• 제목/요약/키워드: Orthotropic plate

검색결과 265건 처리시간 0.023초

보 이론에 의한 PSC 슬래브 교량의 해석 (Analysis of Prestressed Concrete Slab Bridge by the Beam Theory)

  • 한봉구;김덕현
    • 한국구조물진단유지관리공학회 논문집
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    • 제7권2호
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    • pp.115-124
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    • 2003
  • A prestressed concrete 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.

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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틸팅열차용 화이버 다층재의 차음성능 해석 (Transmission Loss Analysis of the Fiber Sandwich Panels for a Tilting Train)

  • 김석현;백인수;김재철
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.2191-2194
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    • 2008
  • This paper investigates the sound insulation performance of the fiber sandwich panels for a tilting train. Due to the high strength and low mass, fiber sandwich panels are widely used for aircraft structures, railway vehicle structures. These fiber sandwich panels show orthotropic behavior because of the fiber's structural characteristics. This orthotropy often reduces the critical frequency and makes negative effect on the sound insulation performance. In this study, transmission loss of the fiber panels is analyzed based on the equivalent orthotropic plate model. An analysis program is developed to calculate the transmission loss of the fiber sandwich panels. Using the program, the coincidence frequency ranges and their effects on the transmission loss are investigated.

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구형등가보 원리에 의한 튜브 구조물의 전단응력 해석 (Orthotropic Beam Analogy for Analysis of Shear Stresses in Framed-Tube Structures)

  • 이강건;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.393-400
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    • 2001
  • A simple numerical modelling technique is proposed for estimating the shear stress distribution in beams of framed tube structures with multiple internal tubes. The structures are analysed using a continuum approach in which each tube is individually modelled by a tube beam that accounts for the flexural and shear deformations, as well as the shear lag effects. The method idealises the discrete tubes-in-tube structures as an assemblage of equivalent multiple beams, each composed of orthotropic plate panels. The numerical analysis of shear stress is based on the elastic theory in conjunction with the minimum potential energy principle. By simplifying assumptions regarding the form of strain distributions in external and internal tubes, the shear stress distributions are expressed in terms of a series of linear functions of the second moments of area of the structures and the corresponding geometric and material properties, as well as the applied loads. The simplicity and accuracy of the proposed method are demonstrated through the solutions of three numerical examples.

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Failure analysis of laminates by implementation of continuum damage mechanics in layer-wise finite element theory

  • Mohammadi, B.;Hosseini-Toudeshky, H.;Sadr-Lahidjani, M.H.
    • Structural Engineering and Mechanics
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    • 제33권6호
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    • pp.657-674
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    • 2009
  • In this paper a 3-D continuum damage mechanics formulation for composite laminates and its implementation into a finite element model that is based on the layer-wise laminate plate theory are described. In the damage formulation, each composite ply is treated as a homogeneous orthotropic material exhibiting orthotropic damage in the form of distributed microscopic cracks that are normal to the three principal material directions. The progressive damage of different angle ply composite laminates under quasi-static loading that exhibit the free edge effects are investigated. The effects of various numerical modeling parameters on the progressive damage response are investigated. It will be shown that the dominant damage mechanism in the lay-ups of [+30/-30]s and [+45/-45]s is matrix cracking. However, the lay-up of [+15/-15] may be delaminated in the vicinity of the edges and at $+{\theta}/-{\theta}$ layers interfaces.

Stiffened orthotropic corner supported hypar shells: Effect of stiffener location, rise/span ratio and fiber orientaton on vibration behavior

  • Darilmaz, Kutlu
    • Steel and Composite Structures
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    • 제12권4호
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    • pp.275-289
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    • 2012
  • In this paper the influence of stiffener location, rise/span ratio and fibre orientation on vibration behavior of corner supported hypar shells is studied by using a four-node 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. Benchmark problems are solved to validate the approach and free vibration response of stiffened orthotropic hypar shells is studied both with respect to fundamental frequency and mode shapes by varying the location of stiffeners, rise/span ratio and fiber orientation.

Photothermoelastic interactions under Moore-Gibson-Thompson thermoelasticity

  • Kumar, Rajneesh;Sharma, Nidhi;Chopra, Supriya
    • Coupled systems mechanics
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    • 제11권5호
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    • pp.459-483
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    • 2022
  • In the present work, a new photothermoelastic model based on Moore-Gibson-Thompson theory has been constructed. The governing equationsfor orthotropic photothermoelastic plate are simplified for two-dimension model. Laplace and Fourier transforms are employed after converting the system of equations into dimensionless form. The problem is examined due to various specified sources. Moving normal force, ramp type thermal source and carrier density periodic loading are taken to explore the application of the assumed model. Various field quantities like displacements, stresses, temperature distribution and carrier density distribution are obtained in the transformed domain. The problem is validated by numerical computation for a given material and numerical obtained results are depicted in form of graphs to show the impact of varioustheories of thermoelasticity along with impact of moving velocity, ramp type and periodic loading parameters. Some special cases are also explored. The results obtained in this paper can be used to design various semiconductor elements during the coupled thermal, plasma and elastic wave and otherfieldsin thematerialscience, physical engineering.

