均布压力作用下变截面Timoshenko悬臂柱的稳定性

沈瑞宏; 童根树

doi:10.13204/j.gyjz201304002

均布压力作用下变截面Timoshenko悬臂柱的稳定性

doi: 10.13204/j.gyjz201304002

沈瑞宏¹,
童根树²

1.
1. 中国联合工程公司,杭州 31 0022;
2.
2. 浙江大学高性能材料与结构研究所,杭州 31 0058

基金项目:

国家十二五支撑计划项目(2012BAJ13B00)

详细信息

作者简介:
第一作者：沈瑞宏, 男, 1979年出生, 高级工程师?电子信箱：shenrh@chinacuc.com

中图分类号: TU311.2
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- 文章访问数: 120
- HTML全文浏览量: 11
- PDF下载量: 79
- 被引次数: 0
出版历程
- 收稿日期: 2013-01-15
- 刊出日期: 2013-04-20

BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES

Shen Ruihong¹,
Tong Genshu²

1.
1. China United Engineering Corporation,Hangzhou 310022,China;
2.
2. Institute of High Performance Material and Structure,Zhejiang University,Hangzhou 310058,China?

摘要

摘要: 对变截面Timoshenko悬臂柱承受均布荷载和柱顶集中荷载的屈曲进行研究，推导适用于变截面构件分析的物理刚度矩阵和几何刚度矩阵，编写程序获得不同参数下悬臂柱弯曲屈曲和剪切屈曲的相关关系曲线，提出的近似计算公式，可在实际应用中作参考，例如用于计算高层结构的二阶效应系数。
- 屈曲 /
- Timoshenko柱 /
- 临界荷载 /
- 变截面柱
Abstract: The paper investigated the buckling of cantilevered Timoshenko columns whose cross-sectional flexural and shear rigidities and axial forces were varied along length.Finite element method was used to carry out buckling analysis.Physical and geometrical stiffness matrices were derived for elements with linearly varied rigidities and axial forces.In presenting the results, buckling of Timoshenko columns was understood as interactive buckling between flexural and shear buckling.and the interactive curves were presented.Approximate formulas for critical loads of cantilevered Timoshenko columns with linearly varied rigidities and linearly varied axial forces along length were presented, which could be used in determining the coefficient of second-order effect.
- buckling /
- Timoshenko column /
- critical load /
- tapered column ?

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参考文献(6)

[2] Zalka K A. Global Structural Analysis of Buildings[M]. London: E FN Spon,2000.

Timoshenko S P, Gere J M. Theory of Elastic Stability[M]. New York: McGraw-Hill,1961.

[3] Hegeds I, Kollar L P. Buckling of Sandwich Columns with Thin Faces Under Distributed Normal Loads[J]. Acta Tech. Acad. Sci Hung,1984,97(4):111-122.

[4] Zalka K A. Buckling of a Cantilever Subjected to Distributed Normal Loads, Taking the Shear Deformation into Account[J]. Acta Tech. Acad Sci Hung,1979,89(4):479-508.

[5] Bakker M C M. Shear-Flexural Buckling of Cantilever Columns Under Uniformly Distributed Load[J]. Journal of Engineering Mechanics, ASCE,2006,132(11):1160-1167.

[6] 童根树.钢结构的平面内稳定[M].北京:中国建筑工业出版社,2005.

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