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Modification in the theory on flexural-torsional buckling of structures

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Abstract

In this paper, the problems existing in the present theory on flexural-torsional buckling of structures are discussed, and the buckling procedure is found to be restricted to certain development order of displacements and rotations by the present theory. A fresh idea is, therefore, proposed for the mathematical description of actual flexural-torsional buckling procedure of structures. New geometric equations are formulated and a set of new potential variational equation and neutral equilibrium equations are got for the flexural-torsional buckling analysis of structures. Examples are given to detect the numerical difference between the modified theory and the present accepted theory.

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References

  1. A. G. M. Michell, Elastic stability of long beams under transverse forces, Philosophical Magazine, 48 (1899), 298–309.

    Google Scholar 

  2. S. P. Timoshenko, Theory of bending, torsion, and buckling of thin-walled members of open cross-section, in Collected Papers of Stephen, P. Timoshenko, McGraw-Hill, New York (1953), 559–609.

    Google Scholar 

  3. S. P. Timoshenko, Theory of Elastic Stability, 2nd ed., McGraw-Hill, New York (1961).

    Google Scholar 

  4. H. Wagner, Torsion and buckling of open cross-sections, NACA Technical Memorandum 807 (1936).

  5. F. Bleich, Buckling Strength of Metal Structures, McGraw-Hill, New York (1952).

    Google Scholar 

  6. R. S. Barsoum and R. H. Gallagher, Finite element analysis of torsional and torsional-flexural stability problems, Int. Journal of Numerical Methods in Engineering, 2 (1970), 335–352.

    Google Scholar 

  7. Y. B. Yang and S. R. Kuo, Static stability of curved thin-walled beams, Journal of Engineering Mechanics. ASCE, 112, 8 (1986), 821–841.

    Google Scholar 

  8. N. S. Trahair and J. P. Papangelis, Flexural-torsional buckling of monosymmetric arches, Journal of Structural Engineering, ASCE, 113, 10 (1987), 2271–2288.

    Google Scholar 

  9. Y. B. Yang and S. R. Kuo, Use of straight-beam approach to study buckling of curved beams, Journal of Structural Engineering, ASCE, 117, 7 (1991), 1963–1978.

    Google Scholar 

  10. S. R. Kuo and Y. B. Yang, New theory on buckling of curved beams, Journal of Engineering Mechanics, ASCE, 117, 8 (1991), 1698–1717.

    Google Scholar 

  11. N. S. Trahair, Flexural-Torsional Buckling of Structures, CRC Press Inc. (1993).

  12. Y. L. Pi and N. S. Trahair, Nonlinear inelastic analysis of steel beam-columns-theory, Journal of Structrual Engineering, ASCE, 120, 7 (1994), 2041–2061.

    Google Scholar 

  13. Y. L. Pi and N. S. Trahair, Nonlinear in elastic analysis of steel beam-columns applications, Journal of Structural Engineering, ASCE, 120, 7 (1994), 2062–2085.

    Google Scholar 

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Communicated by Dai Shiqiang

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Guokang, E. Modification in the theory on flexural-torsional buckling of structures. Appl Math Mech 18, 975–986 (1997). https://doi.org/10.1007/BF00189289

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  • DOI: https://doi.org/10.1007/BF00189289

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