两种新的基于子空间跟踪的时变模态参数快速辨识算法
|
摘要
该文研究了基于子空间跟踪的时变模态参数快速辨识算法的过程。对更新的输入/输出数据的预处理后,时变模态参数辨识的主要问题转化成子空间跟踪,引入NPI和API子空间跟踪算法替代PAST形成两种新的时变模态参数快速识别算法。通过对移动分布质量-悬臂梁这一典型的时变结构系统以及两自由度弹簧-质量系统的时变模态参数识别验证了新算法的有效性并且比较分析了这3种基于不同子空间跟踪算法的时变模态参数识别算法的辨识能力。
The procedure of fast identification algorithms of the time-varying modal parameter based subspace tracking is investigated in this paper.After the pretreatment to the updating input/output data,the problem of fast time-varying modal parameter identification changes to be a subspace tracking problem principally.Adopting the principal subspace tracking algorithms,the fast time-varying modal parameter identification algorithms can be deduced.Replacing PAST by NPI and API,two new versions of time-varying modal parameter identification algorithms are proposed.The performance of the fast modal parameter identification algorithms based on different principal subspace tracking algorithms are compared by applying them on a classical time-varying mechanical system of a moving distributed mass-cantilever beam and a 2-DOF spring-mass model.
The procedure of fast identification algorithms of the time-varying modal parameter based subspace tracking is investigated in this paper.After the pretreatment to the updating input/output data,the problem of fast time-varying modal parameter identification changes to be a subspace tracking problem principally.Adopting the principal subspace tracking algorithms,the fast time-varying modal parameter identification algorithms can be deduced.Replacing PAST by NPI and API,two new versions of time-varying modal parameter identification algorithms are proposed.The performance of the fast modal parameter identification algorithms based on different principal subspace tracking algorithms are compared by applying them on a classical time-varying mechanical system of a moving distributed mass-cantilever beam and a 2-DOF spring-mass model.
引文
[1]邹经湘,于开平,杨炳渊.时变结构的参数识别方法[J].力学进展,2000,30(3):370―377.Zou Jingxiang,Yu Kaiping,Yang Bingyuan.Methods oftime-varying structural parameter identification[J].Advances in Mechanics,2000,30(3):370―377.(in Chinese)
[2]Liu Kefu.Extension of modal analysis to lineartime-varying system[J].Journal of Sound and Vibration,1999,226(1):149―167.
[3]Liu Kefu.Identification of linear time-varying system[J].Journal of Sound and Vibration,1997,206(4):487―505.
[4]Juang J N,Pappa R S.An eigensystem realizationalgorithm for modal parameter identification and modelreduction[J].Journal of Guidance,Control and Dynamic,1985,8(5):620―627.
[5]Longman R W,Juang J N.Recursive form of theeigensystem realization algorithm for systemidentification[J].Journal of Guidance,Control andDynamic,1989,12(5):647―652.
[6]于开平,谢礼立,樊久铭,等.移动质量-简支梁系统的参数辨识[J].地震工程与工程振动,2002,22(5):14―17.Yu Kaiping,Xie Lili,Fan Jiuming,et al.A parameteridentification of simply supported beams system carryinga moving mass[J].Earthquake Engineering andEngineering Vibration,2002,22(5):14―17.(in Chinese)
[7]杨利芳,于开平,庞世伟,等.用于线性时变结构系统辨识的子空间方法比较研究[J].振动与冲击,2007,26(3):8―12.Yang Lifang,Yu Kaiping,Pang Shiwei,et al.Comparison study on identification methods applied tolinear time-varying structures[J].Journal of Vibrationand Shock,2007,26(3):8―12.(in Chinese)
[8]Tasker F,Bosse A,Fisher S.Real-time modal parameterestimation using subspace methods:Theory[J].Mechanical Systems and Signal Processing,1998,12(6):797―808.
[9]Bosse A,Tasker F,Fisher S.Real-time modal parameterestimation using subspace methods:Application[J].Mechanical Systems and Signal Processing,1998,12(6):809―823.
[10]Dowling E M,Ammann L P,Degroat R D.ATQR-iteration based adaptive SVD for real time angeland frequency tracking[J].IEEE Transactions on SignalProcessing,1994,42(4):914―926.
[11]庞世伟,于开平,邹经湘.用于时变结构模态参数识别的投影估计递推子空间方法[J].工程力学,2005,22(5):115―119.Pang Shiwei,Yu Kaiping,Zou Jingxiang.A projectionapproximation recursive subspace method foridentification of modal parameters of time-varyingstructures[J].Engineering Mechanics,2005,22(5):115―119.(in Chinese)
[12]庞世伟,于开平,邹经湘.用于时变系统辨识的自由响应递推子空间方法[J].振动工程学报,2005,18(2):233―237.Pang Shiwei,Yu Kaiping,Zou Jingxiang.Time-varyingsystem identification using recursive subspace methodbased on free response data[J].Journal of VibrationEngineering,2005,18(2):233―236.(in Chinese)
[13]Yang Bin.Projection approximation subspace tracking[J].IEEE Transactions of Signal Processing,1995,43(1):95―107.
[14]Yang Bin.Subspace tracking based on the projectionapproach and the recursive least squares method[C].1993 IEEE International Conference on Acoustics,Speech and Signal Processing,1993,4:145―148.
