考虑杆件初偏心的弦支柱壳结构稳定性分析  

Stability Analysis of Cable-Supported Cylindrical Reticulated Shells Considering Initial Eccentricity of Members

作　　者：姜正荣[1,2] 刘小梁 石开荣 苏昌旺[1] 左志亮 JIANG Zhengrong;LIU Xiaoliang;SHI Kairong;SU Changwang;ZUO Zhiliang(School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China;State Key Laboratory of Subtropical Building and Urban Science,Guangzhou 510640,Guangdong,China)

机构地区：[1]华南理工大学土木与交通学院,广东广州510640 [2]亚热带建筑与城市科学全国重点实验室,广东广州510640

出　　处：《华南理工大学学报(自然科学版)》2025年第4期22-29,共8页Journal of South China University of Technology(Natural Science Edition)

基　　金：广东省自然科学基金项目(2022A1515011115);广东省现代土木工程技术重点实验室项目(2021B1212040003)。

摘　　要：目前对考虑杆件初偏心的空间结构稳定性分析相对较少,为揭示杆件初偏心对弦支柱壳结构稳定承载力的影响规律,该文提出了以端部刚性杆来引入杆件初偏心的模拟方法,给出了刚性杆与初偏心杆件弹性模量的比值关系,在此基础上,采用随机缺陷模态法,依次对理想结构和整体缺陷结构引入杆件初偏心,并进行弹塑性全过程分析,考察杆件初偏心及两种缺陷的同时施加对弦支柱壳结构非线性屈曲性能的影响。结果表明:当刚性杆的弹性模量取初偏心杆件对应数值的100倍以上时,计算结果相差较小,由此取两者弹性模量的比值为100;对理想结构引入杆件初偏心时,弦支柱壳结构的稳定承载力系数降幅不大(最大降幅为8.27%),该结构对杆件初偏心并不十分敏感,兼顾计算工作量,工程实践中可不考虑杆件初偏心的不利影响;对整体缺陷结构引入杆件初偏心时,与理想结构相比,弦支柱壳结构的稳定承载力系数明显降低(降幅最大达27.64%),但其降幅略小于两种缺陷单独引入的降幅之和,整体缺陷和杆件初偏心的同时引入,对该结构的稳定承载力存在一定程度的耦合影响,且前者的影响较为显著。Currently,there is relatively limited research on the stability analysis of spatial structures considering the initial eccentricity of members.To reveal the influence laws of the initial eccentricity of members on the stability bearing capacity of cable-supported cylindrical reticulated shells,this paper proposed a simulation method of introducing the initial eccentricity of members by the end rigid rod and presented the ratio relationship of the elastic modulus between the rigid rod and the initial eccentric rod.Based on this,the random imperfection mode method was used to sequentially introduce the initial eccentricity of members into the perfect structure and the overall imperfect structure.An elasto-plastic process analysis was then conducted to examine the impact of the initial eccentricity of members and the simultaneous application of two types of imperfections on the nonlinear buckling behavior of cable-supported cylindrical reticulated shells.The results show that when the elastic modulus of the rigid rod is taken to be more than 100 times of that of the initial eccentric rod,the calculation results show minor differences.Therefore,the ratio of the elastic modulus between them is taken as 100.The coefficients of stability bearing capacity of cable-supported cylindrical reticulated shells are not remarkably reduced when introducing the initial eccentricity of members into the perfect structure(the maximum reduction is 8.27%),indicating that the structure is not very sensitive to the initial eccentricity of members,thus the adverse effects of the initial eccentricity of members can be ignored in engineering practice by balancing the calculation work.Compared with the perfect structure,the coefficients of stability bearing capacity of cable-supported cylindrical reticulated shells are significantly reduced by 27.64%when introducing the initial eccentricity of members into the overall imperfect structure.However,the reductions are slightly smaller than the sums of reductions when the two kinds of imperfectio

关 键 词：弦支柱壳结构 杆件初偏心 整体缺陷 稳定性分析 

分 类 号：TU394[建筑科学—结构工程]