变刚度变轴力Timoshenko悬臂柱的弯矩放大系数  

MOMENT AMPLIFICATION FACTORS OF CANTILEVERS WITH VARIABLE AXIAL FORCES AND SECTIONAL RIGIDITIES

作　　者：赵钦[1] 童根树[1] 

机构地区：[1]浙江大学建筑工程学院,杭州310058

出　　处：《工程力学》2011年第11期1-6,共6页Engineering Mechanics

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.

关 键 词：稳定性 二阶效应 弯矩放大系数 柱 弯曲 剪切 

分 类 号：TU311[建筑科学—结构工程] TU323.1