[15]Abed-Meraim K,Chkeif A,Hua Y.Fast orthonormalPAST algorithm[J].IEEE Signal Processing Letters,2000,7(3):60―62.
[16]Hua Yingbo,Xiang Yong,Chen Tianping,et al.A newlook at the power method for fast subspace tracking[J].Digital Signal Processing,1999,9:297―314.
[17]Hua Yingbo,Xiang Yong,Chen Tiangping,AbedmeraimKarim,et al.Natural power method for fast subspacetracking[C].Proceeding of the 1999 IEEE SignalProcessing Society Workshop,Neural Networks forSignal Processing,1999:176―185.
[18]Roland Badeau,Bertrand David,Gael Richard.Fastapproximated power iteration subspace tracking[J].IEEE Transactions on Signal Processing,2005,53(8):2391―2341.
[19]DeGroat R D,Roberts R A.SVD update algorithms andspectral estimation applications[C].Proc 19th AsilomarConf Circuits,Syst,Comput,1995,35:601―605.
[20]Esmailzadeh E,Ghorashi M.Vibration analysis of beamstraversed by uniform partially distributed moving masses[J].Journal of Sound and Vibration,1995,184(1):9―17.
[2]Liu Kefu.Extension of modal analysis to lineartime-varying system[J].Journal of Sound and Vibration,1999,226(1):149―167.
[3]Liu Kefu.Identification of linear time-varying system[J].Journal of Sound and Vibration,1997,206(4):487―505.
[4]Juang J N,Pappa R S.An eigensystem realizationalgorithm for modal parameter identification and modelreduction[J].Journal of Guidance,Control and Dynamic,1985,8(5):620―627.
[5]Longman R W,Juang J N.Recursive form of theeigensystem realization algorithm for systemidentification[J].Journal of Guidance,Control andDynamic,1989,12(5):647―652.
[6]于开平,谢礼立,樊久铭,等.移动质量-简支梁系统的参数辨识[J].地震工程与工程振动,2002,22(5):14―17.Yu Kaiping,Xie Lili,Fan Jiuming,et al.A parameteridentification of simply supported beams system carryinga moving mass[J].Earthquake Engineering andEngineering Vibration,2002,22(5):14―17.(in Chinese)
[7]杨利芳,于开平,庞世伟,等.用于线性时变结构系统辨识的子空间方法比较研究[J].振动与冲击,2007,26(3):8―12.Yang Lifang,Yu Kaiping,Pang Shiwei,et al.Comparison study on identification methods applied tolinear time-varying structures[J].Journal of Vibrationand Shock,2007,26(3):8―12.(in Chinese)
[8]Tasker F,Bosse A,Fisher S.Real-time modal parameterestimation using subspace methods:Theory[J].Mechanical Systems and Signal Processing,1998,12(6):797―808.
[9]Bosse A,Tasker F,Fisher S.Real-time modal parameterestimation using subspace methods:Application[J].Mechanical Systems and Signal Processing,1998,12(6):809―823.
[10]Dowling E M,Ammann L P,Degroat R D.ATQR-iteration based adaptive SVD for real time angeland frequency tracking[J].IEEE Transactions on SignalProcessing,1994,42(4):914―926.
[11]庞世伟,于开平,邹经湘.用于时变结构模态参数识别的投影估计递推子空间方法[J].工程力学,2005,22(5):115―119.Pang Shiwei,Yu Kaiping,Zou Jingxiang.A projectionapproximation recursive subspace method foridentification of modal parameters of time-varyingstructures[J].Engineering Mechanics,2005,22(5):115―119.(in Chinese)
[12]庞世伟,于开平,邹经湘.用于时变系统辨识的自由响应递推子空间方法[J].振动工程学报,2005,18(2):233―237.Pang Shiwei,Yu Kaiping,Zou Jingxiang.Time-varyingsystem identification using recursive subspace methodbased on free response data[J].Journal of VibrationEngineering,2005,18(2):233―236.(in Chinese)
[13]Yang Bin.Projection approximation subspace tracking[J].IEEE Transactions of Signal Processing,1995,43(1):95―107.
[14]Yang Bin.Subspace tracking based on the projectionapproach and the recursive least squares method[C].1993 IEEE International Conference on Acoustics,Speech and Signal Processing,1993,4:145―148.
[15]Abed-Meraim K,Chkeif A,Hua Y.Fast orthonormalPAST algorithm[J].IEEE Signal Processing Letters,2000,7(3):60―62.
[16]Hua Yingbo,Xiang Yong,Chen Tianping,et al.A newlook at the power method for fast subspace tracking[J].Digital Signal Processing,1999,9:297―314.
[17]Hua Yingbo,Xiang Yong,Chen Tiangping,AbedmeraimKarim,et al.Natural power method for fast subspacetracking[C].Proceeding of the 1999 IEEE SignalProcessing Society Workshop,Neural Networks forSignal Processing,1999:176―185.
[18]Roland Badeau,Bertrand David,Gael Richard.Fastapproximated power iteration subspace tracking[J].IEEE Transactions on Signal Processing,2005,53(8):2391―2341.
[19]DeGroat R D,Roberts R A.SVD update algorithms andspectral estimation applications[C].Proc 19th AsilomarConf Circuits,Syst,Comput,1995,35:601―605.
[20]Esmailzadeh E,Ghorashi M.Vibration analysis of beamstraversed by uniform partially distributed moving masses[J].Journal of Sound and Vibration,1995,184(1):9―17.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心