设置惯容系统的非对称大跨悬挂结构风振响应分析

田翀; 谭志强; 卢兴龙; 庞迎波; 覃媛媛; 葛新广

doi:10.21656/1000-0887.450078

设置惯容系统的非对称大跨悬挂结构风振响应分析

doi: 10.21656/1000-0887.450078

1.
中建科工集团有限公司，广东深圳 518000
2.
广西职业师范学院土木建筑工程学院，南宁 530007
3.
柳州工学院土木建筑学院, 广西柳州 545004

基金项目:

国家自然科学基金 51868007

详细信息

作者简介:
田翀(1985—)，男，高级工程师，硕士(E-mail: tianchong1110@163.com)

通讯作者:
庞迎波(1978—)，男，副教授，硕士(通讯作者. E-mail: gxopalo@163.com)

中图分类号: TU317; TU352.1
计量
- 文章访问数: 68
- HTML全文浏览量: 29
- PDF下载量: 14
- 被引次数: 0
出版历程
- 收稿日期: 2024-03-28
- 修回日期: 2025-01-10
- 刊出日期: 2025-03-01

Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers

1.
China Construction Science and Industry Corporation Ltd., Shenzhen, Guangdong 518000, P.R.China
2.
School of Civil Engineering and Architecture, Guangxi Vocational Normal University, Nanning 530007, P.R.China
3.
School of Civil Engineering and Architecture, Liuzhou Institute of Technology, Liuzhou, Guangxi 545004, P.R.China

摘要

摘要: 针对非对称大跨悬挂结构双向随机风振响应显著的问题，提出了一种利用惯容系统来抑制结构振动的策略，并针对减振体系随机风振响应分析方法复杂的现状，提出了一种简明分析法. 首先，建立了顺风向脉动激励下结构水平和竖向耦合振动的动力学方程，借助有限元分析技术获得了大跨度悬挂结构的实模态动力参数，并基于实模态理论重构了减振体系的动力方程. 其次，基于复模态法和虚拟激励法，获得了大跨度悬挂结构的位移、层间位移和惯容系统出力等响应量频域统一解，并基于功率谱的二次式分解法获得了上述响应量0阶、2阶和4阶谱矩和方差简明封闭解. 最后，利用算例验证了所提封闭解的正确性，并基于此研究了惯容系统参数对抑制悬挂结构双向风振动的特征. 研究表明，大跨悬挂结构的悬挂部分水平和竖向振动加速度均显著影响舒适度，工程设计时需要考虑双向振动，设置惯容系统可有效降低双向振动.
- 非对称大跨度悬挂结构 /
- 惯容系统 /
- Davenport风速谱 /
- 功率谱二次式分解法 /
- 封闭解
Abstract: Aimed at the significant problem of bidirectional random wind vibration responses of large-span asymmetric suspension structures, a strategy was proposed to suppress the vibration of large-span suspension structures with series inerter dampers (SIDs) as the energy damping system (EDS). For the complexity of the random wind vibration response analysis method, a concise closed-form solution was presented. Firstly, the dynamic equations for the horizontal and vertical coupled vibrations of the EDS under downwind excitation were established, and the finite element dynamic analysis technology was applied to obtain the real modal dynamic parameters of the large-span suspension structure to reconstruct the dynamic equations for the EDS based on the real modal theory. Secondly, based on the complex mode method and the pseudo-excitation method, the frequency domain unified solutions for the displacements, interlayer displacements and forces of the EDS were obtained. The quadratic decomposition method for the response power spectrum density function was used to obtain concise closed-form solutions for the 0th-, 2nd-, and 4th-order spectral moments and variances of the above responses of the EDS subjected to the Davenport spectrum. Finally, the correctness of the proposed method was verified through a numerical example, and based on this, the characteristics of SIDs in suppressing bidirectional vibrations of suspension structures were studied. The results show that, the horizontal and vertical vibration accelerations of the suspension parts of large-span suspension structures significantly affect vibration serviceability, so that bidirectional vibrations need to be considered in engineering design, and SIDs to reduce the horizontal vibrations can effectively reduce bidirectional vibrations.
- asymmetric large span suspension structure /
- series inerter damper (SID) /
- Davenport spectrum /
- quadratic decomposition method for power spectrum /
- closed-form solution

HTML全文

图 1 设置惯容系统的大跨悬挂结构力学简图

Figure 1. The diagram of the large-span suspension structure with SIDs

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图 2 串联惯容系统构造图

Figure 2. The set-up of the series inerter damper (SID)

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图 3 悬挂结构随机响应的简明封闭解的计算流程图

Figure 3. The calculation flowchart of the concise closed-form solution for the random responses of suspension structures

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图 4 非对称结构计算简图

Figure 4. The structural calculating diagram of the asymmetric suspension structure

