Study on Area-Loss Limit of Cable-Strut Structures Considering Different Failure Modes

doi:10.12141/j.issn.1000-565X.220661

Abstract

Abstract:

Corrosion of cable-strut structures during long-term service life will cause cross-sectional area loss of steel members, which will lead to redistribution of internal force and affect safety performance of the structure. This paper established three failure modes including member strength failure mode, cable relaxation failure mode and node deformation failure mode based on the reliability theory and structural limit state, and further obtained reliability limit control inequalities under critical states of different failure modes. Through mechanical derivation, it derived the formula for the members’ internal force variation as well as nodal displacement variation of cable-strut structure due to variation of cross-sectional area. Based on the formula, the influence coefficient matrix in the reliability limit control inequality can be calculated. By introducing the corrosion model of steel and combining it with nonlinear programming, it proposed the method to determine the members’ area-loss limit of cable-strut structure. The numerical example of a Levy cable dome was carried out and the calculated area-loss limits were compared with the current limit in specification. The result shows that the calculated area-loss limit of most members in the cable-strut structure under the strength failure mode and deformation failure mode is higher than the durability specification limit, but the area-loss limit under the relaxation failure model is smaller than the durability limit. If the structure is designed and maintained according to this limit value, the cable relaxation failure may occur. The safety specification limit is strict for steel cable members, but it is the same as durability specification limit for steel bar members. Therefore, the area-loss limit under three failure modes and specification limits should be considered comprehensively and the final limit should be controlled according to the most stringent results.

Key words: cable-strut structure, reliability theory, nonlinear programming, failure mode, area-loss limit

CLC Number:

TU 323

DENG Manyu, YUAN Xingfei, DONG Yongcan. Study on Area-Loss Limit of Cable-Strut Structures Considering Different Failure Modes[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(1): 52-61.

Figures/Tables 9

Fig.1

Fig.2

Table 1

Table 2

Parameters of corrosion model for each member of Levy cable dome"