Analysis of the thermal instability of laminated composite plates

  • H. Mataich;A. El Amrani;B. El Amrani
    • Coupled systems mechanics
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    • 제13권2호
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    • pp.95-113
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    • 2024
  • In this paper, we will analyse the thermo-elastic behavior of the plate element of a structure arranged in a climatically aggressive environment (extreme temperature), we use a refined four-variable thick plate theory to take the shear effect into consideration, the proposed theory less computationally expensive and more accurate so that it incorporates the shear effect into the formulation. The plate is assumed to be simply supported on its four edges, so exact (closed-form) solutions are found according to the Navier expansion, and the governing stability equations and associated boundary conditions of the problem are obtained via the virtual works principle. The plate studied ismade of laminated composite materials, so a parametric study is needed to see the effect of different types of parameters and coupling on the critical temperature value causing thermo-elastic instability of the plate and also on the natural frequency of free vibration, as well as for other parameters such as anisotropy, slenderness and aspect ratio of the plate and finally the lamination angle. Numerical results are obtained for specially orthotropic and antisymmetrical plates and are compared with those obtained by othertheoriesin the literature to validate the analysis approach used.

강바닥판의 스캘럽·다이아프램 설치 유무에 따른 교차부·컷아웃부 응력집중 (Stress Concentration at Connection and Cut-Out Parts according to Existence of Scallop and Diaphragms on Orthotropic Steel Decks)

  • 신재철
    • 한국강구조학회 논문집
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    • 제18권3호
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    • pp.289-299
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    • 2006
  • 강바닥판 교량은 비교적 얇은 강판을 서로 용접에 의해 연결한 구조물로서 많은 양의 용접을 피할 수 없다. 강바닥판의 횡리브복부판에서는 전단력과 비틀림 모멘트가 작용하는 동시에 종리브의 비틀림으로 인한 면내 면외 변형이 작용하기 때문에 종리브-횡리브 복부판-데크플레이트 교차부 및 횡리브복부판 컷아웃(슬릿)부에서 응력집중 현상이 두드러지게 발생하게 된다. 본 논문에서는 교차부 및 컷아웃(슬릿)부에서의 응력집중 현상 완화 및 피로성능 개선에 유리한 구조상세를 도출하고자 교차부에 스캘럽 유무 및 횡리브 복부판면과 일치되도록 종리브 내부에 설치하는 다이아프램의 설치 유무를 매개변수로 구조해석을 수행하였다. 다이아프램을 설치하는 동시에 교차부에 스캘럽을 두지 않을 경우 교차부 및 컷아웃(슬릿)부에서 최대응력 감소효과가 있음을 알 수 있었다. 따라서 교차부 및 컷아웃부에서의 응력집중 현상을 완화시켜 피로성능 개선에 기대효과가 있음을 알 수 있었다.

합성데크 바닥판 구조물의 진동해석을 위한 실용적인 모형화 (Practical Modeling for the Vibration Analysis of a Composite Deck Slab Structures)

  • 김재열;김기철
    • 한국지진공학회논문집
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    • 제9권3호
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    • pp.43-50
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    • 2005
  • 데크플레이트와 콘크리트가 합성되어 있는 합성 바닥판 구조물은 데크플레이트의 골 방향과 골 직각방향에 대하여 강성이 다르므로 직교이방성판 거동을 보이고 있으며 테크플레이트와 콘크리트의 합성 거동으로 인하여 적층 바닥판 구조물로 평가할 수 있다. 이러한 합성데크 바닥판 구조물의 진동에 대한 정확한 사용성 평가를 위해서는 합성데크 바닥판 구조물의 정밀 진동해석을 수행하여야 한다. 이를 위해서는 합성데크 바닥판 구조물의 강성에 대한 직교이방성 그리고 데크플레이트와 콘크리트의 합성에 대한 정확한 거동 평가가 수반되어야 한다. 본 논문에서는 합성데크 바닥판 구조물의 골 직각 방향에 대한 강성을 계산하기 위하여 각각의 토핑 콘크리트 두께와 데크플레이트 두께를 적용하였다. 또한 골 방향에 대한 강성을 계산하기 위하여 콘크리트와 데크플레이트의 단면 강성을 구하여 등가두께를 적용하였다. 그리고 콘크리트와 데크플레이트의 합성거동을 표현하기 위하여 적층판에 대한 등가 강성식을 적용, 합성데크 바닥판 구조물의 강성을 나타내었다. 본 논문에서 제안한 합성데크 바닥판 구조물의 실용적인 모형화방법을 적용할 경우에 합성데크 바닥판 구조물의 강성에 대한 직교이방성과 콘크리트와 데크플레이트의 합성 거동을 잘 표현할 수 있었다.