• Title/Summary/Keyword: orthotropic laminates

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Vibration Analysis of Special Orthotropic Laminated Composite Plates under Axial Loadings (축방향 하중을 받는 특별직교이방성 적층복합판의 진동해석)

  • Won, Chi Moon
    • Journal of Korean Society of Steel Construction
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    • v.18 no.1
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    • pp.93-100
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    • 2006
  • A simple but precise method of calculating the natural vibration frequencies of composite laminated plates with all-simple support and under axial loadings is presented herein. This method uses deflection influence surfaces, which can be obtained by any method for vibration analysis and member due to the inertia force under resonance condition. Beginning with an initially guessed mode shape, the exact mode shape is obtained by the process similar to iteration. In this paper, equations are given for the case of special orthotropic laminates. The same equations, however, can be used for any laminate as long as ${B_1_6}$, ${B_2_6}$, ${D_1_6}$, and ${D_2_6}$ are negligible as the number of plies increases. Some laminates that possess such properties are presented in the paper.

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.

Analysis of Post-tensioned Bridge by Specially Orthotropic Laminate Theory (I) - Reinforced Concrete Slab Bridge (특별직교이방성 이론에 의한 포스트 텐션된 교량의 해석(I) - 철근 콘크리트 슬래브교 -)

  • 김덕현;원치문;이정호
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.135-140
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    • 2001
  • A post-tensioned reinforced concrete slab bridge is analyzed by specially orthotropic laminate theory. Symmetrically reinforced slab with tension and compression steel is considered for convenience of analysis. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of the rule of mixture. This bridge is under uniformly distributed vertical loads, and axial loads and end moments due to post-tensioning. In this paper, finite difference method is used for numerical analysis of this bridge. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used for design of new bridges, and maintenance and repair of old bridges.

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Analysis of Post-tensioned Bridge by Specially Orthotropic Laminate Theory (II) - Steel Plate Girder Bridge (특별직교이방성 이론에 의한 포스트 텐션된 교량의 해석(II) - 강 판형교 -)

  • 김덕현;원치문;이정호
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.141-146
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    • 2001
  • A post-tensioned steel plate girder bridge with cross-beams is analyzed by specially orthotropic laminate theory. The cross-sections of both girders and cross-beams are WF types. The result is compared with that of the beam theory. This bridge with simple support is under uniformly distributed vertical load, and axial loads and moment due to post-tension. In this paper, finite difference method for numerical analysis of simple supported bridge is developed. Relatively exact solution is obtained even with small number of meshes. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used in design of new bridges, and maintenance and repair of old bridges.

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The Effects of Temperature Change on the Residual Bending Strength of CFRP Laminates after Impact (온도변화가 CFRP 적층재의 충격후 잔류굽힘강도에 미치는 영향)

  • Ra Seung-woo;Jung Jong-an;Yang In-young
    • Journal of the Korean Society of Safety
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    • v.20 no.1 s.69
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    • pp.75-80
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    • 2005
  • In this paper, when CF/EPOXY laminates for high efficiency space structure are subjected to FOD(Foreign Object Damage), the effects of temperature change on the impact damages(inter laminar separation and transverse crack) of CF/EPOXY laminates and the relationship between residual life and impact damages ale experimentally investigated. Composite laminates used in this experiment are CF/EPOXY orthotropic laminated plates, which have two-interfaces $[0^{\circ}_6/90^{\circ}_6]S$ and four-interfaces $[0^{\circ}_3/90^{\circ}_6/0^{\circ}_3]S$. CF/EPOXY specimens with impact damages caused by a steel ball launched from the air gun were observed by the scanning acoustic microscope under room and high temperatures. In this experimental results, various relations were experimentally observed including the delamination area vs. temperature change, the bending strength vs. impact energy and the residual bending strength vs. impact damage of CF/EPOXY laminates. And as the temperature of CF/PEEK laminates increases, the delaminaion areas of impact-induced damages decrease linearly. A linear relationship between the impact energy and the delamination areas were observed. As the temperature of CF/PEEK laminates increases, the delamination areas decrease because of higher initial delaminatin damage energy.

The Impact Damage and the Residual Strength of CF/PEEK Laminate Subjected to Transverse Impact under the High Temperature (고온하에서 횡충격을 받는 CF/PEEK 적층재의 충격손상과 잔류강도)

  • Yang, I.Y.;Jung, J.A.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.6
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    • pp.66-75
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    • 1994
  • In this paper, the effects of temperature change on the impact damages of CF/PEEK laminates are experimentally investigated. Composite laminates used in this experiment are CF/PEEK orthotropic laminated plates, which have two-interfaces$[0^{\circ}_4/90^{\circ}_4]_{9+} A steel ball launched by the air gun collides against CFRP laminates to generate impact damage. The delamination damages are oberved by a scanning acoustic microscope. And various relations are experimentally observed including the impact energy vs. delamination area, the specimen temperature vs. transverse crack, and the impact energy vs. residual bending strength of carbon fiber peek composite laminates subjected to FOD(Foreign Object Damage) under high temperatures.

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Optimization of Microwave Absorbing Performance in Polymer Matrix Composite Laminate (고분자 기기 복합재료 적층판의 전자파 흡수 최적화)

  • 김진봉;김태욱
    • Composites Research
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    • v.14 no.6
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    • pp.38-46
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    • 2001
  • In this study, An optimization code that can design microwave absorbing composite laminates is developed, and 3-layered microwave absorbing composite laminates are developed by optimizing the thickness of each layer. The layers are 3 different composite laminates. Many variables including lay-up angles of electromagnetically orthotropic composite layer can be considered in this code. The developed laminate is composed of an impedance matching layer of glass/epoxy fabric laminate, a glass/epoxy fabric laminate layer containing aluminum filler and carbon/epoxy fabric laminate layer. Permittivities of the materials are obtained using a network analyzer and a coaxial air line.

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Simple Method of Analysis for Reinforced Concrete Slab Bridges (간단한 방법에 의한 철근콘크리트 슬래브 교량의 해석)

  • Han, Bong-Koo;Kim, Duk-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.4
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    • pp.81-89
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    • 2003
  • The simple supported reinforced concrete slab bridges are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. The result of this paper can be used for reinforced concrete slab bridges analysis by the engineers with undergraduate study in near future.

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

  • Han, Bong-Koo;Kim, Duk-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.2
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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.

An investigation into the mechanics of fiber reinforced composite disk springs

  • Yang, Peng;Van Dyke, Stacy;Elhajjar, Rani F.
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.775-791
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    • 2015
  • An analytical and experimental investigation is performed into the mechanical behavior of carbon-fiber/epoxy woven coned annular disk springs. An analytical approach is presented for predicting the deformation behavior of disk springs of specially orthotropic laminates with arbitrary geometric parameters. In addition, an analytical methodology is proposed for obtaining the deformation behavior of a stack of disk springs. The methodology is capable of accounting for parallel and series arrangements for uniform and irregular stacks. Element and assembly experimental results are used to validate the proposed method showing how to achieve flexible spring rates at various deflections ranges. This manuscript also provides guidelines for design and validation of disk spring assemblies.