构件类别	U	n'	$t e$	$ν i *$
压杆	0.06	1.20	3.5	0.48
拉索	0.05	1.25	3.0	0.45

Table 2

Table 3

Fig.3

Fig.4

Fig.5

Fig.6

References 20

1	董石麟．中国空间结构的发展与展望［J］．建筑结构学报，2010，31（6）：38-51．
	DONG Shilin ．Develpoment and expectation of sptial structures in China［J］．Journal of Building Structures，2010，31（6）：38-51.
2	陈务军，杜贵首，任小强．张力索杆结构最小势能分析方法与结构特性研究［J］．计算力学学报，2010，27（6）：1001-1005．
	CHEN Wu-jun， DU Gui-shou， REN Xiao-qiang ．Minimization iteration procedure of potential energy and structural analysis for the tension cable-strut structure［J］．Chinese Journal of Computational Mechanics，2010，27（6）：1001-1005.
3	郭佳民，董石麟，袁行飞，等．索穹顶结构施工模拟分析［J］．浙江大学学报（工学版），2009，43（10）：1892-1896．
	GUO Jia-min， DONG Shi-lin， YUAN Xing-fei，et al ．Simulation analysis of cable dome construction process［J］．Journal of Zhejiang University（Engineering Science），2009，43（10）：1892-1896.
4	FELIU S， MORCILLO M， FELIU S ．The prediction of atmospheric corrosion from meteorological and pollution parameters—I．Annual corrosion［J］．Corrosion Science，1993，34（3）：403-414.
5	胡陶，蔡金标．索结构桥梁事故成因分析［J］．低温建筑技术，2019，41（7）：113-118．
	HU Tao， CAI Jinbiao ．Analysis of causes of cable structure bridge accidents［J］．Low Temperature Architecture Technology，2019，41（7）：113-118.
6	DANIELS H E， JEFFREYS H ．The statistical theory of the strength of bundles of threads．I［J］．Proceedings of the Royal Society of London Series A-Mathematical and Physical Sciences，1945，183（A995）：405-435.
7	STALLINGS J M， FRANK K H ．Stay-cable fatigue behavior［J］．Journal of Structural Engineering-ASCE，1991，117（3）：936-950.
8	LIU H B， CHEN H Y， CHEN Z H ．Residual behaviour of welded hollow spherical joints under corrosion and de-rusting［J］．Journal of Constructional Steel Research，2020，167：105977/1-16.
9	孙华怀，陈惟珍，杨建喜．锈蚀断丝对拉索力学性能影响的数值研究［J］．华南理工大学学报（自然科学版），2018，46（7）：137-144．
	SUN Huahuai， CHEN Weizhen， YANG Jianxi ．A numerical study of the effect of corrosion and breakage of wires on mechanical properties of cable［J］．Journal of South China University of Technology （Natural Science Edition），2018，46（7）：137-144.
10	陈联盟，高伟冯，姜智超，等．基于鲁棒性的索穹顶结构截面优化设计［J］．建筑结构学报，2021，42（7）：104-108．
	CHEN Lianmeng， GAO Weifeng， JIANG Zhichao，et al ．Section optimization design of a cable dome structure based on robustness［J］．Journal of Building Structures，2021，42（7）：104-108.
11	肖南，王海，陈华鹏，等．大气腐蚀下网架结构症状可靠度及寿命预测［J］．浙江大学学报（工学版），2013，47（8）：1373-1378．
	XIAO Nan， WANG Hai， CHEN Hua-peng，et al ．Symptom-based reliability and lifetime prediction for latticed structures under atmospheric corrosion［J］．Journal of Zhejiang University（Engineering Science），2013，47（8）：1373-1378.
12	林元烈，梁宗霞．随机数学引论［M］．北京：清华大学出版社，2003：198-203．
13	张明，金峰．结构可靠度计算［M］．北京：科学出版社，2015：8-20．
14	张其林．建筑索结构设计计算与实例精选［M］．北京：中国建筑工业出版社，2008：56-57．
15	梁彩凤，侯文泰．碳钢、低合金钢16年大气暴露腐蚀研究［J］．中国腐蚀与防护学报，2005，25（1）：2-7．
	LIANG Caifeng， HOU Wentai ．Sixteen-year atmospheric corrosion exposure study of steels［J］．Journal of Chinese Society for Corrosion and Protection，2005，25（1）：2-7.
16	费业泰．误差理论与数据处理［M］．北京：机械工业出版社，2004：9-77．
17	姚恩瑜．数学规划与组合优化［M］．杭州：浙江大学出版社，2001：8-199．
18	NOVÁK L， NOVÁK D ．Estimation of coefficient of variation for structural analysis：the correlation interval approach［J］．Structural Safety，2021，92：102101/1-11.
19	刘闯，刘西拉．基于结构体系可靠性的现有结构安全性等级划分［J］．四川建筑科学研究，1994（2）：29-34.
	LIU Chuang， LIU Xila ．Safety classification of existing structures based on structural system reliability［J］．Sichuan Building Science，1994（2）：29-34.
20	民用建筑可靠性鉴定标准：［S］.

构件组号	直径/mm （壁厚/mm）	截面积/mm²	初始预内力/kN
B1	194（8）	4 675	-1 121.01
B2	168（5）	2 560	-77.85
B3	168（7）	3 541	-304.93
RC1	28	463	476.34
RC2	28	463	443.32
RC3	38	839	736.69
DC1	26	403	325.10
DC2	26	403	105.57
DC3	40	965	504.10
HC1	34	691	334.20
HC2	63	2 340	1 353.61

索标号	T_s_i /kN		T_s_i /kN
RC1	7.25	DC2	7.17
RC2	8.23	DC3	17.10
RC3	14.90	HC1	5.60
DC1	6.31	HC2	39.20

