考虑杆件初偏心的弦支柱壳结构稳定性分析

doi:10.12141/j.issn.1000-565X.240092

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

考虑杆件初偏心的弦支柱壳结构稳定性分析

姜正荣¹^,², 刘小梁¹, 石开荣¹^,², 苏昌旺¹, 左志亮¹^,²

^1.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

收稿日期:2024-03-04 出版日期:2025-04-25 发布日期:2024-08-23
通信作者: 石开荣（1978—），男，博士，副教授，主要从事结构优化、预应力钢结构研究。 E-mail:krshi@scut.edu.cn
作者简介:姜正荣（1971—），男，博士，副教授，主要从事大跨度空间结构研究。E-mail： zhrjiang@scut.edu.cn
基金资助:
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)

Stability 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.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

Received:2024-03-04 Online:2025-04-25 Published:2024-08-23
Contact: 石开荣（1978—），男，博士，副教授，主要从事结构优化、预应力钢结构研究。 E-mail:krshi@scut.edu.cn
About author:姜正荣（1971—），男，博士，副教授，主要从事大跨度空间结构研究。E-mail： zhrjiang@scut.edu.cn
Supported by:
the Natural Science Foundation of Guangdong Province(2022A1515011115)

摘要/Abstract

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。

关键词: 弦支柱壳结构, 杆件初偏心, 整体缺陷, 稳定性分析

Abstract:

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 imperfections are introduced separately. The overall imperfection and the initial eccentricity of members introduced simultaneously have a certain extent coupling effect on the structural stabi-lity bearing capacity, and the effect of the former is more significant.

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

中图分类号:

TU394

姜正荣, 刘小梁, 石开荣, 苏昌旺, 左志亮. 考虑杆件初偏心的弦支柱壳结构稳定性分析[J]. 华南理工大学学报(自然科学版), 2025, 53(4): 22-29.

JIANG Zhengrong, LIU Xiaoliang, SHI Kairong, SU Changwang, ZUO Zhiliang. Stability Analysis of Cable-Supported Cylindrical Reticulated Shells Considering Initial Eccentricity of Members[J]. Journal of South China University of Technology(Natural Science Edition), 2025, 53(4): 22-29.

图/表 16

图1

图2

图3

表1

图4

图5

图6

表2

图7

表3

不同偏心距最大值下的稳定承载力系数"

偏心距最大值/mm	最小值	最大值	$μ$	$σ$	是否满足 χ²检验	$μ - 3 σ$
5	5.404	5.473	5.439 4	0.014 07	是	5.397 2
10	5.380	5.527	5.432 6	0.028 78	是	5.346 3
15	5.330	5.517	5.423 2	0.038 04	是	5.309 1
20	5.297	5.563	5.400 3	0.042 48	是	5.272 8
25	5.254	5.534	5.383 3	0.059 37	是	5.205 2
30	5.211	5.504	5.359 7	0.055 90	是	5.192 0
35	5.185	5.505	5.342 9	0.072 48	是	5.125 4
40	5.162	5.491	5.311 6	0.066 26	是	5.112 8

表3

图8

表4

不同矢跨比下的稳定承载力系数"

矢跨比	最小值	最大值	$μ$	$σ$	是否满足 χ²检验	$μ - 3 σ$
1/14	4.123	4.453	4.286 7	0.072 47	是	4.069 3
1/13	4.367	4.683	4.505 5	0.072 07	是	4.289 3
1/12	4.518	5.004	4.765 0	0.088 24	是	4.500 3
1/11	4.820	5.288	5.055 6	0.094 28	是	4.772 8
1/10	5.162	5.491	5.311 6	0.066 26	是	5.112 8
1/9	5.129	5.486	5.321 0	0.036 25	是	5.108 1
1/8	4.947	5.270	5.113 9	0.077 78	是	4.880 5
1/7	4.562	4.952	4.725 1	0.070 88	是	4.512 4
1/6	3.987	4.220	4.088 3	0.043 26	是	3.958 5

表4

表5

不同矢跨比下引入杆件初偏心的结果对比1）"

