• 제목/요약/키워드: Symmetric Laminated Composite

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

  • 박원태;최재진;장석윤
    • 한국강구조학회 논문집
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    • 제12권3호통권46호
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    • pp.291-302
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    • 2000
  • 복합적층 구조물에서 복합재료는 그 자체의 높은 강성, 강도와 내구성등의 특성을 갖고 있을 뿐 아니라, 구조물의 역학적 특성에 따라 얼마든지 재료의 특성을 합리적으로 구성하여 배치할 수 있는 매우 우수한 장점이 있다. 본 연구에서는 등분포로 재하된 복합적층경사판의 처짐에 관한 해석으로서 복합적층 경사판의 처짐을 나타내는 단일 4차 편미분방정식을 3개의 종속변수를 갖는 3원2차 연립방정식을 이용하여 해석하는 수치해석 법을 제시하였으며, 대칭 앵글-플라이 각도로 적층, 역대칭 앵글-플라이 각도로 적층, 비대칭 앵글-플라이 각도로 적층한 경우에 처짐과 단면력을 비교 검토하였다.

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2개의 원형개구부가 있는 복합재료 적층판의 응력해석 (Stress Analysis of Composite Laminated Plates with 2 Collinear Circular Cutouts)

  • 이윤복;이영신
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 추계학술발표대회 논문집
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    • pp.223-226
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    • 1999
  • This paper presents the theoretical analysis method to determine the stress concentrations around the circular cutouts with various geometrical parameters. The purposes of this study are to investigate on the stress distribution around the circular cutouts due to interaction between two circular cutouts and to develop the design method in composite plates. The composite laminated plate with 2 equal collinear circular cutouts under inplane loads is treated as an quasi-isotropic, symmetric, finite, square, multiply connected and thin plate. The effects of cutout sizes, distances between two circular cutouts and inplane load conditions on stress distribution are studied in detail.

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적층복합 T형 보의 휨 해석 (Flexural Analysis of Laminated Composite T-Beams)

  • 백성용
    • 한국강구조학회 논문집
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    • 제26권5호
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    • pp.397-405
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    • 2014
  • 본 연구에서는 적층복합 T형 보의 휨 해석을 위해 전단에 유연한 보 요소를 제안한다. 1차 전단변형 보 이론을 사용해 유도된 보 요소는 ? 전단변형과 재료의 비등방성 성질에 따른 모든 연계성을 고려한다. 지배방정식의 해를 구하기 위해 절점 당 7개의 자유도를 갖는 2절점, 3절점, 4절점의 세 가지 보 요소를 제안한다. 제안된 보 요소의 활용성과 정확성을 검증하기 위해 등분포하중과 집중하중을 받는 대칭 및 역대칭 앵글프라이 복합 T형 보에 대해 수치해석을 수행한다. 다른 적층순서에 대해 화이버 각과 전단변형의 영향을 조사한다. 적층 복합 T형 보의 휨 해석에 대해 3절점과 4절점 보 요소의 유효성을 입증하였다.

Bending analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings

  • Belbachir, Nasrine;Draich, Kada;Bousahla, Abdelmoumen Anis;Bourada, Mohamed;Tounsi, Abdelouahed;Mohammadimehr, M.
    • Steel and Composite Structures
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    • 제33권1호
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    • pp.81-92
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    • 2019
  • The present paper addresses a refined plate theoryin order to describe the response of anti-symmetric cross-ply laminated plates subjected to a uniformlydistributed nonlinear thermo-mechanical loading. In the present theory, the undetermined integral terms are used and the variables number is reduced to four instead of five or more in other higher-order theories. The boundary conditions on the top and the bottom surfaces of the plate are satisfied; hence the use of the transverse shear correction factors isavoided. The principle of virtual work is used to obtain governing equations and boundary conditions. Navier solution for simply supported plates is used to derive analytical solutions. For the validation of the present theory, numerical results for displacements and stressesare compared with those of classical, first-order, higher-order and trigonometricshear theories reported in the literature.

자기장 및 열하중을 받는 복합재료 원통셸의 진동 및 안정성해석 (Vibration and Stability of Composite Cylindrical Shells Subjected to Electromagnetic and Thermal Fields)

  • 박상윤;강성환;서정석;송오섭
    • 한국소음진동공학회논문집
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    • 제23권9호
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    • pp.797-805
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    • 2013
  • In this paper vibration and stability analysis of laminated composite shells based on the first order shear deformation theory(FSDT) for two different boundary conditions(clamped-clamped, simply supported) are performed. Structural model of cross-ply symmetric laminated composite cylindrical shells subjected to a combination of magnetic and thermal fields is developed via Hamilton's variational principle. These coupled equations of motion are based on the electromagnetic equations(Faraday, Ampere, Ohm, and Lorenz equations)and thermal equations which are involved in constitutive equations. Extended Galerkin method is adopted to obtain the discretized equations of motion. Variations of dynamic characteristics of composite shells with applied magnetic field, temperature gradient, laminate thickness-ratio and radius ratio for two boundary conditions are investigated and pertinent conclusions are derived.