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图 5 惯容系统在悬挂结构中的布置图

Figure 5. The layout of ISDs in the suspension structure

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图 6 节点水平方向位移0阶谱矩

Figure 6. 0th-order spectral moments of node displacements in the horizontal direction

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图 7 节点水平方向位移2阶谱矩

Figure 7. 2nd-order spectral moments of node displacements in the horizontal direction

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图 8 节点水平方向位移4阶谱矩

Figure 8. 4th-order spectral moments of node displacements in the horizontal direction

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图 9 节点竖向位移4阶谱矩

Figure 9. 4th-order spectral moments of node displacements in the vertical direction

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图 10 惯容系统出力0阶谱矩

Figure 10. 0th-order spectral moments of the inerter damper's forces

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图 11 惯容系统出力2阶谱矩

Figure 11. 2nd-order spectral moments of the inerter damper's forces

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图 12 结构水平位移方差对比

Figure 12. Comparison of variances of structural horizontal displacements

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图 13 结构竖向位移方差对比

Figure 13. Comparison of structural vertical displacement variances

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图 14 结构水平加速度方差对比

Figure 14. Comparison of structural horizontal acceleration variances

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图 15 结构竖向加速度方差对比

Figure 15. Comparison of structural vertical acceleration variances

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表 1 构件信息表

Table 1. Member Information

№. of elements	material	across section /mm	№. of elements	material	across section /mm
①	C30	box 650×400	⑤	Q390	box 800×800×50
②	Q390	H 700×300×20×40	⑥	Q390	box 1 000×1 000×80
③	Q390	H 1 000×400×30×80	⑦	Q390	box 600×600×20
④	C35	box 1 400×1 400	⑧	Q390	H 600×300×30×90

下载: 导出CSV

参考文献(22)

