预应力三角形管翼缘工字形钢梁组合扭转理论研究  

An In-depth Exploration of the Torsional Theory Pertaining to Composite I-Beams Featuring Prestressed Triangular Tubular Flanges

作　　者：刘雨艳 张文福[2,3] 周季虎 LIU Yuyan;ZHANG Wenfu;ZHOU Jihu(Engineering Construction Management Office of Logistics Department of Military Aerospace Forces,Beijing 100094;School of Civil Engineering and Architecture,Nanjing Institute of Technology,Nanjing 211167,China;College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China)

机构地区：[1]军事航天部队后勤部工程代建管理办公室,北京100094 [2]南京工程学院建筑工程学院,江苏南京211167 [3]苏州科技大学土木工程学院,江苏苏州215011

出　　处：《南京工程学院学报(自然科学版)》2024年第4期31-37,共7页Journal of Nanjing Institute of Technology(Natural Science Edition)

基　　金：国家自然科学基金面上项目(51578120,51178087);国家自然科学基金项目(52178143)。

摘　　要：预应力三角形管翼缘工字形钢梁最主要的两个参数是自由扭转刚度和约束扭转刚度,目前尚未见到相关的研究报道.文章基于板-梁理论对预应力双轴对称三角形管翼缘工字形钢梁的组合扭转理论进行推导,并根据微分方程推导简支梁的扭转角公式,求解最大扭转角.选取12个不同截面尺寸和预应力大小的三角形管翼缘工字形钢梁为研究对象,利用有限元软件ANSYS建立相应的有限元模型,通过后处理命令查看对应边界条件的最大扭转角.验证结果表明:基于板-梁理论推导得出的理论解与有限元解吻合较好,最大误差绝对值在5%以内.The two principal parameters characterising the prestressed triangular tube flanged I-beam were the free torsional stiffness and the constrained torsional stiffness.Currently,there was a lack of relevant research reports addressing this topic.This paper presented the derivation of a combined torsion theory for prestressed doubly symmetric triangular tube flanged I-beams based on plate beam theory.Moreover,it derived the expression for the angle of twist in simply supported beams from differential equations to ascertain the maximum angle of twist.A comprehensive selection of 12 different cross-sectional dimensions and varying levels of prestress was meticulously selected as research subjects for the investigation into triangular tube flanged I-beams.The finite element models corresponding to these beams were developed utilizing ANSYS software,and post processing commands were employed to scrutinize the maximum angle of twist under specific boundary conditions.The validation results revealed that a remarkable concordance between the theoretical solutions derived from plate-beam theory and those obtained through finite element analysis,with an absolute maximum error within 5%.

关 键 词：预应力 三角形管翼缘 工字形梁 组合扭转 板-梁理论 

分 类 号：TU391[建筑科学—结构工程]