Dynamic analysis of the suspended cable with horizontal mitigation devices at one end subject to support excitations
ZHANG Peng1, WANG Guowei2, LU Wensheng2, ZHOU Qi1
1.School of Architectural and Surveying & Mapping Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2.State Key Lab of Disaster Reducton in Civil Engineering, Tongji University, Shanghai 200092, China
Abstract：In recent years, cable net façades are often used to provide cover between adjacent structures. However, there is safety hazards that the relative displacements of adjacent structures may cause the damage of cable net façade under earthquake. Therefore, for one-way cable daylighting roofs between adjacent structures, additional horizontal mitigation devices comprising springs and dampers at the end of cables were proposed in this paper to reduce seismic responses of the facades. Specifically, the horizontal damping device is composed of the springs which can reduce the seismic energy input to the suspension cable and the dampers which provides additional damping. In this research, a theoretical model of suspended cable with the mitigation device at one end was established. Furthermore, the frequency and damping formulas were derived to analyze the damping properties of the suspended cable. In addition, the mitigation effect was verified by the dynamic response tests of the suspended cable attached with this additional device attached subjected to supported excitations. The results show that the dynamic feature coefficient b2, stiffness coefficient γk and damping coefficient ν are three dimensionless key parameters to control the vibration properties of suspended cables. In practical engineering, it is recommended that ν be set between 0 and 150 and γk be set from 0 and 1 to provide sufficient additional damping for suspended cables. It must be noted that the dynamic cable force and displacement can be reduced by exceed 30% by reasonably setting the parameters of the damping device. For cables with a small b2 and support excitations away from the cable natural frequencies, only springs are sufficient for mitigation, while for cables with a largeb2 and support excitations close to the cable natural frequencies, the end springs and dampers can significantly reduce responses of suspended cables.
张鹏1，王国威2，卢文胜2，周祺1. 支座激励下端部带水平减震装置悬索的动力分析[J]. 振动与冲击, 2023, 42(24): 298-307.
ZHANG Peng1, WANG Guowei2, LU Wensheng2, ZHOU Qi1. Dynamic analysis of the suspended cable with horizontal mitigation devices at one end subject to support excitations. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(24): 298-307.
[1] 王洪波, 罗忆, 吴丽丽. 北京融科资讯中心C座全玻璃大堂的分析和安装[J]. 建筑结构, 2007, 37(2): 105-107.
Wang Hongbo, Luo Yi, Wu Lili. Analysis and construction of tower C glass pavilion in Beijing Raycom Infotech Park[J]. Building Structures, 2007, 37(2): 105-107(in Chinese)
[2] 李勇, 石永久, 王元清, 等. 北京土城电话局单层索网点式玻璃幕墙抗震设计方法分析[J]. 工程抗震与加固改造, 2009, 31(2): 112-117.
Li Yong, Shi Yongjiu, Wang Yuanqing, et al. Study on seismic design method of single-layer cable net structures for point-supporting glass wall for Beijing Tucheng Telephone Exchange[J]. Building Structures, Engineering Seismic and Reinforcement, 2009, 31(2): 112-117(in Chinese)
[3] 李丽, 范重, 刘学林, 等. 天津国际金融会议酒店超大弧形幕墙结构设计[J]. 建筑结构, 2015, 45(S1): 290-296.
Li Li, Fan Zhong, Liu Xuelin, et al. Design on large curve structure of Tianjin International Financial Conference Hotel[J]. Building Structures, 2015, 45(S1): 290-296(in Chinese)
[4] 曾志攀. 福州东部新城大跨度幕墙索网结构设计[J]. 建筑结构, 2014, 44(21): 67-71.
Zeng Zhipan. Structural design of large-span cable net curtain wall of Eastern New City in Fuzhou[J]. Building Structures, 2014, 44(21): 67-71(in Chinese)
[5] 施刚, 左勇志, 郑敬杰, 等.考虑损伤因素的单层平面索网静力试验研究[J].建筑结构学报, 2010, 31(03):9-17.
Shi Gang, Zuo Yongzhi, Zheng Jingjie, et al. Experimental study on the single-layer plane cable net with the influence of damages[J]. Journal of Building Structures, 2010, 31(03):9-17(in Chinese)
[6] Feng R-Q, Zhang L-L, Wu-Y, et al. Dynamic performance of cable net facades[J]. Journal of Constructional Steel Research, 2009, 65(12): 2217-2227.
