• 제목/요약/키워드: Orthotropic material.

검색결과 285건 처리시간 0.034초

Dynamic behaviour of orthotropic elliptic paraboloid shells with openings

  • Darilmaz, Kutlu
    • Structural Engineering and Mechanics
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    • 제63권2호
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    • pp.225-235
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    • 2017
  • In this paper a vibration study on orthotropic elliptic paraboloid shells with openings is carried out by using a hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Natural frequencies of orthotropic elliptic paraboloid shells with and without openings are presented. The influence of aspect ratio, height ratio, opening ratio and material angle on the frequencies and mode shapes are investigated.

복합재료 적층판의 유한요소법 기반 역학적 거동 해석

  • 임영남;천재희;이호성
    • EDISON SW 활용 경진대회 논문집
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    • 제4회(2015년)
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    • pp.285-291
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    • 2015
  • In this paper, a composite material analysis program based on the finite element method(FEM) is used. The purpose of this study was to verify whether the composite material analysis program which developed as part of a project of development of softwares and educational contents for structural vibration and composite material analysis that can calculate how similar the macroscopic mechanical behavior of the composite materials actually. Because composite materials are generally anisotropic, analysis of composite laminate is used for the constitutive equations of orthotropic material. For convenience, the unit is ommited in all calculations. To verify the accuracy of the finite element method based program, the deflection and stress distribution of the simply supported composite material laminated plate subjected to a uniform load distribution is compared with exact solution. Size and properties of the composite material laminate used for analysis are fixed variables, and by changing the number of elements and the total thickness of the laminate is compared with the exact solution to the resulting value, respectively.

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광탄성 직교이방성체의 물성치와 응력 프린지치 간이 측정법 (The simple measurement of physical properties and stress fringe value for photo-elastic orthotropic material)

  • 황재석;이광호
    • 대한기계학회논문집
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    • 제14권1호
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    • pp.23-36
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    • 1990
  • 본 연구에서는 Iosipescu의 전단 시험법을 사용하여 직접 측정한 응력 프린지 치(f$_{LT}$ )와 Sampson의 응력-광법칙에 의하여 구한 f$_{LT}$ 와 서로 비교하여 Sampson의 응력-광법칙이 f$_{LT}$ 를 간접적으로 측정하는데 사용할 수 있는가를 확 인한다. 그리고 직교 이방성 재료를 광탄성 실험에 의하여 해석하는 경우에 필요한 기본물성치와 응력 프린지치 관계를 구하여 이 관계가 상온과 고온에서도 성립하는가 를 확인하고 또 직접 물성치를 측정하는 대신에 각 물성치에 대응되는 응력 프린지치 에 의하여 물성치를 구하는 방법을 개발하는데 이 연구의 목적을 둔다.

균열을 내포하는 직방성재료의 해석 (Analysis of Orthotropic Materials with Crack)

  • 임원균
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2001년도 춘계학술대회
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    • pp.179-184
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    • 2001
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by the use of second order term in the series expansion is important for the accurate determination of crack growth direction.

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A GN model of thermoelastic interaction in a 2D orthotropic material due to pulse heat flux

  • Hobiny, Aatef;Abbas, Ibrahim A.
    • Structural Engineering and Mechanics
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    • 제80권6호
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    • pp.669-675
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    • 2021
  • A GN model with and without energy dissipations is used to discuss the waves propagation in a two-dimension orthotropic half space by the eigenvalues approach. Using the Laplace-Fourier integral transforms to get the solutions of the problem analytically, the basic formulations of the two-dimension problem are given by matrices-vectors differential forms, which are then solved by the eigenvalues scheme. Numerical techniques are used for the inversion processes of the Laplace-Fourier transform. The results for physical quantities are represented graphically. The numerical outcomes show that the characteristic time of pulse heat flux have great impacts on the studied fields values.