[1]	WANG Jinxiao, LI Sida, CHENG Bin, et al. Experimental Study on Fatigue Behavior of Adhesive & Bolted Hybrid FRP Joints [J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(11): 95-106.
[2]	LING Yuhong, LIAO Haopeng, XU Jinghang, et al. Study on Mechanical Behavior of New Type Middle Joint of CFST Composite Column-Concrete Beam [J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(11): 82-94.
[3]	REN Jibin WANG Cunxian ZHANG Xinyue SUO Tao LI Yulong TANG Zhongbin. Johnson-Cook Constitutive Model and Failure Parameters of 2A97 Al-Li Alloy [J]. Journal of South China University of Technology(Natural Science Edition), 2019, 47(8): 136-144.
[4]	ZHANG Wangxi DENG Xi HE Chao. Static Tensile Behavior of Half Grout Sleeve Splicing of Rebars Under High Temperature [J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(1): 48-55.
[5]	LIANG Qiao YANG Xiao-li CHEN Xiang. Limit Equilibrium Analysis of Round Length in Tunnel Excavation [J]. Journal of South China University of Technology (Natural Science Edition), 2017, 45(5): 113-119,128.
[6]	ZHAO Lian-heng ZUO Shi CHEN Jing-yu WANG Zhi-bin. Reliability Back Analysis of Shear Strength Parameters of Landslide Considering Mutual-Correlation Between Parameters [J]. Journal of South China University of Technology (Natural Science Edition), 2016, 44(6): 121-128.
[7]	HUANG Yuan ZHU Zheng-geng HUANG Deng YI Wei-jian ZHANG Rui. Investigation into Half Grout Sleeve Splicing for Rebars via Static Tensile Test [J]. Journal of South China University of Technology (Natural Science Edition), 2016, 44(2): 26-32.
[8]	Wu Li-li Liu Yan Jiang Yu-peng Zhang Dong-dong. Failure Modes Analysis of Steel Plate-Concrete Composite Slabs Under Transverse Concentrated Load [J]. Journal of South China University of Technology (Natural Science Edition), 2015, 43(7): 68-74,99.
[9]	Xu Hong-feng He Long Zhang Kun. Coordinated Signal Timing Optimization at Closely-Spaced Split Midblock Crosswalks [J]. Journal of South China University of Technology (Natural Science Edition), 2015, 43(12): 106-113.
[10]	Zhang Jia-hua Yang Xiao-li Zhang Biao Xu Jing-shu Yang Zi-han. Stability Analysis of Shallow Bias Tunnels Based on Nonlinear Failure Criterion [J]. Journal of South China University of Technology (Natural Science Edition), 2014, 42(8): 97-103,121.
[11]	Wang Shuang Liu Ming-bo Hu Bo Xie Min. Emergency Voltage Model Predictive Control in Power Systems Containing Wind Farms [J]. Journal of South China University of Technology (Natural Science Edition), 2011, 39(10): 132-138.
[12]	Cheng Bin Sun Hai-tao Xiao Ru-cheng . Calculation and Error Analysis of Configuration of Main Cable for Self-Anchored Suspension Bridge [J]. Journal of South China University of Technology (Natural Science Edition), 2008, 36(6): 17-24.
[13]	Wei Guan-feng Qian Yu Yao Ping-ring. Development of Optimization Algorithm for Synthesizing Multi-Stream Heat Exchanger Network [J]. Journal of South China University of Technology (Natural Science Edition), 2006, 34(8): 6-12.
[14]	Cai Jian Li Guang-xing. Experimental Investigation into Unbonded Post-Tensioned PC Flat Plate-T-Shaped Column Connections [J]. Journal of South China University of Technology (Natural Science Edition), 2006, 34(2): 92-99.
[15]	Sun Ru-i feng Huang Pe-i yan Zheng Xiao-hong. Effect of the Thickness of Carbon Fiber Laminate on the Failure Mode of Strengthened RC Beam [J]. Journal of South China University of Technology(Natural Science Edition), 2004, 32(12): 34-39.