摘要
基于板—梁理论,建立均布荷载作用下跨中布置侧向扭转支撑的双轴对称工字形简支梁弯扭屈曲的总势能方程,其中侧向位移和转角模态试函数选用6项三角级数形式。引入量纲一的参数,根据势能驻值原理,获得简支梁弯扭屈曲的量纲一的临界弯矩解析解。采用1stOpt优化分析软件,拟合简支梁弯扭屈曲量纲一的临界弯矩计算公式,并与ANSYS有限元解进行对比。结果表明:量纲一的临界弯矩计算公式的理论解与有限元解吻合较好,误差在±5%以内,可为工程设计提供参考。
Based on the plate-beam theory,the total potential energy equation of flexural-torsional buckling of simply supported beam with doubly symmetric sections and lateral torsional bracing at mid-span under uniform loading is established.The modal trial functions of the lateral displacement and torsional angle are expressed by the first six terms of the trigonometric function.By introducing dimensionless parameters and according to the principle of potential energy standing,the analytical solution of the dimensionless critical moment of flexural-torsional buckling of simply supported beam is obtained.The 1stOpt mathematical optimization analysis software was used to regress the dimensionless critical moment of the simply supported beam.The dimensionless formula is used to compare with the ANSYS finite element solution and the results show that the theoretical solution of the dimensionless formula agrees well with the finite element solution and the error is within±5%,which can provide reference for engineering design.
作者
张文福
严威
刘迎春
邓云
邓世林
李洋
ZHANG Wenfu;YAN Wei;LIU Yingchun;DENG Yun;DENG Shilin;LI Yang(School of Architecture Engineering,Nanjing Institute of Technology,Nanjing,Jiangsu 211167,China;School of Civil and Architecture Engineering,Northeast Petroleum University,Daqing,Heilongjiang 163318,China)
出处
《东北石油大学学报》
CAS
北大核心
2019年第2期109-118,I0007,I0008,共12页
Journal of Northeast Petroleum University
基金
国家自然科学基金项目(51178087)
国家自然科学基金项目(51578120)
南京工程学院校级科研基金项目(YKJ201617)
关键词
简支梁
弯扭屈曲
板-梁理论
扭转支撑
能量变分法
均布荷载
有限元法
simply supported beam
flexural-torsional buckling
plate-beam theory
torsional bracing
energy variational method
uniform loading
finite element method
作者简介
张文福(1965-),男,博士,博士生导师,教授,主要从事钢结构和组合结构方面的研究。
