Technical Papers
Sep 3, 2012

Use of Continuous-Wavelet Transmissibility for Structural Operational Modal Analysis

Publication: Journal of Structural Engineering
Volume 139, Issue 9

Abstract

Operational modal analysis is a challenging task to deal with output-only vibration measurements contaminated by noise. This paper proposes a new method for operational modal identification of a linear system using continuous-wavelet transmissibility (CWTR) to make full use of the advantages of operational transmissibility measurements and wavelet transform. A new theorem on limits is mathematically proved, for which the proposed CWTR at different scales are independent of stationary excitations acting on the structure at the system poles. With such a unique feature, the operational modal frequencies and mode shapes can be extracted by combing different CWTRs at numerous wavelet scales with different transferring outputs. The applicability of the method is numerically verified by a 4-story frame subjected to random forces. The effects of wavelet functions and scale discretion step have been investigated. The real case application of a concrete-filled steel tubular arch bridge tested in the field under operational conditions further illustrates that the operational modal parameters, identified by the present technique, agree well with those obtained from the existing identification methods and calculated by finite-element analysis. It is demonstrated that the proposed CWTRs are capable of identifying the operational modal parameters of full-sized structures.

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Acknowledgments

Financial support from the Natural Science Foundation of China (NSFC) under Grant No. 51078357 is acknowledged. The constructive comments from anonymous reviewers are appreciated.