矢跨比	$K 0$	$K 1$	$ξ$ /%
1/14	4.436	4.069 3	8.27
1/13	4.657	4.289 3	7.90
1/12	4.903	4.500 3	8.21
1/11	5.202	4.772 8	8.25
1/10	5.476	5.112 8	6.63
1/9	5.460	5.108 1	6.45
1/8	5.272	4.880 5	7.43
1/7	4.889	4.512 4	7.70
1/6	4.241	3.958 5	6.66

表5

图9

表6

同时考虑两种缺陷的稳定承载力系数"

整体缺陷分布模式	偏心距最大值/mm	最小值	最大值	$μ$	$σ$	是否满足χ²检验	$μ - 3 σ$
随机缺陷	5	4.202	4.231	4.213 2	0.004 95	是	4.198 4
	10	4.192	4.239	4.209 8	0.010 00	是	4.179 8
	15	4.177	4.245	4.210 2	0.013 95	是	4.168 4
	20	4.165	4.246	4.202 8	0.019 45	是	4.144 5
	25	4.125	4.248	4.197 6	0.025 71	是	4.120 5
	30	4.108	4.257	4.193 5	0.028 54	是	4.107 9
	35	4.121	4.259	4.190 7	0.029 39	是	4.102 5
	40	4.114	4.273	4.190 2	0.034 65	是	4.086 3
一致缺陷Ⅱ	5	4.084	4.103	4.094 5	0.003 83	是	4.083 0
	10	4.068	4.102	4.088 9	0.006 99	是	4.067 9
	15	4.063	4.111	4.084 8	0.010 49	是	4.053 3
	20	4.048	4.120	4.082 3	0.015 89	是	4.034 6
	25	4.032	4.120	4.079 8	0.019 71	是	4.020 7
	30	4.026	4.122	4.072 7	0.020 01	是	4.012 7
	35	4.010	4.125	4.071 3	0.024 68	是	3.997 3
	40	3.980	4.139	4.058 5	0.031 98	是	3.962 6

表6

图10

参考文献 18

1	SUN G J， CHEN Z H， LONGMAN R W ．Numerical and experimental investigation of the dynamic characteristics of cable-supported barrel vault structures［J］．Journal of Mechanics of Materials and Structures，2013，8（1）：1-13.
2	HE S， JIANG Z R， CAI J ．Investigation on simulation methods of initial geometric imperfection distribution in elasto-plastic stability analysis of single-layer reticulated shells［J］．KSCE Journal of Civil Engineering，2018，22（4）：1193-1202.
3	王皓．考虑初始几何缺陷随机场的单层网壳结构随机稳定性研究［D］．长沙：湖南大学，2021.
4	杨荣．大跨度抽空式弦支柱壳结构的静力稳定性及施工仿真分析［D］．广州：华南理工大学，2020.
5	支旭东，李文亮，范峰，等．初始缺陷模式对单层球面网壳静力稳定性的影响［J］．空间结构，2021，27（1）：9-15.
	ZHI Xu-dong， LI Wen-liang， FAN Feng，et al ．Influence of initial geometric imperfection on static stability of single-layer reticulated shell structure［J］．Spatial Structures，2021，27（1）：9-15.
6	空间网格结构技术规程：［S］．
7	ZHAO Z W， LIU H Q， LIANG B，et al ．Influence of random geometrical imperfection on the stability of single-layer reticulated domes with semi-rigid connection［J］．Advanced Steel Construction，2019，15（1）：93-99.
8	孙一喆．带随机缺陷的K6型铝合金网壳稳定性分析及承载力预测［D］．西安：西安建筑科技大学，2021.
9	DING Y， ZHANG T L ．Research on influence of member initial curvature on stability of single-layer spherical reticulated domes［J］．Advanced Steel Construction，2019，15（1）：9-15.
10	ZHOU Z， WU J， MENG S P ．Influence of member geometric imperfection on geometrically nonlinear buckling and seismic performance of suspen-dome structures［J］．International Journal of Structural Stability & Dynamics，2014，14（3）：1350070/1-20.
11	汤宏伟，钟宏志．考虑杆件初弯曲的网壳弹塑性稳定性的弱形式求积元分析［J］．工程力学，2019，36（1）：165-174.
	TANG Hong-wei， ZHONG Hong-zhi ．Elasto-plastic stability analysis of latticed shells with initially curved members by weak-form quadrature elements［J］．Engineering Mechanics，2019，36（1）：165-174.
12	LIU X C， ZHAN X X， ZHANG A L，et al ．Random imperfection method for stability analysis of a suspended dome［J］．International Journal of Steel Structures，2017，17（1）：91-103.
13	李会军，王超，肖姚．随机节点位置安装偏差与杆件偏心对单层球面网壳承载力的影响研究［J］．建筑结构学报，2020，41（2）：134-141.
	LI Huijun， WANG Chao， XIAO Yao ．Effect of random nodal deviation and member eccentricity on load-carrying capacity of single-layer dome［J］．Journal of Building Structures，2020，41（2）：134-141.
14	李会军，肖姚，张凯宝，等．杆件初弯曲及偏心对单层柱壳稳定承载力的影响研究［J］．空间结构，2019，25（2）：10-19.
	LI Hui-jun， XIAO Yao， ZHANG Kai-bao，et al ．Effect of member initial curvature and eccentricity on load-carrying capacity of sing-layer cylindrical reticulated shell［J］．Spatial Structures，2019，25（2）：10-19.
15	王超．杆件偏心对典型单层球面网壳稳定承载力影响研究［D］．咸阳：西北农林科技大学，2019.
16	沈世钊，陈昕．网壳结构稳定性［M］．北京：科学出版社，1999.
17	刘小梁．弦支柱壳结构的静力稳定性及动力响应研究［D］．广州：华南理工大学，2023.
18	刘红亮．大跨度弦支穹顶结构的缺陷敏感区域及动力稳定性研究［D］．广州：华南理工大学，2015.

