均布荷载下矩形钢管混凝土上翼缘工字形梁侧扭屈曲研究  

Lateral-torsional buckling study of concrete-filled rectangular steel tubular top flange I-shaped beams under uniform load

作　　者：刘迎春[1] 胡志峰 计静[1] 张文福[2] 姜良芹[1] LIU Yingchun;HU Zhifeng;JI Jing;ZHANG Wenfu;JIANG Liangqin(Heilongjiang Key Lab of Disaster Prevention Mitigation and Protection Engineering,Northeast Petroleum University,Daqing 163318,China;School of Architecture Engineering,Nanjing Institute of Technology,Nanjing 211167,China)

机构地区：[1]东北石油大学黑龙江省高校防灾减灾工程与防护工程重点实验室,黑龙江大庆163318 [2]南京工程学院建筑工程学院,江苏南京211167

出　　处：《甘肃科学学报》2025年第1期40-46,共7页Journal of Gansu Sciences

基　　金：国家自然科学基金面上项目(52178143)。

摘　　要：为研究均布荷载作用下跨中设置扭转支撑的矩形钢管混凝土上翼缘工字形梁的稳定性能,通过能量变分法,开展弹性侧扭屈曲分析,求解出该类梁弹性侧扭屈曲临界弯矩。采用MATLAB软件编写不同截面尺寸、跨度、支撑刚度下梁的临界弯矩计算程序,获得大量临界弯矩,并使用1stOpt软件对其进行拟合,获得有支撑和无支撑条件下梁的临界弯矩计算公式、支撑刚度达到门槛刚度时梁的临界弯矩计算公式和门槛刚度计算公式。最后使用ANSYS软件验证公式的精度,将分析结果与公式进行对比。研究表明:在支撑刚度达到门槛刚度前,随着支撑刚度增加,临界弯矩随之增大。经有限元验证,回归出的公式较为可靠,与有限元的误差在5%以内,可为工程设计提供参考。To investigate the stability performance of concrete-filled rectangular steel tubular top flange I-shaped beams with torsional bracing in the middle of the span under uniform load,the elastic lateral-torsional buckling analysis is carried out by using the energy variational method,and the critical moments of elastic lateral-torsional buckling are solved for this type of beams.The critical moment calculation program of beams with different section sizes,spans,and bracing stiffness is written by MATLAB software,and a large number of critical moments are obtained.The critical moment calculation formula of beams with bracing and without bracing,the critical moment calculation formula of beams when the bracing stiffness reaches the threshold stiffness,and the threshold stiffness calculation formula are obtained by fitting them with 1stOpt software.Finally,the accuracy of the formulas is verified by ANSYS software,and the analysis results are compared with the formula.The study shows that before the bracing stiffness reaches the threshold stiffness,the critical moment increases with the increase of bracing stiffness.After the finite element verification,the regressed formulas are more reliable,and the error with the finite element is within 5%,which can provide a reference for engineering design.

关 键 词：矩形管翼缘梁 扭转支撑 侧扭屈曲 能量变分法 有限元法 

分 类 号：TU398.9[建筑科学—结构工程]