Sensitivity and computational comparison of state-space methods for structural health monitoring

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5768, Issue , 2005, Pages 241-252

  Olson, Colin C ^a   Overbey, Lucas A ^a   Todd, M D ^a  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

Damage detection; Structural health monitoring

Indexed keywords

VIBRATIONS (MECHANICAL);

ATTRACTOR; DAMAGE DETECTION; STRUCTURAL HEALTH MONITORING; VIBRATION RESPONSE;

STRUCTURES (BUILT OBJECTS);

EID: 25644443042     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.598894     Document Type: Conference Paper

References (21)

1. Doebling S W, Farrar C R and Prime M B, A Summary Review of Vibration-based Damage Identification Methods, Shock Vib. Dig. 205 631-45, 1998
2. Wang W J, Wu Z T and Chen J, Fault Identification in Rotating Machinery Using the Correlation Dimension and Bispectra, Nonlinear Dyn. 25 383-93, 2000
3. Hou Z, Noori M and Amand R S, Wavelet-based Approach for Structural Damage Detection, J. Eng. Mech. 126 677-83, 2000
4. Sohn H, Farrar C R, Hunter N F and Worden K, Structural Health Monitoring Using Statistical Pattern Recognition, J. Dyn. Syst. Meas. Control 123 706-11, 2001
5. Bodeux J B and Golinval J C, Modal Identification and Damage Detection using the Data-driven Stochastic Subspace and Armav Methods, Mech. Syst. Signal Process. 10 241-50, 1996
6. J M Nichols, M D Todd and J R Wait, Using State Space Predictive Modeling with Chaotic Interrogation in Detecting Joint Preload Loss in a Frame Structure Experiment, Smart Materials and Structures 12(4) 580-601, 2003
7. J M Nichols, C J Nichols, M D Todd, M Seaver, S T Trickey and L N Virgin, Use of Data Driven Phase Space Models in Assessing the Strength of a Bolted Connection in a Composite Beam, Smart Materials and Structures 13(2) 241-250, 2004
8. M D Todd, K Erickson, L Chang, K Lee, and J M Nichols, Using Chaotic Interrogation and Attractor Nonlinear Cross-Prediction Error to Detect Fastener Preload Loss in an Aluminum Frame, Chaos: An Interdisciplinary Journal of Nonlinear Science 14(2) 387-399, 2004
9. Takens F, Detecting Strange Attractors in Turbulence, Dynamical Systems and Turbulence (Springer Lecture Notes in Mathematics vol 898) ed D Rand and L S Young (New York: Springer) 366-81, 1981
10. Whitney H, Differential Manifolds, Ann. Math. 37 645, 1936
11. J M Nichols, C J Nichols, M D Todd, M Seaver, S T Trickey and L N Virgin, Use of Data Driven Phase Space Models in Assessing the Strength of a Bolted Connection in a Composite Beam, Smart Materials and Structures 13(2) 241-250, 2004
12. L Moniz, T Carroll, L Pecora and M D Todd, Assessment of Damage in an 8-Oscillator Circuit Using Dynamical Forcing, Physical Review E 68/036215, 2003
13. MD Todd, K Erickson, L Chang, K Lee, and J M Nichols, Using Chaotic Interrogation and Attractor Nonlinear Cross-Prediction Error to Detect Fastener Preload Loss in an Aluminum Frame, Chaos: An Interdisciplinary Journal of Nonlinear Science 14(2) 387-399, 2004
14. Todd M D, Overbey L A, Olson C O, Fasel T R, Comparing Deterministic and Band-Limited Stochastic Excitation with State Space Models to Assess Frame Joint Integrity, Third International Conference on Advances in Structural Engineering and Mechanics, Seoul, Korea, Sep 2-4, 2004
15. Kantz H and Schreiber T, Nonlinear Time Series Analysis (Cambridge: Cambridge University Press)
16. Sauer T and Yorke J A and Casdagli M, Embedology, J. Stat. Phys. 65 570, 1991
17. Sauer T and Yorke J A, How Many Delay Coordinates Do You Need, Int. J. Bifurcation Chaos 3 737, 1993
18. Fraser, A.M. and Swinney, H.L., "Independent coordinates for strange attractors from mutual information," Physical Review 33, pp. 1134-40, 1986.
19. Kennel, M.B. and Abarbanel, H.D.I., "Determining embedding dimension for phase-space reconstruction using a geometrical construction," Physical Review A 45/6, pp. 3403-11, 1992.
20. Theiler J, Spurious Dimension from Correlation Algorithms Applied to Limited Time-Series Data, Phys. Rev. A 34 2427, 1986
21. Pecora L M and Carroll T L, Discontinuous and Nondifferentiable Functions and Dimension Increase Reduced by Filtering Chaotic Data, CHAOS 6 432-9, 1996