基于地震记录和SSI方法的高土石坝模态识别

王茂华; 迟世春; 周雄雄

doi:10.11779/CJGE202107013

基于地震记录和SSI方法的高土石坝模态识别 English Version

王茂华^{1, 2,},
迟世春^{1, 2, ,},
周雄雄³

1.
大连理工大学海岸与近海工程国家重点实验室,辽宁　大连　116024
2.
大连理工大学建设工程学部水利工程学院工程抗震研究所,辽宁　大连　116024
3.
西北农林科技大学水利与建筑工程学院,陕西　杨凌　712100

基金项目:

国家重点研发计划项目 2016YFB0201001

详细信息

作者简介:
王茂华(1994— ),男,博士研究生,主要从事高土石坝数值分析方面的研究工作。E-mail：wmhgryx1@163.com

通讯作者:
迟世春, E-mail：schchi@dlut.edu.cn

中图分类号: TU435
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- 文章访问数: 330
- HTML全文浏览量: 26
- PDF下载量: 104
出版历程
- 收稿日期: 2020-06-01
- 网络出版日期: 2022-12-02
- 刊出日期: 2021-06-30

Modal identification of high earth-rock dams based on seismic records and SSI method

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
Institute of Earthquake Engineering, School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China
3.
College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling 712100, China

摘要

摘要: 采用实测地震记录来识别高土石坝的模态参数是进行大坝动力特性研究的一种可行的方式。根据地震中坝体监测点记录的数据构建协方差驱动的随机子空间模型(stochastic subspace identification, SSI),通过构造多个不同维度的Hankel矩阵来形成稳定图,可以很好地剔除虚假模态,形成较清晰的稳定轴,采用谱系聚类的筛选方法,不仅可以有效地识别坝体的固有频率和阻尼比,而且实现了物理模态参数的自动识别,规避了人为选择引入的误差。通过两个数值算例验证了提出的随机子空间法应用于地震数据分析的有效性和精度,并将其应用于糯扎渡心墙堆石坝的模态参数识别,获得了合理的坝体固有频率和阻尼比,表明该方法可以较好地识别出坝体的模态参数,具有很好的工程应用,可以为高土石坝抗震安全有限元分析提供一定的依据和参考。
- 土石坝 /
- 模态参数 /
- 随机子空间 /
- Hankel矩阵 /
- 稳定图 /
- 谱系聚类
Abstract: Using the measured seismic records to identify the modal parameters of high earth-rock dams is a feasible way to study the dynamic characteristics of dams. Constructing the covariance-driven stochastic subspace identification (SSI) based on the data recorded at the monitoring points of a dam during the earthquake and the stable graph by establishing multiple Hankel matrices with different dimensions can effectively eliminate false modes. The hierarchical clustering can effectively identify the natural frequency and damping ratio of the dam, and realize the automatic identification of physical modal parameters, avoiding the errors introduced by human selection. The effectiveness and accuracy of the proposed SSI method for seismic data analysis are verified by numerical examples. It is applied to the identification of modal parameters of Nuozhadu core-wall rockfill dam, and the reasonable frequency and damping ratio are obtained, indicating that the method can identify the modal parameters of the dam well and has a good engineering application, and it can provide a certain basis and reference for the finite element analysis of seismic safety of high earth-rock dams.
- earth-rock dam /
- modal parameter /
- stochastic subspace identification /
- Hankel matrix /
- stabilization diagram /
- hierarchical clustering

HTML全文

图 1 双自由度系统模型

Figure 1. Two degrees of freedom system model

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图 2 EI Centro地震波

Figure 2. EI Centro seismic waves

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图 3 原始稳定图(i=60)

Figure 3. Original stable graph

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图 4 剔除虚假极模态后稳定图

Figure 4. Stable graph after removing false polar modes

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图 5 频率–阻尼比簇分析图

Figure 5. Cluster analysis chart of frequency-damping ratio

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图 6 堆石坝网格图

Figure 6. FEM mesh of rockfill dam

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图 7 原始稳定图(i=100)

Figure 7. Original stable graph (i=100)

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图 8 剔除虚假极模态后稳定图

Figure 8. Stable graph after removing false polar modes

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图 9 频率–阻尼比簇分析图

Figure 9. Cluster analysis chart of frequency-damping ratio

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图 10 坝体典型断面及强震仪布置图

Figure 10. Typical cross-section with material zones in Nuozhadu core-wall rockfill dam

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图 11 坝体T2、T6、T7、T8测站的顺河向加速度记录

Figure 11. Downstream acceleration records of dam body at monitoring points T2, T6, T7 and T8

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图 12 糯扎渡大坝原始稳定图

Figure 12. Original stable graph of Nuozhadu dam

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图 13 糯扎渡大坝剔除虚假极模态后稳定

Figure 13. Stable graph after removing false polar modes

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图 14 糯扎渡频率–阻尼比簇分析图

Figure 14. Cluster analysis chart of frequency-damping ratio

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图 15 糯扎渡大坝三维有限元模型

Figure 15. 3D FEM of Nuozhadu dam

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表 1 双自由度模态参数识别结果

Table 1 Identified model parameters of two degrees of freedom system model

振型	频率/Hz		阻尼比
振型	理论值	计算值	理论值	计算值
1阶	4.653	4.614	0.107	0.105
2阶	12.458	12.856	0.234	0.246

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表 2 均质堆石坝模态参数识别结果

Table 2 Identified model parameters of homogeneous rockfill dam

振型	频率/Hz		阻尼比
振型	计算值	FEM	计算值	FEM
1阶	1.11	1.09	0.023	0.020
2阶	1.75	1.76	0.016	0.020
3阶	1.93	1.96	0.022	0.020
4阶	2.20	2.24	0.015	0.020

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表 3 糯扎渡大坝模态参数识别结果

Table 3 Identified model parameters of Nuozhadu dam

振型	频率/Hz			阻尼比
振型	计算值	FEM1	FEM2	计算值	FEM
1阶	1.15	1.10	1.22	0.051	0.04
2阶	1.35	1.27	1.42	0.034	0.04
3阶	1.83	1.54	1.73	0.027	0.04
4阶	2.37	1.74	1.96	0.043	0.04
注：FEM1为相互作用有限元模型,FEM2为刚性边界模型。

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