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

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

Abstract

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

CLC Number:

TU394

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.

Figures/Tables 16

Fig.1

Fig.2

Fig.3

Table 1

Fig.4

Fig.5

Fig.6

Table 2

Fig.7

Table 3

Coefficients of stability bearing capacity under diffe-rent maximum eccentric distances"

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

Table 3

Fig.8

Table 4

Coefficients of stability bearing capacity under diffe-rent rise-span ratios"

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

Table 4

Table 5

Comparison of results introducing initial eccentricity of members under different rise-span ratios"

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

Table 5

Fig.9

Table 6

Coefficients of stability bearing capacity considering two kinds of imperfections simultaneously"

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

Table 6

Fig.10

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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