• Title/Summary/Keyword: 적층 판 이론

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Review on Higher order Laminated Composite Plate Modelings (복합재료 적층판의 고차이론의 검토)

  • 조맹효
    • Journal of the KSME
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    • v.34 no.7
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    • pp.517-526
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    • 1994
  • 복합재료가 점차 최근에 항공기에서 이차적인 구조요소에서 일차적으로 힘을 받는 구조물에 사 용됨으로써 두꺼운 복합재료 구조판과 셸의 정확한 동적, 정적거동을 예측하는 것이 중요한 문 제가 되었다. 특히 전산구조역학의 한 분야로서 복합재료 적층판의 문제는 inhomogeneity와 anisotropy 문제를 가지고 있어서 복잡하며 일차구조 (primary structrue)에서는 100장-200장의 적층도 드물지 않게 볼 수 있어서 정확한 계산을 위해서는 방대한 기억용량과 빠른 계산속도를 요구한다. 그러므로 복합재료 적층판의 거동을 정확하고 값싸고 빠르게 계산할 수 있는 이론과 수치방법의 개발이 중요한 문제이다. 이 문제는 E. Reissner, R. K. Kapania & S. Raciti, A. K. Noor & W. S., Burton, L. Librescu & J. N. Reddy, J. N. Reddy 등에 의해서 review가 행하 여졌고 이 분야의 모든 paper들의 비교적 현재까지 연구동향을 잘 묘사하고 있다. 여러 review paper들이 시간흐름상으로 여러 연구들을 잘 정리하고 있으므로 이 글에서는 논문들을 다시 review하는 것이 아니라 지난 20여 년간 이 분야에서 계속되어 온 연구중 주요한 것을 고찰하고 소개하는 것을 그 목적으로 한다.

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Bending and Dynamic Characteristics of Antisymmetric Laminated Composite Plates considering a Simplified Higher-Order Shear Deformation (역대칭 복합적층판의 단순화된 고차전단변형을 고려한 휨과 동적 특성)

  • Han, Seong Cheon;Yoon, Seok Ho;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.9 no.4 s.33
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    • pp.601-609
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    • 1997
  • Bending and vibration results for a laminated plate base on a simplified higher-order plate theory with four variables are presented. Assuming a constant in-plane rotation tensor through the thickness in Reddy's higher-order shear deformation theory it is shown that a simpler higher-order theory can be obtained with the reduction of one variable without significant loss in the accuracy. This simple higher-order shear deformation theory is then used for predicting the natural frequencies and deflection of simply-supported laminated composite plates. The results obtained for antisymmetrical laminated composite plates compare favorably with third-order and first-order shear deformation theory. The information presented should be useful to composite-structure designers, to researchers seeking to obtain better correlation between theory and experiment and to numerical analysts in checking out their programs.

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

  • Yoon, Seok Ho
    • Journal of Korean Society of Steel Construction
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    • v.11 no.1 s.38
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    • pp.55-67
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    • 1999
  • The ratios of elastic to shear modulus of the structures as laminated composite plates and shells, are very large. They are much susceptible to effect of shear deformation. In order to obtain the accurate solutions of laminated composite plate and shells, the effects of shear strain should be considered for the analysis and design of them. Especially, the more exact solution can be obtained in applying to higher-order shear deformation theory. Therefore, in this paper, the third-order shear deformation theory is used to present the distributions of bending, the characteristics of natural frequencies and the buckling load according to the effects of ply orientation, number of layers for the laminated composite plates and shells with simply supported boundary conditions.

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Vibrational Chacacteristics of Initially Stressed Laminated Plates (초기응력을 받는 적층판의 진동특성에 관한 연구)

  • Park, Sung-Jin;Baek, Joo-Eun
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2016.11a
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    • pp.188-189
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    • 2016
  • 본 논문은 초기하중을 하중을 받는 역대칭 angle-ply 와 cross-ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는 간편법을 제시하였다. 마주보는 두변이 단순 지지된 역대칭 적층판의 운동방정식은 전단변형과 회전강성효과를 고려한 YSN 이론으로 유도하였으며 이를 선점법을 이용하여 해석하였다. 초기응력을 받는 적층판의 무차원화 고유진동수, 임계좌굴계수 및 동적 주 불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립시켰다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 정당성과 사용성을 입증하기 위하여 수치예들로서 검토하였다.

