon;Kim, Hak-Sung
    • Composites Research
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    • v.35 no.1
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    • pp.42-46
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    • 2022
  • In this study, when the carbon fiber composite was manufactured, the correlation between the porosity and mechanical properties according to the number of glass fiber felts laminated together and the stacking sequence was confirmed. The carbon fiber composite was manufactured by stacking glass fiber felts, which are highly permeable materials, and using vacuum assisted resin transfer molding (VARTM). Porosity was measured by photographing the cross-section of the specimen with an optical microscope and then using porosity calculation code of MATLAB, and mechanical properties were measured for tensile strength, modulus by tensile test. Furthermore, Pearson correlation coefficient between porosity and mechanical properties was calculated to confirm the correlation between two variables. As a result, the number of glass fiber felt increased and the distance from the center of laminated composites increased, the porosity increasing were confirmed. In addition, tensile strength/modulus showed a weak positive correlation with porosity. Also, in order to confirm the effect of only porosity on tensile strength and modulus, mechanical properties calculated by CLPT (Classical Laminate Plate Theory) and experimental values were compared, and the difference in tensile strength showed a strong positive correlation with porosity and the difference in modulus showed a weak positive correlation with porosity.

Buckling Analysis of Laminated Composite Plates under the In-plane Compression and Shear Loadings (면내 압축 및 전단하중을 받는 적층복합판의 좌굴 해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.12
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    • pp.5199-5206
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    • 2010
  • In this paper, we investigate the buckling analysis of laminated composite plates, using a improved assumed natural strain shell element. In order to overcome membrane and shear locking phenomena, the assumed natural strain method is used. The eigenvalues of the laminated composite plates are calculated by varying the width-thickness ratio and angle of fiber. To improve an shell element for buckling analysis, the new combination of sampling points for assumed natural strain method was applied and the refined first-order shear deformation theory which allows the shear deformation without shear correction factor. In order to validate the present solutions, the reference solutions are used and discussed. The results of laminated composite plates under the in-plane shear loading may be the benchmark test for the buckling analysis.

The Characteristics for Mode I Interlaminar and Intralaminar Fractures of Cross-Ply Carbon/Epoxy Composite Laminates Based on Energy Release Rate (변형률 에너지 해방률에 기반한 Carbon/Epoxy 직교적층판의 모드 I 층간 및 층내 파괴 특성 분석)

  • Kang, Min-Song;Jeon, Min-Hyeok;Kim, In-Gul;Woo, Kyeong-Sik
    • Composites Research
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    • v.32 no.1
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    • pp.6-12
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    • 2019
  • This paper describes the characteristics for mode I interlaminar and intralaminar fractures of cross-ply carbon/epoxy composite laminates. We obtained mode I interlaminar fracture toughness and mode I intralaminar fracture toughness based on energy release rate and Finite Element Analysis (FEA). For this purpose, the Double-Cantilever Beam (DCB) test and FEA were performed for cross-ply DCB specimens. Also, the behavior of load-displacement curve at the interlaminar and intralaminar crack was analyzed. The results show that mode I intralaminar fracture toughness was lower than mode I interlaminar fracture toughness in the cross-ply DCB specimen.

Finite Element Formulation Based on Enhanced First-order Shear Deformation Theory for Thermo-mechanical Analysis of Laminated Composite Structures (복합소재 적층 구조물에 대한 열-기계적 거동 예측을 위한 개선된 일차전단변형이론의 유한요소 정식화)

  • Jun-Sik Kim;Dae-Hyeon Na;Jang-Woo Han
    • Composites Research
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    • v.36 no.2
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    • pp.117-125
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    • 2023
  • This paper proposes a new finite element formulation based on enhanced first-order shear deformation theory including the transverse normal strain effect via the mixed formulation (EFSDTM-TN) for the effective thermo-mechanical analysis of laminated composite structures. The main objective of the EFSDTM-TN is to provide an accurate and efficient solution in describing the thermo-mechanical behavior of laminated composite structures by systematically establishing the relationship between two independent fields (displacement and transverse stress fields) via the mixed formulation. Another key feature is to consider the thermal strain effect without additional unknown variables by introducing a refined transverse displacement field. In the finite element formulation, an eight-node isoparametric plate element is newly developed to implement the advantage of the EFSDTM-TN. Numerical solutions for the thermo-mechanical behavior of laminated composite structures are compared with those available in the open literature to demonstrate the numerical performance of the proposed finite element model.

Damage Study on the Mechanical Fastening in Laminated Composites (복합적층판(復合積層板)의 기계적(機械的) 체결부(締結部)에 관한 파손연구(破損硏究))

  • Kwan-Hyung,Song
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.4
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    • pp.58-66
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    • 1990
  • A series of test was performed measuring the failure strength and failure mode of Gr/Pi, $[0^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}]_s$ laminate containing a single pin loaded hole. The finite element method is applied to calculate the stress distribution in the laminates, then the failure load and the failure mode were predicted by means of the characteristic length. 12 different geometric variations were developed to analyze the effects of the ratio of specimen width to hole diameter (W/d) and ratio of edge distance to hole diameter (L/d). X-Ray of NDE methods were utilized in finding out the initial defects, damage and the fracture mechanism, and SEM(Scanning Electron Microscopes) was used the evaluation of the fracture mechanism and crack propagation around hole under tension pin loading. $[0^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}]_s$ laminate are found to be most sensitive to W/d but not so influenced by L/d. The failure mode and tensile strength predicted by the model show agreement with experiment data for pin loading bolted jointed test except range of $L/d{\leqq}3$.

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