References

Andersen, P., Brincker, R., and Kirkegaard, P. H. (1996). “Theory of covariance equivalent ARMAV models of civil engineering structures.” Proc., IMAC14, Dearborn, MI, 518–524.
Bendat, J. S., and Piersol, A. G. (1993). Engineering applications of correlation and spectral analysis, 2nd Ed., Wiley, New York.
Boltezar, M., and Slavic, J. (2004). “Enhancements to the continuous wavelet transform for damping identifications on short signals.” Mech. Syst. Signal Process., 18(5), 1065–1076.
Bracewell, R. N. (1986). The Fourier transform and its applications, 2nd Ed., McGraw Hill, New York.
Brincker, R., Zhang, L., and Andersen, P. (2001). “Modal identification of output-only systems using frequency domain decomposition.” Smart Mater. Struct., 10(3), 441–455.
Daubechies, I. (1992). Ten lectures on wavelets, SIAM, Philadelphia.
Devriendt, C., and Guillaume, P. (2007). “The use of transmissibility measurements in output-only modal analysis.” Mech. Syst. Signal Process., 21(7), 2689–2696.
Devriendt, C., and Guillaume, P. (2008). “Identification of modal parameters from transmissibility measurements.” J. Sound Vibrat., 314(1–2), 343–356.
Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.” Research Rep. No. LA-13070-MS, ESA-EA, Los Alamos National Laboratory, Los Alamos, NM.
Gouttebroze, S., and Lardies, J. (2001). “On using the wavelet transform in modal analysis.” Mech. Res. Commun., 28(5), 561–569.
Guillaume, P., Verboven, P., Vanlanduit, A., Van Der Auweraer, H., and Peeters, B. (2003). “A poly-reference implementation of the least-squares complex frequency-domain estimator.” Proc., IMAC21, Kissimmee, FL, 1069–1082.
Ibrahim, S. R., and Mikulcik, E. C. (1977). “A method for the direct identification of vibration parameters from the free response.” Shock Vibr. Bull., 47(4), 183–198.
Jaishi, B., and Ren, W. X. (2005). “Structural finite element model updating using ambient vibration test results.” J. Struct. Eng., 131(4), 617–628.
James, G. H., III, Carne, T. G., and Lauffer, J. P. (1995). “The natural excitation technique (NExT) for modal parameter extraction from operating structures.” Int. J. Anal. Exp. Modal Anal., 10(4), 260–277.
Juang, J. N. (1994). Applied system identification, Prentice Hall, Englewood Cliffs, NJ.
Koop, J. C. (1964). “On an identity for the variance of a ratio of two random variables.” J. R. Stat. Soc., B, 26(3), 484–486.
Ku, C. J., Cermak, J. E., and Chou, L-S. (2007). “Random decrement based method for modal parameter identification of a dynamic system using acceleration responses.” J. Wind Eng. Ind. Aerodyn., 95(6), 389–410.
Lardies, J., and Gouttebroze, S. (2002). “Identification of modal parameters using the wavelet transform.” Int. J. Mech. Sci., 44(11), 2263–2283.
Lardies, J., and Ta, M. (2011). “Modal parameter identification of stay cables from output-only measurements.” Mech. Syst. Signal Process., 25(1), 133–150.
Le, T. P., and Argoul, P. (2004). “Continuous wavelet transform for modal identification using free decay response.” J. Sound Vibrat., 277(1–2), 73–100.
Mao, Z., and Todd, M. (2012). “A model for quantifying uncertainty in the estimation of noise-contaminated measurements of transmissibility.” Mech. Syst. Signal Process., 28, 470–481.
MathWorks, Inc. (2007). MATLAB function reference, MATLAB Ver. R2007a, MathWorks, Natick, MA.
Peeters, B., and De Roeck, G. (2000). “Reference based stochastic subspace identification in civil engineering.” Inverse Probl. Eng., 8(1), 47–74.
Peeters, B., Van Der Auweraer, H., Guillaume, P., and Leuridan, J. (2004). “The PolyMAX frequency-domain method: A new standard for modal parameter estimation.” Shock Vibr., 11(3–4), 395–409.
Ren, W. X., and De Roeck, G. (2002a). “Structural damage identification using modal data. I: Simulation verification.” J. Struct. Eng., 128(1), 87–95.
Ren, W. X., and De Roeck, G. (2002b). “Structural damage identification using modal data. II: Test verification.” J. Struct. Eng., 128(1), 96–104.
Ren, W. X., Zatar, W., and Harik, I. E. (2004). “Ambient vibration based seismic evaluation of highway bridges.” Eng. Struct., 26(5), 631–640.
Ruzzene, M., Fasana, A., Garibaldi, L., and Piombo, B. (1997). “Natural frequencies and dampings identification using wavelet transform: Application to real data.” Mech. Syst. Signal Process., 11(4), 207–218.
Slavic, J., Simonovski, I., and Boltezar, M. (2003). “Damping identification using a continuous wavelet transform: Application to real data.” J. Sound Vibrat., 262(2), 291–307.
Staszewski, W. J. (1997). “Identification of damping in m.d.o.f systems using time-scale decomposition.” J. Sound Vibrat., 203(2), 283–305.
Vandiver, J. K., Dunwoody, A. B., Campbell, R. B., and Cook, M. F. (1982). “A mathematical basis for the random decrement vibration signature analysis technique.” J. Mech. Des., 104(2), 307–313.
Van Overschee, P., and De Moor, B. (1996). Subspace identification for linear systems: Theory, implementation and applications, Kluwer Academic Publishers, Dordrecht, Netherlands.
Veblen, O., and Lennes, N. (1907). Introduction to infinitesimal analysis: Functions of one variable, Wiley, New York.
Welch, P. D. (1967). “The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms.” IEEE Trans. Audio Electroacoust., 15(2), 70–73.
Yan, W. J., and Ren, W. X. (2012). “Operational modal parameter identification from power spectrum density transmissibility.” Comput. Aided Civ. Infrastruct. Eng., 27(3), 202–217.
Zong, Z. H., Jashi, B., Ge, J. P., and Ren, W. X. (2005). “Dynamic analysis of a half-through concrete-filled tubular arch bridge.” Eng. Struct., 27(1), 3–15.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 139Issue 9September 2013
Pages: 1444 - 1456

History

Received: Oct 4, 2011
Accepted: Aug 30, 2012
Published online: Sep 3, 2012
Published in print: Sep 1, 2013

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Authors

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Wang-Ji Yan
Lecturer, Dept. of Civil Engineering, Hefei Univ. of Technology, Hefei 230009, China.
Wei-Xin Ren [email protected]
Distinguished Professor, Dept. of Civil Engineering, Hefei Univ. of Technology, Hefei 230009, China (corresponding author). E-mail: [email protected]

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