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Article

Predicting Dam Flood Discharge Induced Ground Vibration with Modified Frequency Response Function

1
State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
2
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China
3
School of Water Conservancy and Hydropower, Hebei University of Engineering, Handan 056038, China
4
College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China
*
Author to whom correspondence should be addressed.
Water 2021, 13(2), 144; https://doi.org/10.3390/w13020144
Received: 2 December 2020 / Revised: 6 January 2021 / Accepted: 7 January 2021 / Published: 10 January 2021
(This article belongs to the Special Issue Measurements and Instrumentation in Hydraulic Engineering)
Ground vibrations induced by large flood discharge from a dam can damage surrounding buildings and impact the quality of life of local residents. If ground vibrations could be predicted during flood discharge, the ground vibration intensity could be mitigated by controlling or tuning the discharge conditions by, for example, changing the flow rate, changing the opening method of the orifice, and changing the upstream or downstream water level, thereby effectively preventing damage. This study proposes a prediction method with a modified frequency response function (FRF) and applies it to the in situ measured data of Xiangjiaba Dam. A multiple averaged power spectrum FRF (MP-FRF) is derived by analyzing four major factors when the FRF is used: noise, system nonlinearity, spectral leakages, and signal latency. The effects of the two types of vibration source as input are quantified. The impact of noise on the predicted amplitude is corrected based on the characteristics of the measured signal. The proposed method involves four steps: signal denoising, MP-FRF estimation, vibration prediction, and noise correction. The results show that when the vibration source and ground vibrations are broadband signals and two or more bands with relative high energies, the frequency distribution of ground vibration can be predicted with MP-FRF by filtering both the input and output. The amplitude prediction loss caused by filtering can be corrected by adding a constructed white noise signal to the prediction result. Compared with using the signal at multiple vibration sources after superimposed as input, using the main source as input improves the accuracy of the predicted frequency distribution. The proposed method can predict the dominant frequency and the frequency bands with relative high energies of the ground vibration downstream of Xiangjiaba Dam. The predicted amplitude error is 9.26%. View Full-Text
Keywords: ground vibration; flood discharge; vibration prediction; frequency response function; vibration source ground vibration; flood discharge; vibration prediction; frequency response function; vibration source
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MDPI and ACS Style

Zhang, Y.; Lian, J.; Li, S.; Zhao, Y.; Zhang, G.; Liu, Y. Predicting Dam Flood Discharge Induced Ground Vibration with Modified Frequency Response Function. Water 2021, 13, 144. https://doi.org/10.3390/w13020144

AMA Style

Zhang Y, Lian J, Li S, Zhao Y, Zhang G, Liu Y. Predicting Dam Flood Discharge Induced Ground Vibration with Modified Frequency Response Function. Water. 2021; 13(2):144. https://doi.org/10.3390/w13020144

Chicago/Turabian Style

Zhang, Yan; Lian, Jijian; Li, Songhui; Zhao, Yanbing; Zhang, Guoxin; Liu, Yi. 2021. "Predicting Dam Flood Discharge Induced Ground Vibration with Modified Frequency Response Function" Water 13, no. 2: 144. https://doi.org/10.3390/w13020144

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