• Title/Summary/Keyword: Special orthotropic

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A Simple Method of Vibration Analysis of Special Orthotropic Plate with A Pair of Opposite Edges Simply Supported and The Other Pair of Opposite Edges Free (양단단순-양단자유지지된 특별직교 이방성 적층복합판의 진동해석을 위한 간편법)

  • Kim Duk-Hyun;Kim, Kyeong-Jin;Hong, Chang-Woo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.135-142
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    • 1996
  • In this paper, a simple tut accurate method of vibration analysis of structural elements with or without attached mass/masses is presented. The method used has been developed by the senior author since 1974. This method is very effective for the plates with arbitrary boundary conditions and irregular sections. This method is applied to the special orthotropic Plate with two opposite edges simply supported and the other two opposite edges free. Such plate represents the most of the simply supported bridges/decks, including concrete and girders-cross beam systems. Detailed illustration is given for beams and plates for easy understanding. Some laminate orientation for which the special orthotropic equations can be applied are identified.

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Elastic Buckling Analysis of a Simply Supported Orthotropic Plate with Exponentialy Variable Thickness (두께가 변하는 직교이방성판의 탄성좌굴해석)

  • 장성열;정상균;윤순종
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.25-28
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    • 2001
  • The problem considered is the buckling of a rectangular orthotropic plate, tapered in thickness in a direction parallel to two sides and compressed in that direction. Curves are presented showing the variation of buckling stress coefficient with the special loads. The type of thickness variation is exponential. While this paper is presented how to design for an efficient orthotropic plate taper from physical consideration.

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Structural Analysis of Elastic supported Special Orthotropic Composite Plates (탄성지지된 특별직교 이방성 복합판의 구조해석)

  • 김덕현;박제선;심도식;이정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.04a
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    • pp.200-210
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    • 1997
  • This paper presents the result of analysis of special orthotropic plates supported by elastic foundation and simple supported edges. Convergence and accuracy of the solution are examined and it is verified that the solution obtained is sufficiently accurate. The effect of the spring constant, k, on deflection is studied.

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The effect of non-homogeneity on the stability of laminated orthotropic conical shells subjected to hydrostatic pressure

  • Zerin, Zihni
    • Structural Engineering and Mechanics
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    • v.43 no.1
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    • pp.89-103
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    • 2012
  • In this study, the stability of laminated homogeneous and non-homogeneous orthotropic truncated conical shells with freely supported edges under a uniform hydrostatic pressure is investigated. It is assumed that the composite material is orthotropic and the material properties depend only on the thickness coordinate. The basic relations, the modified Donnell type stability and compatibility equations have been obtained for laminated non-homogeneous orthotropic truncated conical shells. Applying Galerkin method to the foregoing equations, the expression for the critical hydrostatic pressure is obtained. The appropriate formulas for the single-layer and laminated, cylindrical and complete conical shells made of homogeneous and non-homogeneous, orthotropic and isotropic materials are found as a special case. Finally, effects of non-homogeneity, number and ordering of layers and variations of shell characteristics on the critical hydrostatic pressure are investigated.

A Study on Determination of Stress Intensity Factor of Orthotropic Plates Using Crack Tip Singular Element (균열선단 특이요소를 이용한 직교이방성판의 응력확대계수 결정에 관한 연구)

  • 진치섭;최현태;이홍주
    • Proceedings of the Korea Concrete Institute Conference
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    • 1991.10a
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    • pp.124-128
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    • 1991
  • Wood, laminates, reinforced concrete, and some special types of metals systems with controlled grain orientation are often orthotropic and at least rectilinearly anisotropic from point to point, if regarded as homogeneous media. Orthotropic bodies where a crack is not associated with a plane of elastic symmetry may be conveniently treated as a crack problem in a generally anisotropic body. At this work, approach for the determination of the stress intensity factors (SIF) of anisotropic body using crack tip singular elements is presented. Caculated values are in good agreement with the others.

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Natural Frequencies of Laminated Composite Plates Attached Point Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적충복합판의 고유진동수)

  • Park, Jae-Sean;Hong, Chang-Woo;Lee, Jung-Ho;Lee, Joo-Hyung
    • Journal of Industrial Technology
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    • v.19
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    • pp.235-243
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    • 1999
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniformly distributed axial force and attached mass was carried out. Because it is complicated to analysis this type of plate by theory of antisymmetric laminate, possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that was able to neglect self-weight of plate was proposed.

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Natural Frequencies of Laminated Composite Plates with Attached Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적층복합판의 고유진동수에 관한 연구)

  • Hong, Chang-Woo;Kim, Kyeong-Jin
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.4 no.4
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    • pp.181-190
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    • 2000
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniform axial-loading and attached mass was carried out. Because it is complicated to analyze this type of plate by theory of antisymmetric laminate possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that Was able to neglect self-weight of plate was proposed.

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Bridge Superstructures Design by Special Othotropic Plate Theory (특별직교 이방성 판 이론에 의한 교랑 상부구조 설계)

  • Kim, Dun-Hyun;Han, Bong-Koo;Lim, Tae-Ho;Oh, Sang-Sub
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.10a
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    • pp.171-174
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    • 2003
  • The Special orthotropic plate theory is used for analysis of panels made of steel girders and cross-beams, and made of reinforced concrete. The cross-sections of girders and cross-beams are WF types. The result is compared with that of the beam theory. According to the numerical examination given in this paper, the result by the plate theory is 2.43 times stiffer than that of beam theory, The result for the concrete slab in given for the practicing engineers.

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Analysis of Orthotropic Cylindrical Shells Subjected to Localized Loads (국부하중 을 받는 직교이방성 원통셀 의 해석)

  • 이영신;박정화;옹장우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.5
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    • pp.408-415
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    • 1984
  • The stress state of orthotropic cylindrical shells subjected to localized loads is considered. The governing equations for orthotropic cylindrical shells are derived on the basis of the Morley-Koiter's isotropic shell theory. It is assumed here that the material has a special orthotropy. Solutions are obtained by the Bijlaard's method in the from of double Fourier series. Numerical examples are presented for cylindrical shells having various orthotropic material properties and shell geometries.

Energy Release Rates for a Dynamically Growing Crack in Orthotropic Materials (직교이방체에서 동적성장하는 균열에 대한 에너지해방률)

  • 주석재
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.7
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    • pp.1590-1596
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    • 1995
  • The energy release rates for a dynamically growing crack in orthotropic materials are expressed explicitly in terms of dynamic stress intensity factors. The stress functions suitable for the problem are found and the evaluation of the J-integral for the theoretical singular crack tip fields yields energy release rates. The present results are simpler than the existing ones and can be reduced to the well known solutions in special cases. Examples of extracting stress intensity factors from the finite element solution using the present results are given for the dynamically growing crack problem of orthotropic materials.