Flexibility-Based Damage Localization from Stochastic Realization Results
Publication: Journal of Engineering Mechanics
Volume 132, Issue 6
Abstract
Localization of damage from changes in flexibility in structures identified from operational or ambient vibration has long been hindered by the fact that the flexibility cannot be extracted exclusively from output signals. This obstacle is substantially removed here by noting that the null space of the flexibility change contains the damage localization information and that vectors in this null space can be estimated from output signals without having explicit flexibility matrices. The central pillar of the contribution is a derivation showing that although the spatial distribution of the input that generates the observed output is unknown, the state-space triplet connected with a collocated input distribution (for a model order up to twice the number of sensors) can be extracted from output measurements. The fact that vectors in the null space of the change in flexibility can be extracted from this triplet falls from the expression for the flexibility in terms of the state-space matrices and from the fact that the damage is assumed to have no effect on the inertial properties.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bernal, D. (2000). “Extracting flexibility matrices from state-space realizations.” COST F3 Conf., Madrid, Spain, Vol. 1, 127–135.
Bernal, D. (2002). “Load vectors for damage localization.” J. Eng. Mech., 128(1), 7–14.
Bernal, D. (2003). “A flexibility based approach for the characterization of damage—Application to Phase-IIe of the AISC-ASCE benchmark study.” Proc., 21st Modal Analysis Conf., IMAC XXI, Orlando, Fla., (CD-ROM).
Bernal, D. (2004). “Modal scaling from known mass perturbations.”J. Eng. Mech., 130(9), 1083–1088.
Bernal, D. (2005). “Closely spaced roots and defectiveness in second-order systems.” J. Eng. Mech., 131(3), 276–281.
Bernal, D., and DeStefano, A. (2003). “Diagnosis of structural damage from non-stationary output-only measurements.” DAMAS 2003, Southampton, U.K. (CD-ROM).
Bernal, D., and Gunes, B. (2002). “Damage localization in output-only systems: A flexibility based approach.” Proc., 20th Modal Analysis Conf., IMAC XX, Los Angeles, 1185–1191.
Bernal, D., and Gunes, B. (2004). “Flexibility based approach for damage characterization: Benchmark application.” J. Eng. Mech., 130(1), 61–70.
Bernal, D., and Levy, A. (2001). “Localization of damage in plates using DLV’s.” Int. Modal Analysis Conf., IMAC-XIX, Orlando, Fla., 1205–1211.
Brinker, R., and Andersen, P. (2002). “A way of getting scaled mode shapes in output-only modal testing.” Int. Modal Analysis Conf., IMAC-XXI, Orlando, Fla., Paper #141.
Di Ruscio, D. (1996). “Combined deterministic and stochastic system identification and realization: DSR—A subspace approach based on observations.” Modeling Identification and Control, 17(3), 193–230.
Gawronski, W. (1998). Dynamics and control of structures: A model approach, Mechanical Engineering Series, Springer, New York.
Juang, J. (1994). Applied system identification, Prentice-Hall, PTR, Upper Saddle River, N.J.
Juang, J., and Pappa, R. (1985). “An eigensystem realization algorithm for modal parameter identification and model reduction.” J. Guid. Control Dyn., 8(5), 610–627.
Kalman, R. E. (1963). “Mathematical description of linear dynamical systems.” SIAM J. Control, 1(2), 152–192.
Kaylath, T., Sayed, A. H., and Hassibi, B. (2000). Linear estimation, Prentice-Hall Information and System Science Series, Upper Saddle River, N.J.
Lancaster, P. (1966). Lambda-matrices and vibrating systems, Pergamon, New York.
Parloo, E., Verboven, P., Guillaume, P., and Overmeire, M. V. (2001). “Sensitivity-based mass-normalization of mode shape estimates from output-only data.” Proc., Int. Conf. on Structural System Identification, Kassel, Gernmany, 627–636.
Parloo, E., Verboven, P., Guillaume, P., and Overmeire, M. V. (2002). “Sensitivity-based operational mode shape normalization.” Mech. Syst. Signal Process., 16(5), 757–767.
Van Overschee, P., and Moor, B. L. (1996), Subspace identification for linear systems: Theory, implementation, applications, Kluwer Academic, Boston.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 6 • June 2006
Pages: 651 - 658
Copyright
© 2006 ASCE.
History
Received: Feb 16, 2005
Accepted: Aug 19, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
Notes
Note. Associate Editor: Joel P. Conte
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.