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Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio

Publication ,  Journal Article
Todd, MD; Nichols, JM; Pecora, LM; Virgin, LN
Published in: Smart Materials and Structures
October 1, 2001

A novel feature extracted from a nonlinear time series is presented within the context of vibration-based damage detection in a system. An eight-degree-of-freedom spring-mass-damper 'structure' is considered with damage incurred by a stiffness degradation in one spring. The system is excited with a chaotic input, and by tuning the Lyapunov exponents of the chaotic excitation to the dominant eigenvalue of the structure the dimensionality of the entire system is effectively controlled. Both the input and output are viewed in state space as geometric objects, and the effect of the damage is shown to alter the geometric properties of the corresponding attractors at a local level, which may be captured in construction of the feature. The utility of the feature is compared with that of a number of modal-based features and shown to be superior in resolving capability and in robustness.

Duke Scholars

Published In

Smart Materials and Structures

DOI

ISSN

0964-1726

Publication Date

October 1, 2001

Volume

10

Issue

5

Start / End Page

1000 / 1008

Related Subject Headings

  • Materials
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences
 

Citation

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Todd, M. D., Nichols, J. M., Pecora, L. M., & Virgin, L. N. (2001). Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio. Smart Materials and Structures, 10(5), 1000–1008. https://doi.org/10.1088/0964-1726/10/5/316
Todd, M. D., J. M. Nichols, L. M. Pecora, and L. N. Virgin. “Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio.” Smart Materials and Structures 10, no. 5 (October 1, 2001): 1000–1008. https://doi.org/10.1088/0964-1726/10/5/316.
Todd MD, Nichols JM, Pecora LM, Virgin LN. Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio. Smart Materials and Structures. 2001 Oct 1;10(5):1000–8.
Todd, M. D., et al. “Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio.” Smart Materials and Structures, vol. 10, no. 5, Oct. 2001, pp. 1000–08. Scopus, doi:10.1088/0964-1726/10/5/316.
Todd MD, Nichols JM, Pecora LM, Virgin LN. Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio. Smart Materials and Structures. 2001 Oct 1;10(5):1000–1008.
Journal cover image

Published In

Smart Materials and Structures

DOI

ISSN

0964-1726

Publication Date

October 1, 2001

Volume

10

Issue

5

Start / End Page

1000 / 1008

Related Subject Headings

  • Materials
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences