[1] Du Xiuli, Wang Fengquan,. Modal identification to non-stationary random excitationbased on wavelet transform and co-integration theory [J]. Journal of Southeast University (English Edition), 2007, 23 (4): 583-587. [doi:10.3969/j.issn.1003-7985.2007.04.021]

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Modal identification to non-stationary random excitationbased on wavelet transform and co-integration theory()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

23

Issue:

2007 4

Page:

583-587

Research Field:

Mechanical Engineering

Publishing date:

2007-12-30

Info

Title:

Modal identification to non-stationary random excitationbased on wavelet transform and co-integration theory

Author(s):

Du Xiuli¹;  2;  Wang Fengquan¹

¹School of Civil Engineering, Southeast University, Nanjing 210096, China
²College of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China

Keywords:

modal identification;  wavelet transform;  non-stationary random excitation;  co-integration;  NExT method

PACS:

TH113.1;O324

DOI:

10.3969/j.issn.1003-7985.2007.04.021

Abstract:

A kind of method of modal identification subject to ambient excitation is presented.A new synthesis stationary signal based on structural response wavelet transform and wavelet coefficient processes co-integration is obtained.The new signal instead of structural response is used in identifying the modal parameters of a non-stationary system, combined with the method of modal identification under stationary random excitation—the NExT method and the adjusted continuous least square method.The numerical results show that the method can eliminate the non-stationarity of structural response subject to non-stationary random excitation to a great extent, and is highly precise and robust.

References:

[1] Yang Shuzi, Wu Ya.Engineering application of time series analysis[M].Wuhan: Huazhong University of Science and Technology Press, 1991.(in Chinese)
[2] Larbi N, Lardies J.Experimental modal analysis of a structure excited by a random force[J].Mechanical Systems and Signal Processing, 2000, 14(2):181-192.
[3] Ueng Jinmin, Lin Chichang, Lin Paolung.System identification of torsionally coupled buildings[J].Computers and Structures, 2000, 74(6):667-686.
[4] Bonato P, Ceravold R, de Stefano A, et al.Use of cross-time-frequency estimators for structural identification in non-stationary conditions and under unknown excitation[J].Journal of Sound and Vibration, 2000, 237(5):775-791.
[5] Zhang Z Y, Hua H X, Xu X Z, et al.Modal parameter identification through Gabor expansion of response signals[J].Journal of Sound and Vibration, 2003, 266(5):943-955.
[6] Donoho D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory, 1995, 41(3):613-627.
[7] Li Zhongfu, Hua Hongxing, Song Hanwen, et al.Modal parameters identification of linear structures undergoing non-stationary ambient excitation [J].Journal of Vibration Engineering, 2002, 15(2):139-143.(in Chinese)
[8] Xu Xiuzhong, Hua Hongxing, Li Zhongfu, et al.Identification of modal parameters with linear structure under non-stationary ambient excitation[J].Journal of Donghua University:English Edition, 2004, 21(1):146-151.
[9] Cailedo Juan Martin, Dyke Shirley J, Johnson Erik A.Natural excitation technique and eigensystem realization algorithm for phase 1 of the IASC-ASCE benchmark problem:simulated data[J].Journal of Engineering Mechanics, 2004, 130(1):49-61.
[10] Yao Zhiyuan.Method of identification of structural physical parameters based on continuous time model[J].Journal of Southeast University:Natural Science Edition, 2003, 33(5):617-620.(in Chinese)
[11] Ventura C E, Liam Finn W D, Lord J F.Dynamic characteristics of a base isolated building from ambient vibration measurements and low level earthquake shaking [J].Soil Dynamics and Earthquake Engineering, 2003, 23(4):313-322.
[12] Du Xiuli, Wang Fengquan.Method of identification based on wavelet transform in LTI system under non-stationary random excitation[J].Journal of Southeast University:Natural Science Edition, 2006, 36(2):319-321.(in Chinese)

Memo

Memo:

Biography: Du Xiuli(1974—), female, graduate, lecturer, duxiuli@njnu.edu.cn.

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