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关于结构弯扭屈曲理论的修正

鄂国康

鄂国康. 关于结构弯扭屈曲理论的修正[J]. 应用数学和力学, 1997, 18(10): 911-920.
引用本文: 鄂国康. 关于结构弯扭屈曲理论的修正[J]. 应用数学和力学, 1997, 18(10): 911-920.
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.

关于结构弯扭屈曲理论的修正

Modification in the Theory on Flexural-Torsional Buckling of Structures

  • 摘要: 本文讨论和指出了目前结构弯扭屈曲理论中所存在的问题.从而得出结论:目前的理论限制了结构的弯担变形过程,使得变形过程受制于线位移与转角位移按一定的先后顺序产生.为解决这一问题,提出了一种描述结构实际弯扭屈曲过程的新思路,从而导出了新的几何关系、建立了新的势能变分方程和新的中性平衡微分方程.实例说明了修正后的理论与原理论的不同.
  • [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.
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出版历程
  • 收稿日期:  1995-08-01
  • 刊出日期:  1997-10-15

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