结构部位	构件	规格	材质	备注
上部单层柱壳	弦杆1	ϕ351 × 10	Q355B	弹性模量： 206 × 10³ N/mm² 屈服强度： 355 N/mm²
	弦杆2	ϕ299 × 8
	斜杆	ϕ219 × 8
	边杆	ϕ299 × 8
下部索杆体系	撑杆	ϕ299 × 10
下部索杆体系	拉索	ϕ7 × 85	1670级	平行钢丝束弹性模量： 195 × 10³ N/mm² 屈服强度： 1 330 N/mm²

类型	稳定承载力系数
数据样本	5.199	5.300	5.432	5.202	5.321	5.302	5.302	5.320	5.341	5.373
	5.162	5.210	5.291	5.342	5.325	5.345	5.372	5.281	5.317	5.438
	5.352	5.246	5.303	5.323	5.379	5.314	5.317	5.267	5.391	5.270
	5.272	5.400	5.329	5.306	5.341	5.307	5.421	5.280	5.369	5.326
	5.315	5.299	5.358	5.359	5.377	5.352	5.236	5.277	5.435	5.162
	5.333	5.267	5.343	5.374	5.334	5.333	5.423	5.287	5.329	5.307
	5.396	5.233	5.223	5.250	5.342	5.288	5.408	5.376	5.317	5.285
	5.285	5.263	5.233	5.433	5.291	5.321	5.203	5.359	5.345	5.430
	5.289	5.307	5.294	5.396	5.299	5.218	5.251	5.365	5.267	5.255
	5.276	5.205	5.306	5.221	5.153	5.269	5.288	5.311	5.491	5.231
统计结果	最大值为5.491，最小值为5.162，μ = 5.311 6，σ= 0.066 26

[1]	易凯灵, 谢菠荪, 朱俊, 等. 头部平移对局域Ambisonics声重放的影响[J]. 华南理工大学学报（自然科学版）, 2021, 49(4): 65-73.
[2]	李发家朱如鹏靳广虎鲍和云叶福民. 多间隙高重合度齿轮传动系统动力学分岔与稳定性分析 [J]. 华南理工大学学报（自然科学版）, 2015, 43(6): 63-70.

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

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

图/表 16

参考文献 18

相关文章 2

编辑推荐

Metrics

本文评价