저속 충격시 고차이론을 이용한 복합 재료 판의 동적 특성 (Dynamic Characteristics of Composite Plates Based On a Higher Order Theory Under Low-Velocity Impact)

  • 심동진;김지환
    • 소음진동
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    • 제8권1호
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    • pp.132-138
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    • 1998
  • The dynamic response of symmetric cross-ply and angle-ply composite laminated plates under impact loads is investigated using a higher order shear deformation theory. A modified Hertz law is used to predict the impact loads and a four node finite element is used to model the plate. By using a higer order shear deformation theory, the out-of-plane shear stresses, which can be a crucial factor in the failure of composite plates, are determined with significant accuracy. This is accomplished by using a stress recovery technique using the in-plane stresses. The results compared with previous investigations showed good agreement. It can be seen that this method of analyzing impact problems is more efficient than current three dimensional methods in terms of time and expense.

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Nonlinear damping and forced vibration analysis of laminated composite plates with composite viscoelastic core layer

  • Youzera, Hadj;Ali, Abbache;Meftah, Sid Ahmed;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제44권1호
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    • pp.91-104
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    • 2022
  • The purpose of the present work is to study the parametric nonlinear vibration behavior of three layered symmetric laminated plate. In the analytical formulation; both normal and shear deformations are considered in the core layer by means of the refined higher-order zig-zag theory. Harmonic balance method in conjunction with Galerkin procedure is adopted for simply supported laminate plate, to obtain its natural and damping properties. For these aims, a set of complex amplitude equations governed by complex parameters are written accounting for the geometric nonlinearity and viscoelastic damping factor. The frequency response curves are presented and discussed by varying the material and geometric properties of the core layer.

Application of FEM on first ply failure of composite hypar shells with various edge conditions

  • Ghosh, Arghya;Chakravorty, Dipankar
    • Steel and Composite Structures
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    • 제32권4호
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    • pp.423-441
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    • 2019
  • This study aims to accurately predict the first ply failure loads of laminated composite hypar shell roofs with different boundary conditions. The geometrically nonlinear finite element method (FEM) is used to analyse different symmetric and anti-symmetric, cross and angle ply shells. The first ply failure loads are obtained through different well-established failure criteria including Puck's criterion along with the serviceability criterion of deflection. The close agreement of the published and present results for different validation problems proves the correctness of the finite element model used in the present study. The effects of edge conditions on first ply failure behavior are discussed critically from practical engineering point of view. Factor of safety values and failure zones are also reported to suggest design and non-destructive monitoring guidelines to practicing engineers. Apart from these, the present study indicates the rank wise relative performances of different shell options. The study establishes that the angle ply laminates in general perform better than the cross ply ones. Among the stacking sequences considered here, three layered symmetric angle ply laminates offer the highest first ply failure load. The probable failure zones on the different shell surfaces, identified in this paper, are the areas where non-destructive health monitoring may be restricted to. The contributions made through this paper are expected to serve as important design aids to engineers engaged in composite hypar shell design and construction.

Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions

  • Benhenni, Mohammed Amine;Daouadji, Tahar Hassaine;Abbes, Boussad;Abbes, Fazilay;Li, Yuming;Adim, Belkacem
    • Structural Engineering and Mechanics
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    • 제70권5호
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    • pp.535-549
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    • 2019
  • This study aimed to develop a high-order shear deformation theory to predict the free vibration of hybrid cross-ply laminated plates under different boundary conditions. The equations of motion for laminated hybrid rectangular plates are derived and obtained by using Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle-ply laminates are obtained by using Navier's solution. To assess the validity of our method, we used the finite element method. Firstly, the analytical and the numerical implementations were validated for an antisymmetric cross-ply square laminated with available results in the literature. Then, the effects of side-to-thickness ratio, aspect ratio, lamination schemes, and material properties on the fundamental frequencies for different combinations of boundary conditions of hybrid composite plates are investigated. The comparison of the analytical solutions with the corresponding finite element simulations shows the good accuracy of the proposed analytical closed form solution in predicting the fundamental frequencies of hybrid cross-ply laminated plates under different boundary conditions.

이중탄성계수 복합재료판의 좌굴 (Buckling of Bimodulus Composite Thin Plate)

  • 이영신;김종천
    • 대한기계학회논문집
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    • 제18권6호
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    • pp.1520-1534
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    • 1994
  • A new analytical method for the prediction of the buckling behavior of laminated plates consisting of layers having different properties in tension and compression, so called bimodulus, is proposed in this paper. Buckling analysis of bimodular composite laminated paltes are performed with the results reduced from plate bending analysis. The governing equations of bimodular plates are based on the first shear deformation theory. As a case study, bending and buckling of simply supported, multilayered, symmetric, antisymmtric, and specially orthotropic laminates under uniformly distributed lateral load for bending analysis and in-plane load for buckling are considered. The results of the bending analysis are compared with the previous papers. Then, the fundamental critical buckling loads and buckling modes are calculated for the various bimodular composite rectangular thin plates.