华南理工大学学报(自然科学版) ›› 2025, Vol. 53 ›› Issue (4): 22-29.doi: 10.12141/j.issn.1000-565X.240092

• 土木建筑工程 • 上一篇    下一篇

考虑杆件初偏心的弦支柱壳结构非线性屈曲分析

姜正荣1,2  刘小梁1  石开荣1,2  苏昌旺1  左志亮1,2   

  1. 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

  • 出版日期:2025-04-25 发布日期:2024-08-23

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

JIANG Zhengrong1,2  LIU Xiaoliang1  SHI Kairong1,2  SU Changwang1  ZUO Zhiliang1,2   

  1. 1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, Guangdong, China;

    2. State Key Laboratory of Subtropical Building and Urban Science, Guangzhou 510640, Guangdong, China

  • Online:2025-04-25 Published:2024-08-23

摘要:

初始几何缺陷是空间结构静力稳定性分析的重要影响因素之一,目前的研究主要集中于整体缺陷(节点安装偏差)和杆件初弯曲,而对杆件初偏心的研究相对不足,且相关工作尚未涉及杆件初偏心对弦支柱壳结构稳定承载力的影响分析。为此,本文提出了以端部刚性杆来引入杆件初偏心的模拟方法,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规律。结果表明:相比于理想结构,仅考虑杆件初偏心时,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;同时考虑整体缺陷和杆件初偏心时,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%),但其降幅略小于两者单独引入的降幅之和,两种缺陷的同时引入对弦支柱壳结构的稳定承载力存在一定程度的耦合影响,且整体缺陷的影响较为显著。

关键词: 弦支柱壳结构, 杆件初偏心, 整体缺陷, 非线性屈曲分析

Abstract:

The initial geometric imperfection is one of the important factors affecting the static stability analysis of spatial structures. The current research mainly focuses on the overall imperfection (nodal installation deviation) and the initial curvature of members, but relatively insufficient on the initial eccentricity of members, and the related work has not been involved in the effect analysis of the initial eccentricity of members on the stability bearing capacity of cable-supported cylindrical reticulated shells. In view of this, a simulation method of introducing the initial eccentricity of members by the end rigid rod was proposed in this paper. On this basis, the random imperfection mode method was applied to introduce the initial eccentricity of members in the perfect structure and the overall imperfection structure in turn, then the elasto-plastic overall process analysis was carried out to investigate the effect laws of the initial eccentricity of members and the two kinds of imperfections imposed simultaneously on the nonlinear buckling behaviors of cable-supported cylindrical reticulated shells. The results show that compared with the perfect structure, the coefficients of stability bearing capacity of cable-supported cylindrical reticulated shells are not remarkably reduced when considering the initial eccentricity of members only, and the maximum reduction reaches 8.27%, thus the structure is not much sensitive to the initial eccentricity of members. When considering the overall imperfection and the initial eccentricity of members simultaneously, the coefficients of stability bearing capacity of cable-supported cylindrical reticulated shells are significantly reduced by 27.64%, but the decreasing ranges are slightly smaller than their sums separately introduced by the two kinds of imperfections. The overall imperfection and the initial eccentricity of members introduced in the meantime have a certain extent coupling effect on the stability bearing capacity of cable-supported cylindrical reticulated shells, and the effect of the former is more significant.

Key words: cable-supported cylindrical reticulated shell, initial eccentricity of member; overall imperfection; nonlinear buckling analysis