[1]李 亮,李国强.轴向均布荷载下弯剪型竖向悬臂杆的屈曲临界荷载简化算法[J].西安建筑科技大学学报:自然科学版,2013,45(06):817-821,828.[doi:10.15986/j.1006-7930.2013.06.011]
　LI Liang,LI Guo-qiang.Simplified algorithm of buckling critical load for shear-bending cantilever rounder axially uniformly distributed load[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(06):817-821,828.[doi:10.15986/j.1006-7930.2013.06.011]
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轴向均布荷载下弯剪型竖向悬臂杆的屈曲临界荷载简化算法()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
45
期数:
2013年06期
页码:
817-821,828
栏目:
出版日期:
2013-12-31

文章信息/Info

Title:
Simplified algorithm of buckling critical load for shear-bending cantilever rounder axially uniformly distributed load
文章编号:
1006-7930(2013)06-0817-05
作者:
李 亮1; 李国强2
(1.长安大学建筑工程学院,陕西 西安 710061; 2.同济大学土木工程防灾国家重点实验室,上海 200092)
Author(s):
LI Liang1; LI Guo-qiang2
(1.College of Civil Engineering, Changan University, Xian 710061,China; 2.State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China)
关键词:
竖向悬臂杆; 边界条件; 三角函数; 弯曲分量; 屈曲临界荷载
Keywords:
vertical cantilever bar;  boundary conditions;  trigonometric function;  bending component;  buckling critical load
分类号:
TU 375.4
DOI:
10.15986/j.1006-7930.2013.06.011
文献标志码:
A
摘要:
根据竖向悬臂杆的边界条件、弯曲及剪切屈曲侧移曲线,选取了含有三角函数的表达式来近似表示竖向悬臂杆的弯曲分量和剪切分量,然后利用能量法推导了在轴向均布荷载作用下弯剪型悬臂杆的屈曲临界荷载简化计算公式.通过与有限元计算结果对比,验证了简化算法的可靠性.最后,将本文提出的竖向均布荷载作用下临界荷载计算公式与Timoshenko提出的顶点集中荷载下临界荷载经典理论公式进行对比, 发现本文提出的临界荷载计算公式多了一个无量纲的系数,通过参数分析,研究了该系数对公式计算精度的影响.
Abstract:
According to the boundary conditions, bending and shear buckling displacement curves of vertical cantilever bar, the trigonometric function expressions are selected to approximately express the bending component and shear component of the vertical cantilever rod. Then the energy method is used to deduce the buckling critical load calculation formula of the shear bending cantilever bar under vertical uniform loads, and the reliability of the simplified algorithm is verified by compare with the results of finite element calculation. Finally, the result comparison between the recommended formulas under vertical uniformly distributed load in this paper and the Timoshenko equation under top-concentrated load are conducted, and one dimensionless coefficient are recognized. Then the accuracy of the formula is verified through the parameter analysis

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2013-07-31 修改稿日期:2013-11-25
基金项目:国家自然科学基金资助项目(51208057);中国博士后科学基金第六期特别资助项目(2013T60687)
作者简介:李 亮(1981-),男,讲师,博士,主要从事多高层钢结构及混合结构设计理论及抗震性能方面研究.
更新日期/Last Update: 2015-10-05