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Postbuckling behavior of rectangular stiffened plates considering buckled pattern change

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KSCE Journal of Civil Engineering Aims and scope

Abstract

The postbuckling behavior of rectangular isotropic stiffened plates under inplane compressive load is investigated considering the phenomenon of buckled pattern change in the postbuckling load range. The finite deformation strains in the von Karman sense are incorporated in the geometrical nonlinear postbuckling analysis. The inplane and out-of-plane displacements are assumed as truncated Fourier series. The principle of minimum potential energy is applied. The total potential energy includes the strain energy due to bending and membrane action of plate, torsion of stiffeners, and the work done by external compressive force. The plates are assumed to be simply supported along the loaded sides and elastically restrained against rotation by longitudinal stiffeners along the unloaded sides. In numerical examples, the postbuckling load end-shortening curves and effective width curves are presented for the rectangular stiffened plates with various aspect ratios, torsional rigidities of stiffeners and inplane boundary conditions along unloaded sides.

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References

  1. Von Karman, Th., Sechler, E.E. and Donnell, L.H., (1932). “The Strength of Thin Plates in Compression,”Trans. ASME, Vol. 54, No. 2, pp. 53–57.

    Google Scholar 

  2. “AISI-Light Gauge Cold-Formed Steel Design Manual,” (1962). American Iron and Steel Institute, New York.

  3. Winter, G., (1947). “Strength of Thin Steel Compression Flanges,”Trans. ASCE, Vol. 112, p. 527.

    Google Scholar 

  4. Abdel-Sayed, G., (1969). “Effective Width of Thin Plates in Compression,”J. Structural Division, ASCE, pp. 2183–2203.

  5. Bedair, O. K. and Sherbourne, A. N., (1993). “Plate-Stiffener Assemblies in Uniform Compression. Part I: Buckling,”J. Eng. Mech., ASCE, Vol. 119, pp, 1937–1955.

    Article  Google Scholar 

  6. Sherbourne, A. N. and Bedair, O. K., (1993). “Plate-Stiffener Assemblies in Uniform Compression. Part II: Postbuckling,”J. Eng. Mech., ASCE, Vol. 119, pp. 1956–1972.

    Article  Google Scholar 

  7. Bedair, O. K. and Sherbourne, A. N., (1995). “Unified Approach to Local Stability of Plate/Stiffener Assemblies,”J. Eng. Mech., ASCE, Vol. 121, pp. 214–229.

    Article  Google Scholar 

  8. Horne, M. R. and Narayanan, R., (1977). “Design of Axially Loaded Stiffened Plates,”J. Struc. Div., ASCE, Vol. 103, pp. 2243–2257.

    Google Scholar 

  9. Stein, M. (1959). “Loads and Deformations of Buckled Rectangular Plates,”NASA TR R-40.

  10. Dinardo, M.T., (1986). “Buckling and Postbuckling Behavior of Laminated Composite Plates with Ply Dropoffs,”TELAC Rept. 86-13, MIT.

  11. Jensen, D. W. and Legace, P. A., (1988). “Influence of Me- chanical Couplings on the Buckling and Postbuckling of Anisotropic Plates,”AIAA J., Vol. 26, pp. 1269–1277.

    MATH  Google Scholar 

  12. Minguet, P.J., Dugundi, J. and Legace, P.A., (1989). “Postbuckling Behavior of Laminated Plates Using a Direct Energy-Minimization Technique,”AIAA J., Vol. 27, pp. 1785–1792.

    Article  MATH  MathSciNet  Google Scholar 

  13. Stein, M., (1983). “Postbuckling of Orthotropic Composite Plates Loaded in Compression,”AIAA J., Vol. 21, pp. 1729–1735.

    MATH  Google Scholar 

  14. Chandra, R. and Raju, B.B., (1973). “Postbuckling Analysis of Rectangular Orthotropic Plates,”Int. J. Mech. Sci., Vol. 15, pp. 81–97.

    Article  Google Scholar 

  15. Rushton, K.R., (1970). “Postbuckling of Rectangular Plates with Various Boundary Conditions,”Aeronautical Quarterly, Vol. 21, pp. 163–181.

    Google Scholar 

  16. Shin, D.K., Griffin, O.H., Jr. and Gurdal, Z., (1993). “Postbuckling Response of Laminated Plates Under Uniaxial Compression,”Int. J. Non-linear Mechanics, Vol. 28, No. 1, pp. 95–115.

    Article  MATH  Google Scholar 

  17. ABAQUS/Standard User's Manual, (1996). Vol. 1–3, Version 5.6, Hibbitt, Karlsson & Sorensen, Inc.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Myongji University, Seoul, Korea

    Dong Ku Shin (Associate Professor)

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  1. Dong Ku Shin
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The manuscript for this paper was submitted for review on May 6, 1999.

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Shin, D.K. Postbuckling behavior of rectangular stiffened plates considering buckled pattern change. KSCE J Civ Eng 3, 319–330 (1999). https://doi.org/10.1007/BF02830471

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