三角形管翼缘工字形梁扭转振动推导及有限元验证  

The torsional vibration derivation and its finite element verification of I-beam with triangular tube flange

作　　者：张文福 杨琴[1] 江杨 ZHANG Wenfu;YANG Qin;JIANG Yang(College of Civil Engineering,Anhui Jianzhu University,Hefei 230000,China;College of Architecture Engineering,Nanjing Institute of Technology,Nanjing 211167,China)

机构地区：[1]安徽建筑大学土木工程学院,安徽合肥230000 [2]南京工程学院建筑工程学院,江苏南京211167

出　　处：《武汉轻工大学学报》2023年第4期106-114,共9页Journal of Wuhan Polytechnic 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：为了使三角形管翼缘工字形截面构件在实际工程中被方便计算和使用,基于“板-梁”理论,对纯弯扭作用下的单轴对称三角形管翼缘工字形钢梁进行扭转振动分析,利用能量变分原理,推导出悬臂钢梁扭转角公式和简支端自由扭转振动下的频率公式。运用ANSYS软件建立有限元模型并提取扭转角以及频率解进行对比和验证。结果表明,扭转角的理论解与有限元解误差在0.62%~4.08%之间,扭转振动结果误差在-4.02%~-1.35%之间,从而初步证明了文中理论的正确性。研究成果可为单轴对称三角形管翼缘工字形梁扭转振动的工程设计提供参考。In order to make the triangular flange I-section member convenient to calculate and use in practical engineering,this paper is based on the"plate-beam"theory,the torsional vibration analysis of uniaxial symmetric triangular tube flange I-section steel beam under pure bending torsion is carried out,and the torsional angle formula of cantilever steel beam and the frequency formula under free torsional vibration of simple branch end are derived by using the principle of energy variation,and the finite element model is established by ANSYS software and the torsion angle and frequency solution are extracted for comparison and verification.The results show that the error between the theoretical solution and the finite element solution of the torsion angle is between 0.62%~4.08%,and the error of the torsional vibration result is between-4.02%~-1.35%,which preliminarily proves the correctness of the theory in this paper.The research results of this paper can be used as a reference for the engineering design of torsional vibration of uniaxial symmetric triangular tube flange I-beams.

关 键 词：梁 扭转振动 三角形管截面 板-梁理论 有限元 

分 类 号：U441[建筑科学—桥梁与隧道工程]