E Guokang. Modification in the Theory on Flexural-Torsional Buckling of Structures[J]. Applied Mathematics and Mechanics, 1997, 18(10): 911-920.
Citation: E Guokang. Modification in the Theory on Flexural-Torsional Buckling of Structures[J]. Applied Mathematics and Mechanics, 1997, 18(10): 911-920.

Modification in the Theory on Flexural-Torsional Buckling of Structures

  • Received Date: 1995-08-01
  • Publish Date: 1997-10-15
  • 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 doplacements and rotations by the present theory.A fresh idea is.therefore,proposedfor 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 diffrence between the modified theory and the present accepted theory.
  • loading
  • [1]
    A.G.M.Michell,Elastic stability of long beams under transverse forces,Philosophical Magazinc,48(1899),298-309.
    [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,NewYork(1953),559-609.
    [3]
    S.P.Timoshenko,Theory of Elastic Stability.2nd ed,McGraw-Hill,New York(1961).
    [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).
    [6]
    R.S.Barsoum and R.H.Gallagher.Finite element analysis of torsional and torsionalflexural stability problems,Int.Journal of Numerical Methods in Engineering,2(1970),335-352.
    [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.
    [8]
    N.S.Trahair and J.P.Papangelis,Flexural-torsional buckling of monosymmetric arches,Journal of Structural Engineering,ASCE,113,10(1987).2271-2288.
    [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.
    [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
    [11]
    N.S.Trahair,Flexurul-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.
    [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2469) PDF downloads(501) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return