[7] 冯若强, 王鑫, 叶继红. 索网玻璃幕墙结构抗震性能研究[J]. 振动工程学报, 2013, 26(4): 477-486.
Feng Ruoqiang, Wang Xin, Ye Jihong, Seismic behavior of cable net facade[J]. Journal of Vibration Engineering, 2013, 26(4): 477-486.
[8] 李明, 王元清, 陶伟, 等. 索端弹簧刚度对索网受力性能的影响分析[J]. 建筑科学, 2015, 31(1): 126-130.
Li Ming, Wang Yuanqing, Tao Wei, et al. Effect of spring stiffness at one end of cable on the force behavior of cable net[J]. Building Science, 2015, 31(1): 126-130(in Chinese)
[9] 李明, 王元清, 陶伟, 等. 单层平面索网玻璃幕墙抗震性能研究进展[J]. 地震工程与工程振动, 2014, 34(S1): 523-528.
Li Ming, Wang Yuanqing, Tao Wei, et al. Research progress on seismic performance of cable net façade[J]. Earthquake Engineering and Engineering Vibration, 2014, 34(S1): 523-528(in Chinese)
[10] 张鹏, 卢文胜, 吕西林. 附加弹簧保护装置的悬索主共振响应分析[J]. 振动工程学报, 2020, 33(3): 550 - 558.
Zhang Peng, Lu Wensheng, Lu Xilin. Primary resonance responses study of suspended cables with supplemental spring-protection devices. Journal of Vibration Engineering, 2020, 33(3): 550 - 558(in Chinese)
[11] 张鹏, 卢文胜, 吕西林. 支座激励下附加弹簧保护装置悬索的非线性动力分析[J]. 振动与冲击, 2020, 39(17): 16 - 23.
Zhang Peng, Lu Wensheng, Lu Xilin. Nonlinear dynamic analysis for suspended cables with additional spring-protection devices under support excitation[J]. Journal of Vibration and Shock, 2020, 39(17): 16 - 23(in Chinese)
[12] Bedon C, Amadio C. Exploratory numerical analysis of two-way straight cable-net facades subjected to air blast loads[J]. Engineering Structures, 2014, 79: 276-289.
[13] Amadio C, Bedon C. Elastoplastic dissipative devices for the mitigation of blast resisting cable-supported glazing facades[J]. Engineering Structures, 2012, 39: 103-115.
[14] dos Santos F A, Cismasiu C, Bedon C . Smart glazed cable facade subjected to a blast loading[J]. Proceedings of the Institution of Civil Engineers-Structures and Buildings, 2016, 169(3): 223-232.
[15] Gong Y. Q., Cao L., Laflamme S., et al. Characterization of a novel variable friction connection for semiactive cladding system[J]. Structural Control & Health Monitoring, 2018, 25(6): e2157.
[16] Gong Y. Q., Cao L., Laflamme S., et al. Motion-based design approach for a novel variable friction cladding connection used in wind hazard mitigation[J]. Engineering Structures, 2019, 181: 397-412.
[17] Khalkhaliha M., Zarfam P., Zarfam R. Vibration Control of Cable Net Faade by Smart Supports[J]. Structural Engineering International, 2021(1):1-7.
[18] Nayfeh A H, Pai P F. Linear and nonlinear structural mechanics [M]. Wiley, 2004.
[19] GB/T 2089 – 2009 普通压缩圆柱压缩弹簧尺寸及参数[S]. 北京: 中国标准出版社, 2009.
GB/T 2089 – 2009 Cylindrical coiled compression spring dimensions and parameters[S]. Beijing: Standards Press of China, 2009(in Chinese)
[20] Yoneda M, Maeda K I. A study on practical estimation method for structural damping of stay cables with dampers.[J]. Proceedings of the Japan Society of Civil Engineers, 1989(410):455-458.
[21] Krenk S. Vibrations of a taut cable with an external damper[J]. Journal of Applied Mechanics, 2000, 67(4):772.
[22] JGJ 257-2012 索结构技术规程[S]. 北京: 中国建筑工业出版社, 2012.
JGJ 257-2012 Technical specification for cable structures. Beijing: China Architecture & Building Press; 2012(in Chinese)
