复合荷载作用下双轴对称工字形悬臂梁的弯扭屈曲分析  

Flexural-Torsional Buckling Analysis for Double Symmetrical I-shaped Cantilever Beam under Combined Load

作　　者：张文福 孙陈[1] 赵文艳 黄斌 严威 Zhang Wenfu;Sun Chen;Zhao Wenyan

机构地区：[1]安徽建筑大学,安徽合肥230601 [2]南京工程学院,江苏南京211167

出　　处：《江苏建材》2021年第2期37-41,58,共6页Jiangsu Building Materials

基　　金：钢管混凝土翼缘工字形梁弯扭屈曲和畸变屈曲理论与设计方法研究(51578120);方钢管混凝土框架柱低周疲劳性能的试验与理论研究(51178087)。

摘　　要：基于能量变分法,推导了均布荷载和端部作用集中荷载下的双轴对称工字形截面悬臂钢梁的弯扭屈曲总势能方程,其中截面弯扭屈曲变形的位移和转角分别选用一项和无穷项傅里叶级数来表达模态试函数。根据最小势能原理无量纲化后,获得复合荷载作用下悬臂钢梁无量纲的临界荷载的解析解;通过无穷级数形式解答的无量纲临界弯矩的解析解进行收敛性分析,可得到精确解。应用ANSYS有限元分析软件进行数值模拟,对理论解进行数值对比。结果表明,复合荷载作用下悬臂钢梁的临界弯矩计算公式精度较高。Based on the energy variation method,the total potential energy equations of flexural-torsional buckling for double symmetrical I-shaped cantilevered steel beams subjected to uniformly distributed load and concentrated load at end is derived.And the displacement and torsion angle mode function of the flexural-torsional deformation are selected as one-term and infinite-term Fourier series.According to the principle of the minimum potential energy standing and the introduction of related dimensionless parameters,the analytical solution of the dimensionless critical bending moment of flexural-torsional buckling under combined loading is obtained.The exact solution can be obtained by converging the analytical solution of the dimensionless critical bending moment of the infinite series of solutions.The finite element software ANSYS was used to numerically simulation,which verified the theoretical solution of this article.The solution show that the given dimensionless critical moment formula is of high accuracy.

关 键 词：弯扭屈曲 悬臂钢梁 复合荷载 能量变分法 有限元法 

分 类 号：TU312.1[建筑科学—结构工程]