Composites Research

The Korean Society for Composite Materials (한국복합재료학회)
권호 표지

Approximate Solution for Finding the Buckling Strength of Orthotropic Rectangular Plates

직교이방성판의 좌굴강도를 구하기 위한 근사식의 개발

  • J. H. Jung ;
  • S. J. Yoon ;
  • S. K. You (BBM Korea)
  • Published : 2003.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this study, the analytical investigation of orthotropic rectangular plate is presented. The loaded edges are assumed to be simply supported and the unloaded edges could have elastically restrained boundary conditions including the extreme boundary condition such as simple, fixed, and free. Using the closed-form solutions, the buckling analyses of orthotropic plate with arbitrary boundary conditions are performed. Based on the data obtained by conducting numerical analysis, the simplified form of equation for finding the buckling coefficient of plate with elastically restrained boundary conditions at the unloaded edges is suggested as a function of aspect ratio, elastic restraint. and material properties of the plate. The results of buckling analyses by closed-form solution and simplified form of solution are compared for various orthotropic material properties. It is confirmed that the difference of results is less than 1.5%.

본 연구는 면내 선형분포하중이 작용하는 직교이방성판의 좌굴거동에 관한 것으로서, 하중이 재하된 두 변은 단순지지되어 있으며 하중이 재하되지 않은 두 변은 회전에 대해 탄성구속된 경계조건을 포함하여 다양한 경계조건을 갖는 직교이방성판의 좌굴해석식을 정밀해법을 사용하여 유도하였다. 좌굴해석 수행 결과를 사용하여 하중이 재하되지 않은 두 변이 특정 경계조건인 경우를 포함하여 회전에 대해 탄성구속된 판의 좌굴해석을 위한 근사식을 판의 형상비와 탄성구속 정도를 나타내는 계수 및 재료의 성질의 함수로 제시하였다. 제시된 근사식을 사용할 경우 재료의 성질과 판의 형상비 및 하중이 재하되지 않은 변의 탄성구속정도를 알면 단순계산으로 직교이방성판의 좌굴해석을 수행할 수 있도록 하였다. 여러 가지 직교이방성 재료에 대해 근사식에 의한 해석결과와 정밀해법에 의한 해석결과를 비교한 결과 1.5% 미만의 차를 나타냈었다.

Keywords

References

  1. Composites v.27B Analysis and Design of Pultruded FRP Shapes under Bending Davalos,J.F.;Salim,H.A.;Qiao,P.;Lopez-Anido,R;Barbero,E.J.
  2. Journal of the Aeronautical Quarterly v.4 Correlation Between Some Stability Problems for Orthotropic and Isotropic Plates under Bi-Axial and Uni-Axial Direct Stress Wittrick,W.H.
  3. Anisotropic Plates(2nd printing) Lekhnitskii,S.G.;S.W.Tsai(tr.);T.Cheron(tr.)
  4. The Aeronautical Journal v.82 no.811 The Local Buckling Coefficient for Orthotropic Stuructural Section Lee,D.J.
  5. Technical Note, The Aeronautical Journal, paper No. 642 Some Observations on the Local Instability of Orthotropic Structural Sections Lee,D.J.
  6. Ph.D. Thesis, School of Civil Engineering, Georgia Institute of Technology Local Buckling of Pultruded I-Shape Columns Yoon,S.J.
  7. Master's Thesis, Hongik University A Study on the Analysis of Orthotropic Thin-Walled Short Columns Chae,S.H.
  8. Ph.D. Thesis, School of Civil Engineering, Georgia Institute of Technology On the Analysis of Fiber-Reinforced Polymeric Bridge Components Shih,B.J.
  9. Composite Structures v.4 Instability of Carbon Fibre Reinforced Flanges of ⅠSection Beams and Columns Webber,J.P.;Holt,P.J.;Lee,D.A. https://doi.org/10.1016/0263-8223(85)90012-1
  10. Thin-Walled Structures v.24 Buckling of Orthotropic Plates with Free and Rotationally Restrained Unloaded Edges Bank,L.C.;Yin,J. https://doi.org/10.1016/0263-8231(95)00036-4
  11. Journal of the Korean Society for Composite Materials v.13 no.3 Buckling Behavior of Elastically Restrained Orthotropic Plates Yoon,S.J.;Jeong,S.K.
  12. Proceedings of the Korean Society of Civil Engineers and Civil Expo 2001(CD) v.1 Buckling of Elastically Restrained Orthotropic Plate under In-Plane Linearly Distributed Uniaxial Load Yoon,S.J.;Chae.S.H.;Jung,J.H.;Kwon,S.M.
  13. The Stability of Flat Plates Bulson,P.S.
  14. Journal of the Korean Society of Civil Engineers v.15 no.3 A Study on the Design Criteria Relating to the Local Buckling of Structural Shapes Composed of Orthotropic Thin Plate Elements Yoon,S.J.;Moon,H.D.;Lee,W.B.
  15. Journal of the Korean Society of Civil Engineers v.19 no.1-2 Elastic Restraining Effect of Plate Element for Local Buckling of Orthotropic Compression Members Yoon,S.J.;Chae,S.H.
  16. Extren Fiberglass Structural Shapes Design Manual Strongwell