关于结构弯扭屈曲理论的修正

鄂国康

关于结构弯扭屈曲理论的修正

鄂国康

澳门大学科技学院, 澳门 3001

计量
- 文章访问数: 2694
- HTML全文浏览量: 155
- PDF下载量: 505
- 被引次数: 0
出版历程
- 收稿日期: 1995-08-01
- 刊出日期: 1997-10-15

Modification in the Theory on Flexural-Torsional Buckling of Structures

E Guokang

FST, University of Macau. P. O. Box 3001, Macau

摘要

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．
- 弯扭屈曲 /
- 几何方程 /
- 转角 /
- 次序
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 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.
- flexural-torsional buckling /
- geometric equation /
- rotations /
- order

HTML全文

参考文献(13)

[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.