Abstract
The merit of linear projections as a way to improve the resolution in damage detection under changing environmental conditions is examined. It is contended that if the data from the reference condition is balanced, in the sense that the number of feature vectors available for the various temperatures is similar, then projections, such as those in Principal Component Analysis and Factor Analysis, will not improve performance. Projections, however, help to control the false positive rate when the reference data set is not balanced. Analysis and simulation results suggest that previous claims on the merit of projection as a way to improve damage detection resolution under environmental variability may be too optimistic.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Worden K, Sohn H, Farrar CR (2002) Novelty detection in a changing environment: regression and interpolation approaches. J Sound Vib 258(4):741–761
Peeters B, De Roeck G (2000) One year monitoring of the Z24 bridge: environmental influences versus damage effects. In: Proceedings of the IMAC-XVIII, San Antonio, TX, pp 1570–1576
Sohn H, Farrar CR, Hunter NF, Worden K (2001) Structural health monitoring using statistical pattern recognition techniques. J Dyn Syst Meas Control 123:706
Hotelling H (1947) Multivariate Quality Control Illustrated by Air Testing of Sample Bombsights, Selected Techniques of Statistical Analysis, C Eisenhart, et al., Editors, McGraw-Hill, New York.
Yan A-M, Kerschen G, De Boe P, Golinval J-C (2005) Structural damage diagnosis under varying environmental conditions – Part I: a linear analysis. Mech Syst Signal Process 19:847–864
Rubin D, Thayer D (1982) EM algorithms for ML factor analysis. Phcycometrika 47(1):69–76
Kullaa J (2003) Is temperature measurement essential in structural health monitoring. In: Proceedings of the 4th international workshop on structural health monitoring, Stanford, CA, pp 717–724
Acknowledgements
This research was supported by NSF grant 1000391 under the Hazard Mitigation and Structural Engineering Program. This support is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 The Society for Experimental Mechanics
About this paper
Cite this paper
Kojidi, S.M., Döhler, M., Bernal, D., Liu, Y. (2014). Linear Projection Techniques in Damage Detection Under a Changing Environment. In: Allemang, R., De Clerck, J., Niezrecki, C., Wicks, A. (eds) Topics in Modal Analysis, Volume 7. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6585-0_30
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6585-0_30
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6584-3
Online ISBN: 978-1-4614-6585-0
eBook Packages: EngineeringEngineering (R0)