基于板-梁理论的上翼缘为圆管工字形简支梁弯扭屈曲理论研究  

Theoretical study on flexural torsional buckling of simply supported I-beam with a circular tube on the top flange based on Plate-Beam Theory

作　　者：张文福 方强[1] 黄斌 赵文艳 刘迎春[3] 曹石[2] ZHANG Wen-fu;FANG Qiang;HUANG Bin;ZHAO Wen-yan;LIU Ying-chun;CAO Shi(Anhui Jianzhu University,Hefei 230601 China;Nanjing institute of Technology,Nanjing 211167 China;Northeast Petroleum University,Daqing 163118 China)

机构地区：[1]安徽建筑大学土木工程学院,安徽合肥230601 [2]南京工程学院建筑工程学院,江苏南京211167 [3]东北石油大学土木建筑工程学院,黑龙江大庆163318

出　　处：《新余学院学报》2022年第1期1-10,共10页Journal of Xinyu University

基　　金：国家自然科学基金面上项目“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);国家自然科学基金面上项目“方钢管混凝土框架柱低周疲劳性能的试验与理论研究”(51178087);国家自然科学基金项目“钢管混凝土桁架拱平面外屈曲的新板-梁理论与设计方法研究”(52178143)。

摘　　要：基于板-梁理论,详细推导了端弯矩作用下圆管翼缘工字形简支梁弯扭屈曲总势能方程,并给出相应的工字形简支梁弯扭屈曲的临界弯矩解析解。通过有限元软件验证表明:基于板-梁理论推导得出的结果与经典理论结果相吻合,而且临界弯矩计算公式得出的理论解与有限元解吻合较好,最大误差在4%以内。Based on the Plate-Beam Theory,the total potential energy equation of flexural torsional buckling of I-shaped simply supported beam with a circular tube on the top flange under end moment is derived in detail,and the analytical solution of critical moment of flexural torsional buckling of simply supported I-beam is obtained.Compared with the classical theory,the finite element software is used to verify that the results derived from the plate beam theory are consistent with the classical theoretical results,and the theoretical solution of the critical moment formula is in good agreement with the finite element solution,and the maximum error is less than 4%.

关 键 词：简支梁 弯扭屈曲 板-梁理论 有限元法 

分 类 号：TU312[建筑科学—结构工程]