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Journal of ZheJiang University (Engineering Science)  2020, Vol. 54 Issue (1): 102-109    DOI: 10.3785/j.issn.1008-973X.2020.01.012
Civil Engineering, Transportation Engineering     
Tests on resonance and vibration mitigation responses of high-rise building under machine excitations
Pei LIU1,2(),Hai-xin ZHU1,Wei-guo YANG1,Nan-qi HUANGFU1
1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
2. Beijing’s Key Laboratory of Structural Wind Engineering and Urban Wind Environment, Beijing Jiaotong University, Beijing 100044, China
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Abstract  

Tests were conducted in a 13-storied residential building where obvious horizontal vibration often occurred. One-third octave spectra and weighted acceleration levels were computed from the measured floor acceleration time histories in order to assess the human comfort levels. Modal parameters of the building were identified by using the frequency domain decomposition method. The inspection of the vibration sources around the building showed that the working frequency of the stone sawing machines in the nearby factories was 1.5 Hz which was the same as the fundamental natural frequency of the building causing resonance responses. Influences of number of working machines on the vibration responses of the building were measured. Results showed that the floor acceleration exceeded the limit when four machines were working in the factory about 200 m away from the building. The measured resonance responses of another building about 500 m away from the factory decreased. Frequency converters were installed on the machines to reduce vibration of the building. Floor accelerations of the building were measured under working frequencies 1.33 Hz and 1.2 Hz of the machines, which were significantly reduced. Results show that excitation intensity, distance between excitation and structure, difference between frequencies of excitation and structure are the key factors influencing structural resonance responses under external excitation of single frequency component.



Key wordsvibration test      resonance      dynamic characteristics      vibration source      vibration mitigation measure     
Received: 14 January 2019      Published: 05 January 2020
CLC:  TU 311  
Cite this article:

Pei LIU,Hai-xin ZHU,Wei-guo YANG,Nan-qi HUANGFU. Tests on resonance and vibration mitigation responses of high-rise building under machine excitations. Journal of ZheJiang University (Engineering Science), 2020, 54(1): 102-109.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2020.01.012     OR     http://www.zjujournals.com/eng/Y2020/V54/I1/102


机械振动引起的高层建筑共振与减振响应实测

对某经常出现明显水平振动的13层住宅楼进行测试. 由楼层加速度时程计算得到1/3倍频程谱和振动计权加速度级,评价各楼层的人体舒适度,利用频域分解法识别得到结构的动力特性. 通过振源排查,鉴定该楼周边采石场锯石机的工作频率1.5 Hz与结构基本自振频率相同而发生共振. 测试机器工作台数对结构响应的影响,发现距结构约200 m的采石场4台机器同时工作会导致结构振动超限. 距该采石场约500 m的另一住宅楼的实测共振响应减小. 对锯石机安装变频器作为减振措施,测试机器以1.33和1.2 Hz工作时结构的响应,减振效果明显. 结果表明,振源强度、振源与结构间距、振源与结构频率接近程度是影响外部单一频率激励引起的结构共振响应是否超限的关键因素.