[1]	肖魁, 贾水钟, 贾君玉, 等. 上海图书馆东馆悬挂结构方案设计与研究[J]. 建筑结构, 2022, 52 (1): 1-6. XIAO Kui, JIA Shuizhong, JIA Junyu, et al. Design and research on suspended structure scheme of Shanghai East Library[J]. Building Structure, 2022, 52 (1): 1-6. (in Chinese)
[2]	朱前坤, 蒲兴龙, 惠晓丽, 等. 基于人群-结构耦合作用甘肃省体育馆悬挂结构振动舒适度评估及控制[J]. 工程力学, 2018, 35 (S1): 46-52. doi: 10.6052/j.issn.1000-4750.2017.06.S003 ZHU Qiankun, PU Xinglong, HUI Xiaoli, et al. Serviceability evaluation and control of suspension structure of Gansu gymnasium based on pedestrian-structure coupled vibration[J]. Engineering Mechanics, 2018, 35 (S1): 46-52. (in Chinese) doi: 10.6052/j.issn.1000-4750.2017.06.S003
[3]	刘郁馨, 吕志涛. 单段悬挂结构随机动力参数优化解[J]. 南京建筑工程学院学报(自然科学版), 2011, 56 (1): 1-8. LIU Yuxin, LÜ Zhitao. Optimal solution of random dynamic action for suspension building structures[J]. Journal of Nanjing Architectural and Civil Engineering Institute (Natural Science Edition), 2011, 56 (1): 1-8. (in Chinese)
[4]	GOODNO B J, GERE J M. Earthquake behavior of suspended-floor buildings[J]. Journal of the Structural Division, 1976, 102 (5): 973-992.
[5]	LIU Y X, LÜ Z T. Seismic performance and storey-based stability of suspended buildings[J]. Advances in Structural Engineering, 2014, 17 (10): 1531-1550. doi: 10.1260/1369-4332.17.10.1531
[6]	CHEN M, LIANG X, YANG Z, et al. Analytical study on the random seismic responses of an asymmetrical suspension structure[J]. Buildings, 2023, 13 (6): 1435. doi: 10.3390/buildings13061435
[7]	TIAN C, YAO W, PAN Y, et al. Dynamic response of asymmetric suspended structure subjected to random wind excitation[J]. The Structural Design of Tall and Special Buildings, 2024, 33 (10): e2106. doi: 10.1002/tal.2106
[8]	KUMAR A, SAHA S K, MATSAGAR V A. Stochastic response analysis of elastic and inelastic systems with uncertain parameters under random impulse loading[J]. Journal of Sound and Vibration, 2019, 461 : 114899. doi: 10.1016/j.jsv.2019.114899
[9]	葛新广, 张梦丹, 龚景海, 等. 频响函数二次正交法在Davenport风速谱下结构系列响应简明封闭解的应用研究[J]. 振动与冲击, 2021, 40 (21): 207-214. GE Xinguang, ZHANG Mengdan, GONG Jinghai, et al. Application of FRF quadratic orthogonal method in getting concise closed form solutions of structural series responses under Davenport wind speed spectrum[J]. Journal of Vibration and Shock, 2021, 40 (21): 207-214. (in Chinese)
[10]	GE X G, GONG J H, ZHAO C J, et al. Structural dynamic responses of building structures with non-viscous dampers under Kanai-Tajimi spectrum excitation[J]. Journal of Sound and Vibration, 2022, 517 : 116556. doi: 10.1016/j.jsv.2021.116556
[11]	李创第, 李宇翔, 杨雪峰, 等. 六参数实用黏弹性阻尼结构基于Davenport风谱风振响应的复模态法[J]. 应用数学和力学, 2023, 44 (3): 248-259. doi: 10.21656/1000-0887.420211 LI Chuangdi, LI Yuxiang, YANG Xuefeng, et al. A complex mode method for wind-induced responses of 6-parameter practical viscoelastic damping energy dissipation structures based on the davenport wind speed spectrum[J]. Applied Mathematics and Mechanics, 2023, 44 (3): 248-259. (in Chinese) doi: 10.21656/1000-0887.420211
[12]	YANG W, DENG E, LEI M, et al. Transient aerodynamic performance of high-speed trains when passing through two windproof facilities under crosswinds: a comparative study[J]. Engineering Structures, 2019, 188 : 729-744. doi: 10.1016/j.engstruct.2019.03.070
[13]	李创第, 王磊石, 邹万杰, 等. 广义Maxwell阻尼器高层结构随机风振响应解析法[J]. 广西大学学报(自然科学版), 2016, 41 (4): 953-963. LI Chuangdi, WANG Leishi, ZOU Wanjie, et al. Analytic method for random wind-induced response of high-rise structure with general Maxwell dampers[J]. Journal of Guangxi University (Natural Science Edition), 2016, 41 (4): 953-963. (in Chinese)
[14]	赵中伟, 张永高. 基于本征-虚拟激励法的大跨钢结构风振响应分析[J]. 空间结构, 2020, 26 (1): 15-23. ZHAO Zhongwei, ZHANG Yonggao. Wind-induced response analysis of complex steel structures based on pod-pseudo excitation method[J]. Spatial Structures, 2020, 26 (1): 15-23. (in Chinese))
[15]	GE X G, LI C D, AZIM I, et al. Structural dynamic responses of linear structures subjected to Kanai-Tajimi excitation[J]. Structures, 2021, 34 : 3958-3967. doi: 10.1016/j.istruc.2021.08.092
[16]	ZHANG R F, ZHAO Z P, PAN C, et al. Damping enhancement principle of inerter system[J]. Structural Control and Health Monitoring, 2020, 27 (5): e2523.
[17]	李创第, 江丽富, 王瑞勃, 等. 单自由度混联Ⅱ型惯容系统随机地震动响应分析[J]. 应用数学和力学, 2023, 44 (3): 260-271. doi: 10.21656/1000-0887.430166 LI Chuangdi, JIANG Lifu, WANG Ruibo, et al. Responses of SDOF structures with SPIS-Ⅱ dampers under random seismic excitation[J]. Applied Mathematics and Mechanics, 2023, 44 (3): 260-271. (in Chinese) doi: 10.21656/1000-0887.430166
[18]	葛新广, 龚景海, 李创第, 等. 功率谱二次正交化法在随机地震动响应的应用[J]. 振动工程学报, 2022, 35 (3): 616-624. GE Xinguang, GONG Jinghai, LI Chuangdi, et al. Application of quadratic orthogonalization method of response power spectrum to random ground motion response[J]. Journal of Vibration Engineering, 2022, 35 (3): 616-624. (in Chinese)
[19]	DAVENPORT A G. Past, present and future of wind engineering[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2002, 90 (12/13/14/15): 1371-1380.
[20]	LIEVENS K, LOMBAERT G, VAN NIMMEN K, et al. Robust vibration serviceability assessment of footbridges subjected to pedestrian excitation: strategy and applications[J]. Engineering Structures, 2018, 171 : 236-246.
[21]	卢宇杰, 程逸建, 程正珲, 等. 悬挂结构组合楼盖人致振动舒适度试验研究[J]. 建筑结构学报, 2020, 41 (S2): 263-269. LU Yujie, CHENG Yijian, CHENG Zhenghui, et al. Experimental study on vibration serviceability of composite floor in a suspended structure[J]. Journal of Building Structures, 2020, 41 (S2): 263-269. (in Chinese)
[22]	高层民用建筑钢结构技术规程: JGJ 99—2015[S]. 北京: 中国建筑工业出版社, 2016. Technical specification for steel structure of tall building: JGJ 99—2015[S]. Beijing: China Architecture & Building Press, 2016. (in Chinese)