이방향성 회전 직교축 모델을 이용한 철근콘크리트 면부재의 비선형 유한요소해석 (Nonlinear Finite Element Analysis of Reinforced Concrete Planar Members Using Rotating Orthotropic Axes Model)

  • 박홍근
    • 전산구조공학
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    • 제8권4호
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    • pp.117-127
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    • 1995
  • 이 연구의 목적은 단조하중과 반복하중을 받는 철근콘크리트 면부재 해석에 대한 이방향성 회전 직교축 모델의 성능을 검토하기 위함이다. 여기서 다루는 구조부재는 철근에 의하여 적절히 보강된 보, 기둥, 보-기둥 접합부, 그리고 전단벽등으로 부재의 파괴가 인장균열후 압축파괴에 의하여 일어나는 부재이다. 보통 단조하중에 대하여 사용도는 이방향성 회전 직교축 모델을 반복하중에 대하여 확장하며, 철근과 부착의 기존 재료모델과 함꼐 유한요소해석에 사용한다. 단조하중에 대하여 이방향성 회전 직교축 모델을 사용한 해석 결과는 취성파괴를 나타내는 철근콘크리트보의 실험결과와 비교된다. 또한 반복하중을 받는 전단벽의 극한하중, 비선형 변형, 핀칭 현상 등에 대하여 실험결과와 비교된다.

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X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction)

  • 조상봉;이광호
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

A simple analytical model for free vibration and buckling analysis of orthotropic rectangular plates

  • Sellam, Souad;Draiche, Kada;Tlidji, Youcef;Addou, Farouk Yahia;Benachour, Abdelkader
    • Structural Engineering and Mechanics
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    • 제75권2호
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    • pp.157-174
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    • 2020
  • In the present paper, a simple analytical model is developed based on a new refined parabolic shear deformation theory (RPSDT) for free vibration and buckling analysis of orthotropic rectangular plates with simply supported boundary conditions. The displacement field is simpler than those of other higher-order theories since it is modeled with only two unknowns and accounts for a parabolic distribution of the transverse shear stress through the plate thickness. The governing differential equations related to the present theory are obtained from the principle of virtual work, while the solution of the eigenvalue problem is achieved by assuming a Navier technique in the form of a double trigonometric series that satisfy the edge boundary conditions of the plate. Numerical results are presented and compared with previously published results for orthotropic rectangular plates in order to verify the precision of the proposed analytical model and to assess the impacts of several parameters such as the modulus ratio, the side-to-thickness ratio and the geometric ratio on natural frequencies and critical buckling loads. From these results, it can be concluded that the present computations are in excellent agreement with the other higher-order theories.

Fluid flow profile in the "orthotropic plate+compressible viscous fluid+rigid wall" system under the action of the moving load on the plate

  • Akbarov, Surkay D.;Huseynova, Tarana V.
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.289-309
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    • 2020
  • The paper studies the fluid flow profile contained between the orthotropic plate and rigid wall under the action of the moving load on the plate and main attention is focused on the fluid velocity profile in the load moving direction. It is assumed that the plate material is orthotropic one and the fluid is viscous and barotropic compressible. The plane-strain state in the plate and the plane flow of the fluid is considered. The motion of the plate is described by utilizing the exact equations of elastodynamics for anisotropic bodies, however, the flow of the fluid by utilizing the linearized Navier-Stokes equations. For the solution of the corresponding boundary value problem, the moving coordinate system associated with the moving load is introduced, after which the exponential Fourier transformation is employed with respect to the coordinate which indicates the distance of the material points from the moving load. The exact analytical expressions for the Fourier transforms of the sought values are obtained, the originals of which are determined numerically. Presented numerical results and their analyses are focused on the question of how the moving load acting on the face plane of the plate which is not in the contact with the fluid can cause the fluid flow and what type profile has this flow along the thickness direction of the strip filled by the fluid and, finally, how this profile changes ahead and behind with the distance of the moving load.