摘要
该文由简到繁,分析了等截面到变截面,同时考虑剪切变形和弯曲变形的Timoshenko悬臂柱的弯矩放大系数。通过求解等截面悬臂柱集中力下的基本微分方程,得到弯矩放大系数的表达式。并在此基础上,研究了悬臂柱的轴力、截面的弯曲刚度和剪切刚度均沿高度线性变化的情况。通过研究获得了弯矩放大系数及其沿高度的变化规律,并拟合成与等截面柱具有相似形式的表达式。与ANSYS有限元结果的对比表明,模拟Timoshenko悬臂柱弯矩放大系数的拟合公式均具有良好的精度。
From constant to variable, the moment amplification factors of cantilevers with differentcross-sections were studied in this paper, while both shear and flexural deformations were considered simultaneously. A moment amplification factor formula for the cantilever with a constant cross-section was obtained by solving differential equations. By taking further research on cantilevers with linearly changing axial forces, the bending stiffness and shear stiffness, the variation of the moment amplification factors along the height of the cantilever can be described by the proposed approximate formula. The factors were also calculated by the finite element method, and the comparison shows that the accuracy of the given formula is suitable.
出处
《工程力学》
EI
CSCD
北大核心
2011年第11期1-6,共6页
Engineering Mechanics
关键词
稳定性
二阶效应
弯矩放大系数
柱
弯曲
剪切
stability
second order effect
moment amplification factor
column
bending
shear
作者简介
赵钦（1983-），男，浙江金华人，博士生，从事钢结构稳定研究（Email：zhaoqinl983@163．com）；
童根树（1963-），男，浙江建德人，教授，博士，博导，从事钢结构稳定研究（E-mail：tongs@zju．edu．cn）．
