基于强震观测和ARMAV模型的混凝土坝模态识别

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (8) : 224-230.

论文

程琳 ,2，杨杰1，郑东健2，任杰1

作者信息 +

Modal identification of concrete dams based on strong-motion records and an ARMAV model

CHENG Lin1,2,YANG Jie1,ZHENG Dongjian2,REN Jie1

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文章历史 +

摘要

采用混凝土坝的实测振动响应识别结构模态参数是进行结构动力特性研究的一种可行的方式。本文基于混凝土坝的强震观测数据，提出采用矢量自回归滑动平均模型（auto-regressive moving average vector，ARMAV）和稳态图法来进行混凝土坝结构模态参数识别。文章研究了结构实测振动响应时间序列的ARMAV模型表达形式，并通过引入辅助变量（instrumental variable，IV）技术，来求解模型中的未知系数；通过研究ARMAV模型系数矩阵与结构系统矩阵的关系，以便为结构模态识别提供理论依据；根据综合了各测点观测信息的平均标准化功率谱（average normalized power spectrum density，ANPSD）来对传统的稳态图法进行改进，以实现强震激励下混凝土坝的系统定阶和虚假模态剔除。文章通过一个数值算例和一个工程实例，验证了本文提出的基于强震观测和ARMAV模型的结构模态参数识别方法的精度、有效性和工程适用性。

Abstract

It is a feasible way to study the dynamic properties of concrete hydraulic structures through modal identification using the vibration measurement of structures.In this paper,an auto-regressive moving average vector (ARMAV) model and stabilization diagram method was adopted to perform modal identification using the strong-motion observation of concrete dams.The vibration response time series were expressed by the ARMAV model at first,and the instrumental variable (IV) technique was adopted to improve estimation accuracy of unknown model coefficients.Then the relationship between the ARMAV model coefficient matrix and structural state space matrix was studied to provide theoretical basis for modal identification.The stabilization diagram was improved by the average normalized power spectrum density function,which integrated the modal information of all the measurement channels,to the determine system order and remove spurious modes.A numerical example and a practical engineering application were used to verify the accuracy,effectiveness and applicability of the proposed modal identification method based on strong-motion observation and the ARMAV model.

关键词

强震观测

/ 模态识别 / 矢量自回归滑动平均模型 / 辅助变量 / 平均标准化功率谱

Key words

strong-motion observation / modal identification / auto-regressive moving average vector / instrumental variable / average normalized power spectrum density

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程琳,2，杨杰1，郑东健2，任杰1. 基于强震观测和ARMAV模型的混凝土坝模态识别[J]. 振动与冲击, 2017, 36(8): 224-230

CHENG Lin1,2,YANG Jie1,ZHENG Dongjian2,REN Jie1. Modal identification of concrete dams based on strong-motion records and an ARMAV model[J]. Journal of Vibration and Shock, 2017, 36(8): 224-230

参考文献

[1] 张光斗, 张楚汉, 李未显, 王光纶. 泉水拱坝的振动测量与分析[J]. 中国科学A辑, 1986, 1:100-112.
Zhang Guangdou, Zhang Cuhan, Li Weixian, et al. Vibration measurement and analysis of Quanshui arch dam [J]. Science China, Series A, 1986, 1: 100−112.
[2] 陈厚群. 中国水工结构重要强震数据及分析[M]. 北京: 地震出版社, 2000.
[3] 郭永刚, 苏克忠, 常廷改. 大坝强震监测与震害预警问题的探讨[J]. 大坝与安全, 2006, 2: 7-10.
GUO Yong-gang, SU Ke-zhong,CHANG Ting-gai Discussion on dam strong earthquake monitoring and earthquake damage warning[J]. China Institute of Water Resources and Hydropower Research, 2006, 2: 7-10.
[4] 寇立夯, 金峰, 阳剑, 等. 基于强震记录的二滩拱坝模态参数识别[J]. 水力发电学报, 2009, 28(5): 51-56.
KOU Li-hang, JIN Feng, YANG Jian, et al. Modal parameter identification of Ertan arch dam from strong earthquake records [J]. Journal of Hydroelectric Engineering, 2009, 28(5): 51-56.
[5] 谯雯, 刘国明, 刘枨. 基于强震记录的水口混凝土重力坝模态分析[J]. 地震工程与工程振动, 2014, 34(3): 25-33.
QIAO Wen, LIU Guo-ming, LIU Cheng. Modal parameter identification of Shuikou concrete gravity dam from strong earthquake records [J]. Earthquake Engineering and Engineering Dynamics, 2014, 34(3): 25-33.
[6] 张力飞, 邢国良. 龙羊峡重力拱坝强震分析[J]. 水力发电, 1998, (12): 14-17.
[7] Loh C H, Wu T C. System identification of Fei-Tsui arch dam from forced vibration and seismic response data [J]. Journal of Earthquake Engineering, 2000, 4(4): 511-537.
[8] Darbre G R, De Smet C A M, Kraemer C. Natural frequencies measured from ambient vibration response of the arch dam of Mauvoisin [J]. Earthquake Engineering and Structure Dynamics, 2000, 29(5):577-586.
[9] Proulx J, Paultre P, Rheault J, et al. An experimental investigation of water level effects on the dynamic behavior of a large arch dam [J]. Earthquake Engineering and Structure Dynamics, 2001, 30: 1147-1166.
[10] Rainieri C. Operational modal analysis for seismic protection of structures[D]. University of Naples “FEDERICO II”, 2008.
[11] Cunha Á, Caetano E, Magalhães F, et al. From input-output to output-only modal identification of civil engineering structures[R]. SAMCO Final Report 2006 F11 Selected Papers, pp.1-22.
[12] 练继建, 张建伟, 李火坤, 等. 泄洪激励下高拱坝模态参数识别研究[J]. 振动与冲击, 2007, 26(12):101-105.
LIAN Ji-jian, ZHANG Jian-wei, LI Huo-kun, et al. Study on modal parameter identification of high arch dam under flood discharge excitation [J].Journal of Vibration and Shock, 2007, 26(12):101-105.
[13] Lardies J. Modal parameter identification based on ARMAV and state–space approaches [J]. Arch Appl Mech., 2010, 80: 335–352.
[14] Andersen P. Identification of civil engineering structures using vector ARMA models [D]. Aalborg University, 1997.
[15] 严晓久, 周爱国, 林建平, 等. 基于辅助变量法的系统参数辨识[J]. 机床与液压, 2006, 12: 180–184.
YAN Xiao-Jiu, ZHOU Ai-guo, LIN Jian-ping, et al. Parametric System Identification Based on Instrumental Variable Method [J]. Machine Tool and Hydraulics, 2006, 12:180–184.
[16] 杨叔子, 吴雅, 轩建平. 时间序列分析的工程应用(第2版)下册[M]. 武汉:华中科技大学出版社, 2008.
[17] Soderstrom, Torsten. System identification [M]. Prentice Hall International Series in Systems and Control Engineering, Prentice Hall, 1989.
[18] 常军, 孙利民, 张启伟. 基于两阶段稳态图的随机子空间识别结构模态参数[J]. 地震工程与工程振动, 2008, 28(3): 47-51.
CHANG Jun, SUN Li-min, ZHANG Qi-wei. Study on the method for stochastic subspace identifying structural modal parameters based on two-stage stabilization diagram [J]. Earthquake Engineering and Engineering Dynamics, 2008, 28(3): 47-51.