• Title/Summary/Keyword: 이방성판

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Higher-order Shear Deformable Analysis of Laminated Plates on Two-parameter Elastic Foundations (Two-parameter 탄성지반위에 놓인 고차전단변형 적층판의 해석)

  • Han, Sung-Cheon;Jang, Suk-Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.1
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    • pp.101-113
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    • 2001
  • The main purpose of this paper is to present deflections of laminated composite plates on the two-parameter foundations. that is an elastic foundation with shear layer. This paper focuses on the deformation behaviour of anisotropic structures on elastic foundations. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported isotropic and orthotropic plates on elastic foundations are compared with those of Timoshenko and LUSAS program. The results show an excellent agreement for the isotropic and LUSAS program. The results show an excellent agreement for the isotropic and orthotropic plates on the elastic foundations. Numerical results for displacements are presented to show the effects of side-to-thickness ratio aspect ratio, material anisotropy and shear modulus of foundations.

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Vibration Analysis of Stiffened Corrugated Composite Plates (보강된 적층 복합재료 주름판의 진동해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Composites Research
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    • v.33 no.6
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    • pp.377-382
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    • 2020
  • The free vibration characteristics of corrugated laminated composite plates with axial stiffeners is investigated using the Rayleigh-Ritz method. The plate is stiffened by beams with open cross-section area. The equivalent homogenization model is used for the corrugated laminated composite plates. This homogenization model is treated a corrugated plate as an orthotropic plate that has different material properties in two perpendicular directions. The motion of equivalent plate is represented on the basis of the first order shear deformation theory (FSDT) to account for the effect of rotary inertia and transverse shear deformation. Stiffeners are considered as discrete elements to predict the local vibration mode to be generated by the presence of stiffeners. To validate the proposed analytical approach, natural frequencies and vibration mode shapes from the analytical method are compared with those from the FEA by ANSYS.

Study on the Analysis of Orthotropic Thin Plates and Orthotropic Thick Plates (직교이방성 박판 및 후판의 해석연구)

  • 박원태;최재진
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.4 no.2
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    • pp.76-80
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    • 2003
  • In this study, it is presented analysis results of bending problems in the orthotropic thick plates and the orthotropic thin plates. Finite element method in this analysis was used. Both Kirchoffs assumptions and Mindlin assumptions are used as the basic governing equations of bending problems in the orthotropic plates. The analysis results are compared between the orthotropic thick plates and the orthotropic thin plates for the variations of thickness-width ratios.

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Buckling Analysis of Simply Supported Isosceles Trapezoidal Orthotropic Plate Using Collocation and Finite Element Method (선점법과 유한요소법을 사용한 단순지지된 등변사다리꼴 직교이방성판의 좌굴해석)

  • 이병권;채수하;윤순종
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.13-16
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    • 2001
  • This paper presents the results of an elastic buckling analysis of isosceles trapezoidal orthotropic plate. In this study, all edges of plate are assumed to be simply supported and the difference of the applied loads are assumed to be taken out by shear of constant intensity along the sloping sides. For the buckling analysis, collocation method is employed. Finite element analysis is also conducted and the results are compared with theoretical ones.

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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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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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Elastic Buckling Strength of Orthotropic Plate under Combined In-Plane Shear and Bending Forces (면내 전단력과 휨을 동시에 받는 직교이방성판의 탄성좌굴강도)

  • 윤순종;박봉현;정상균
    • Composites Research
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    • v.12 no.2
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    • pp.46-52
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    • 1999
  • In this paper result of an analytical investigation pertaining to the elastic buckling behavior of orthotropic plate under combined in-plane shear and bending forces is presented. The existing analytical solution developed for the isotropic plates is extended so that the orthotropic material properties can be taken into account in the buckling analysis of web plate. For the solution of the problems Rayleigh-Ritz method is employed. Graphical form of results for finding the elastic buckling strength of orthotropic plate under combined in-plane shear and bending forces is presented. Brief discussion on the design criteria for the shear and bending interaction is also presented.

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Vibration Analysis of Special Orthotropic Plate with Non-uniform Cross-Section and with Arbitrary Boundary Condition (변단면과 경계조건에 따른 특별직교이방성판의 진동해석)

  • 김덕현;원치문;이정호;홍창우
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.563-571
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    • 1999
  • 변단 면과 다양한 경계조건을 갖는 보와 타워구조물의 제1모드에서의 고유진동수를 구하는 정확한 해는 1974년에 Kim에 의해 발표되었다. 최근 이 방법은 복합재료 적층 판을 포함하는 2차원 문제의 제 1모드 진동해석에 확장되었으며, 다양한 경계조건과 불규칙 단면을 갖는 판에 매우 효과적이다. 이 논문에서는 변단 면과 경계조건에 따른 특별직교 이방성 판에 대한, Kim에 의해 개발된 간편한 진동해석 방법의 응용결과가 주어진다. 또한 집중하중들에 대한 영향이 연구되었다.

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Analysis of the Rrigidity and the Vibration of Flat Corrugated Plates (주름판의 강성해석 및 진동해석)

  • Han, B.K.;Chung, K.;Yoo, S.Y.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.11-18
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    • 1991
  • Stiffened plate structure, which is generally used in the various structural design to develope the load carrying capacity, is classified in two groups; one is the plate stiffened with stiffeners, the other is corrugated plate. In the studies on those structures, the studies on the stiffened plates with stiffeners have been much studied with both quantities and qualities according to requirements of the minimum-weight structural design and the development in many industrial fields, especially automobile, ship and aerospace fields, but the studies on the corrugated plates are undeveloped in comparison with the stiffened plates, and also the analytical stiffness on the corrugated plates remains as the imperfect. In the present studies, the analytical method on the stiffness of corrugated plates made by folding is proposed, and the stiffness equation of corrugated plates with some angle is derived and generalized. The purpose of the present study is to contribute to the design of corrugated plates and to determine the optimum aspect ratio for parameters that decide the aspect of corrugated plates.

Size Effects in the Failure of Specially Orthotropic Sandwich Slab Bridges (치수효과를 고려한 특별직교이방성 샌드위치 슬래브교량의 파괴강도해석)

  • Han, Bong Koo;Lee, Yong Ho
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.333-344
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    • 2004
  • In civil engineering applications, the establishment of standards and procedures for analysis, design, fabrication, construction, and quality control are essential in facilitating the economic and efficient use of composite materials. Many bridge systems, including girders. cross beams, and concrete decks, function as specially orthotropic plates. in general, the analytical solution for such complex systems is very difficult to achieve. Thus, the finite difference method is used for the analysis of the problem. The rate of tensile strength reduction due to increased size is considered. Strength reduction is necessary to ensure the safe design of building structures. This paper suggests the use of a strength-failure analysis procedure using the reduced tensile strength. A numerical study is conducted for different cases. The Tasi-Wu failure criterion for stress space is also used.