关键词: 振动测试,  共振,  动力特性,  振源,  减振措施 
Fig.1 Layout of typical floor plan for Building No.2
Fig.2 Measured acceleration time histories on 13th floor
Fig.3 One-third octave spectra of measured data in setup 1
楼层 VLs/dB VLl/dB VLL/dB
13层 82 58 77
12层 81 61 77
11层 80 61 77
9层 72 54 77
7层 69 54 77
Tab.1 Weighted acceleration levels of measured floors
Fig.4 PSD spectra of measured data in setup 2 in unit 3
测点 1阶 2阶 3阶
f/Hz ζ/% f/Hz ζ/% f/Hz ζ/%
三单元第1组 1.50 0.07 1.73 1.62 1.90 3.59
三单元第2组 1.50 0.97 1.70 3.51 1.90 2.63
三单元第3组 1.52 0.05 1.72 1.79 1.92 0.98
二单元第1组 1.50 0.08 1.73 1.01 1.91 2.59
二单元第2组 1.51 0.37 1.72 0.97 1.91 2.09
一单元第1组 1.50 0.47 1.82 2.30 1.97 2.52
一单元第2组 1.50 0.09 1.82 1.34 1.98 0.67
Tab.2 Identified natural frequencies,damping ratios and mode shapes
Fig.5 Measurement locations on ground and corresponding PSD spectra
Fig.6 Vibration source-sawing machine
持时 nA nB RMSa/(10?3 m·s?2 VL/dB
0~1 020 s 4 3 11.1 75
1 020~1 800 s 3 3 9.3 73
1 800~3 000 s 0 3 1.5 57
3 000~4 500 s 0 0 1.3 56
4 500~5 400 s 2 0 1.9 59
5 400~6 000 s 4 0 8.0 72
6 000~7 200 s 3 3 8.5 73
7 200~8 100 s 1 3 2.1 60
Tab.3 Test plan and RMS accelerations and weighted acceleration levels for all time intervals
Fig.7 Acceleration time history in transverse direction of 13th floor with varying working machine numbers
Fig.8 Ground acceleration time histories of factories of A and B in structural transverse direction with different numbers of working machines
Fig.9 Power spectral density curves of all measuring points when there were no machines working
阶数 f/Hz ζ/% 振型
1阶 1.52 1.24 短轴向1阶弯曲
2阶 1.70 0.89 长轴向1阶弯曲
3阶 1.90 0.75 1阶整体扭转短轴向分量
4阶 4.67 0.95 1阶相向扭转
5阶 5.68 2.49 长轴向2阶弯曲
6阶 6.89 3.98 短轴向2阶弯曲
Tab.4 Identified modal parameters of Building No.2
Fig.10 Mode shapes obtained from model parameter identification
Fig.11 Vibration mitigation measure-frequency converter
Fig.12 Acceleration time histories on 13th floor at three vibration frequencies of sawing machines
fm/Hz PGA/(m·s?2 VL/dB RMSamax/(m·s?2
1.50 0.019 9 78 8.0×10-3
1.33 0.003 9 56 5.8×10-4
1.20 0.001 5 49 2.2×10-4
Tab.5 Comparison of structural responses at three vibration frequencies of sawing machines
Fig.13 PSD spectra on 13th floor at three vibration frequencies of sawing machines
Fig.14 PSD spectra of all measuring points in Building No.5
模态阶数 f/Hz ζ/% 振型
1阶 1.46 1.60 短轴向1阶弯曲
2阶 1.88 0.21 长轴向1阶弯曲耦合一定的扭转
3阶 2.37 0.50 1阶扭转
Tab.6 Identified modes of Building No.5
[1]   LEE S H, LEE K K, WOO S S, et al Global vertical mode vibrations due to human group rhythmic movement in a 39 story building structure[J]. Engineering Structures, 2013, 57 (12): 296- 305
[2]   LEE K K, LEE S H, KIMB G C, et al Global vertical resonance phenomenon between steel building and human rhythmic excitations[J]. Journal of Constructional Steel Research, 2014, 92 (1): 164- 174
[3]   NGUYEN T H, SAIDI I, GAD E F, et al Performance of distributed multiple viscoelastic tuned mass dampers for floor vibration applications[J]. Advances in Structural Engineering, 2012, 15 (3): 547- 562
doi: 10.1260/1369-4332.15.3.547
[4]   伏焕昌 内部干扰引起某宿舍楼共振分析[J]. 工程抗震与加固改造, 2009, 31 (2): 76- 78
FU Huan-chang Analysis of resonance of a building caused by internal disturbance[J]. Earthquake Resistant Engineering and Retrofitting, 2009, 31 (2): 76- 78
doi: 10.3969/j.issn.1002-8412.2009.02.014
[5]   沈超, 李大华, 刘亿, 等 临涣选煤厂煤炭筛分厂房振动检测与分析[J]. 选煤技术, 2015, 10 (5): 24- 27
SHEN Chao, LI Da-hua, LIU Yi, et al Vibration detection and analysis of coal screening plant in Linhua coal preparation plant[J]. Coal Preparation Technology, 2015, 10 (5): 24- 27
[6]   葛家琪, 王毅, 张玲, 等 地铁所致成都博物馆振动全过程性能化研究[J]. 建筑结构学报, 2015, 36 (2): 27- 34
GE Jia-qi, WANG Yi, ZHANG Ling, et al Performance-based study on whole process of metro induced vibration of the Chengdu Museum[J]. Journal of Building Structures, 2015, 36 (2): 27- 34
[7]   赵亚军. 厂房不良振动检测分析与处理方法[D]. 西安: 西安建筑科技大学, 2005.
ZHAO Ya-jun. Test and disposal to the harmful vibration of the factory buildings [D]. Xi’an: Xi’an University of Architecture and Technology, 2005.
[8]   宋欢. 地铁所致成都博物馆振动过程阻振研究[D]. 北京: 北京交通大学, 2015.
SONG Huan. Study on vibration-isolation on the propagation process of Chengdu Museum induced by metro [D]. Beijing: Beijing Jiaotong University, 2015.
[9]   CHEN X, DING Y L, LI A Q, et al Investigations on serviceability control of long-span structures under human-induced excitation[J]. Earthquake Engineering and Engineering Vibration, 2012, 11 (1): 57- 71
doi: 10.1007/s11803-012-0098-0
[10]   ZHANG Z Q, GUO T, YANG K, et al Simulation and measurement of human-induced vibrations of the Beijing Olympic watchtower with tuned mass dampers[J]. Journal of Performance of Constructed Facilities ASCE, 2017, 31 (6): 04017095
doi: 10.1061/(ASCE)CF.1943-5509.0001089
[11]   NI Y C, LU X L, LU W S Field dynamic test and Bayesian modal identification of a special structure: the Palms together Dagoba[J]. Structural Control and Health Monitoring, 2016, 23 (5): 838- 856
doi: 10.1002/stc.1816
[12]   NI Y C, LU X L, LU W S Operational modal analysis of a high-rise multi-function building with dampers by a Bayesian approach[J]. Mechanical Systems and Signal Processing, 2017, 86 (3): 286- 307
[13]   ZHANG F L, XIONG H B, SHI W X, et al Structural health monitoring of Shanghai tower during different stages using a Bayesian approach[J]. Structural Control and Health Monitoring, 2016, 23 (11): 1366- 1384
doi: 10.1002/stc.1840
[14]   LIU P, ZHANG F L, LIAN P Y Dynamic characteristics analysis of two adjacent multi-grid composite wall structures with a seismic joint by a Bayesian approach[J]. Journal of Earthquake Engineering, 2016, 20 (8): 1295- 1321
doi: 10.1080/13632469.2016.1138168
[15]   刘佩, 连鹏宇 基于环境振动测试的框架结构主裙楼动力特性分析[J]. 振动与冲击, 2016, 35 (10): 174- 179
LIU Pei, LIAN Peng-yu Dynamic characteristics analysis of a frame structure with the main building and podium based on ambient vibration test data[J]. Journal of Vibration and Shock, 2016, 35 (10): 174- 179
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