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Critical Buckling Temperatures of Anisotropic Laminated Composite Plates considering a Higher-order Shear Deformation (고차전단변형을 고려한 비등방성 적층복합판의 임계좌굴온도)

  • Han, Seong Cheon;Yoon, Seok Ho;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.10 no.2 s.35
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    • pp.201-209
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    • 1998
  • The presence of elevated temperature can alter significantly the structural response of fibre-reinforced laminated composites. A thermal environment causes degradation in both strength and constitutive properties, particularly in the case of fibre-reinforced polymeric composites. Furthermore, associated thermal expansion, either alone or in combination with mechanically induced deformation, can result in buckling, large deflections, and excessively high stress levels. Consequently, it is often imperative to consider environmental effects in the analysis and design of laminated systems. Exact analytical solutions of higher-order shear deformation theory is developed to study the thermal buckling of cross-ply and antisymmetric angle-ply rectangular plates. The buckling behavior of moderately thick cross-ply and antisymmetric angle-ply laminates that are simply supported and subject to a uniform temperature rise is analyzed. Numerical results are presented for fiber-reinforced laminates and show the effects of ply orientation, number of layers, plate thickness, and aspects ratio on the critical buckling temperature and compared with those obtained using the classical and first-order shear deformation theory.

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Dynamic Characteristics of Anisotropic Laminated Plates (이방성 복합재료의 동적특성에 관한 연구)

  • Park, Sungjin;Baek, Jooeun
    • Journal of the Society of Disaster Information
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    • v.12 no.1
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    • pp.62-68
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    • 2016
  • In this study, the impact problems are brought up and the formulation by isoparametric element is attempted for the purpose of analyzing the response characteristics of laminated plate receiving impact load based on the first-order shear deformation theory expanded from the Mindlin plate theory. The result of static analysis and dynamic analysis is drawn through the numerical analysis rectangular and circular plates of antisymmetric Angle-Ply laminated plate using the finite element method and the analysis on each displacement is compared.

Nonlinear Random Vibration of Laminated Composite Plates by Comparison of Classical Theory, 1st and 3rd Order Shear Theories (복합적층판의 비선형 불규칙 진동 해석에 관한 고전 이론, 1차 및 3차 전단 이론의 비교 연구)

  • Kang, Joowon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.129-138
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    • 2000
  • Composites are finding increasing use in a wide variety of engineering applications due to their outstanding mechanical properties. A number of studies have focused on the development of new materials as well as the response of composite structures to static and dynamic loads by assuming the external driving forces to be deterministic. However, there ate many situations in practice where the exciting forces vary randomly. In this work, the nonlinear response of laminated composite plates excited by stochastic loading is studied by the finite element method. Classical, first-order and third-order shear theories for plates are used in the finite element formulation. Since most composites exhibit significant nonlinearity in the shear stress-strain law, this is included in the present analysis.

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Investigation of Impact Behavior by Thickness variation of Laminated Composite Subjected to Low-Velocity Impact (저속충격을 받는 복합적층판의 두께 변화에 따른 충격거동 조사)

  • Kwon, Suk-Jun;Jeon, Jin-Hyung;Kim, Seung-Deog
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.74-79
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    • 2008
  • In this study, impact transient responses of (Graphite/Epoxy) laminated composite subjected to low-velocity impact are investigated using a finite element method. Dynamic von-Karman plate equations considering large deflection of plate are modified to include the effect of transverse shear deformations as in Mindlin plate theory and also the rotary inertia effect is considered. The convergence of transient responses is used contact law established through the statical indentation test. We investigate displacements, contact forces and strains by thickness variation of various laminated composite. We compare and analyze each results.

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Analysis of Post-tensioned Slab Bridge by Means of Specially Orthotropic Laminates Theory (특별직교이방성 복합적층판 이론을 응용한 포스트텐션된 슬래브 교량의 해석)

  • Han, Bong Koo;Kim, Yun Pyo
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.105-111
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    • 2002
  • A post-tensioned slab bridge is analyzed by the specially orthotropic laminates theory. Both the geometry and the material of the cross section of the slab are considered symmetrical with respect to the mid-surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis. The result of this paper can be used for post-tensioned slab bridge analysis by the engineers with undergraduate study in near future.

Design of Composite Laminates Using Enumeration Method (나열법을 이용한 복합재 적층판 설계)

  • Joung, Chanwoo;Bae, Il-Joon;Park, Young-Bin
    • Composites Research
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    • v.33 no.5
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    • pp.288-295
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    • 2020
  • Fiber-reinforced composite laminates have high specific stiffness and strength and are expected to be useful for weight reduction in weight-sensitive industries, such as automotive and aerospace. However, designing composite laminates is often dependent on designer's experience and intuition because of difficulties in determining the number of plies and stacking sequence, which tends to lead to over-design. In this study, optimal design of composite laminates was performed to minimize weight, while withstanding the given load. Based on the enumeration method, all combinations of stacking sequence satisfying the design guideline for composite laminates were considered. Composite laminates were discretized into panels. Optimal number of plies and stacking sequence for each panel were determined considering local load on each panel and contiguity across adjacent panels. Failure index from Tsai-Wu criteria was optimized for strength and buckling analysis was performed for compressive load. Stacking angles of 0, ±45 and 90° were used.