桥梁风洞试验模态参数识别的随机子空间方法
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摘要
模态参数识别是桥梁风洞试验中的一项重要内容,发展了基于参考点、无需输出协方差估计的识别振动系统模态参数的随机子空间方法,其识别精度和可靠性通过数值算例验证。对状态空间理论中的稳定图作了全面的阐释。根据苏通大桥和苏拉马都大桥主梁三自由度节段模型风洞试验采集到的位移信号,采用随机子空间方法识别了侧弯、竖弯和扭转模态频率和阻尼比,并且与随机搜索方法识别结果进行对比。分析结果表明,随机子空间方法和随机搜索方法识别结果非常吻合,本文发展的随机子空间方法是识别风洞试验桥梁模态参数的一种有效和实用方法。
Identification of modal parameters is animportant content forbridge wind tunnel tests.Without output covariance estimation,a reference-based stochastic subspace technique(SST) for identifying modal parameters of vibration system is developed.The identification precision and reliability can be verified via a numerical example.The stabilization diagram involved in the state space theory is comprehensively expounded.Based on the collected displacement signals of 3-DOF sectional models of the Sutong Bridge and the Suramadu Bridge decks in wind tunnel tests,the lateral bending,vertical bending and torsional frequencies and damping ratios are identified using the SST.The analytical results indicate that they are close to those obtained using stochastic search algorithm(SSA).The developed SST is a kind of valid and practical approach for identifying bridge modal parameters in wind tunnel tests.
Identification of modal parameters is animportant content forbridge wind tunnel tests.Without output covariance estimation,a reference-based stochastic subspace technique(SST) for identifying modal parameters of vibration system is developed.The identification precision and reliability can be verified via a numerical example.The stabilization diagram involved in the state space theory is comprehensively expounded.Based on the collected displacement signals of 3-DOF sectional models of the Sutong Bridge and the Suramadu Bridge decks in wind tunnel tests,the lateral bending,vertical bending and torsional frequencies and damping ratios are identified using the SST.The analytical results indicate that they are close to those obtained using stochastic search algorithm(SSA).The developed SST is a kind of valid and practical approach for identifying bridge modal parameters in wind tunnel tests.
引文
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[2]马如进,陈艾荣,周志勇.均匀流场拉条模型颤振导数识别试验研究[J].空气动力学学报,2006,24(2):147-151(Ma Rujin,Chen Airong,Zhou Zhiyong.Testing study ofdetermination of flutter derivatives by taut strip model insmooth flow[J].Acta Aerodynamica Sinica,2006,24(2):147-151(in Chinese))
[3]刘福强,张令弥.一种改进的特征系统实现算法及在智能结构中的应用[J].振动工程学报,1999,12(3):316-322(Liu Fuqiang,Zhang Lingmi.An improved eigensystemrealization algorithm and its application to modal parameteridentification of intelligent space trusses[J].Journal ofVibration Engineering,1999,12(3):316-322(in Chinese))
[4]刘洋,田石柱.基于随机子空间的结构参数识别及振动台试验验证[J].地震工程与工程振动,2004,24(2):111-117(LiuYang,Tian Shizhu.Parameter identification of structuresbased on stochastic subspace and its validation in shakingtable testing[J].Earthquake Engineering and EngineeringVibration,2004,24(2):111-117(in Chinese))
[5]常军,张启伟,孙利民.随机子空间方法在桥塔模态参数识别中的应用[J].地震工程与工程振动,2006,26(5):183-187(Chang Jun,Zhang Qiwei,Sun Limin.Application ofstochastic subspace identification in modal parameteridentification of bridge towe[r J].Earthquake Engineering andEngineering Vibration,2006,26(5):183-187(in Chinese))
[6]Qin X R,Gu M.Determination of flutter derivatives bycovariance-driven stochastic subspace identificationtechnique[J].Wind and Structures,2004,7(3):173-186
[7]樊可清,倪一清,高赞明.改进随机子空间系统辨识方法及其在桥梁状态监测中的应用[J].中国公路学报,2004,17(4):70-73(Fan Keqing,Ni Yiqing,Gao Zanming.Improved stochastic system identification approach with itsapplication in bridge condition monitoring[J].China Journalof Highway and Transport,2004,17(4):70-73(inChinese))
[8]任伟新.环境振动系统识别方法比较分析[J].福州大学学报(自然科学版),2001,29(6):80-86(Ren Weixin.Comparisonof system identification methods using ambient vibrationmeasurements[J].Journal of Fuzhou University(NaturalScience),2001,29(6):80-86(in Chinese))
[9]Peeters B,Roeck G.Comparison of system identificationmethods using operational data of a bridge test[C]//Proceedings of ISMA 23,noise and vibration engineering.1998:923-930
[10]Peeters B,Roeck G.Reference-based stochastic subspaceidentification for output-only modal analysis[J].MechanicalSystem and Signal Processing,1999,13(6):855-878
[11]许福友.桥梁结构颤振导数识别与颤振分析[D].上海:同济大学,2006(Xu Fuyou.Identification of flutter derivatives andflutter analysis of bridges[D].Shanghai:Tongji University,2006(in chinese))
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