Abstract

The use of the posterior Cramér-Rao lower bound (PCRLB) as a lower bound for the mean-squared estimation error (MSEE) of progressive damage is investigated. The estimation problem is formulated in terms of a stochastic dynamic system model that describes the random evolution of damage and provides measurement uncertainty. Based on whether the system is linear or nonlinear, sequential Monte Carlo techniques are used to approximate the posterior probability density function and thus obtain the damage state estimate. The resulting MSEE is compared to the lower bound offered by the PCRLB that is obtained from the implied state transition probability density function and the measurement likelihood function. The progressive estimation results and the PCRLB are demonstrated for fatigue crack estimation in an aluminum compact-tension (CT) sample subjected to variable-amplitude loading.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009
Pages589-595
Number of pages7
Volume2
DOIs
StatePublished - 2009
Event2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009 - Oxnard, CA, United States
Duration: Sep 21 2009Sep 23 2009

Other

Other2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009
CountryUnited States
CityOxnard, CA
Period9/21/099/23/09

Fingerprint

Health
Error analysis
Probability density function
Dynamical systems
Aluminum
Uncertainty
Fatigue cracks

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Zhang, J. J., Zhou, W., Kovvali, N., Papandreou-Suppappola, A., & Chattopadhyay, A. (2009). On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management. In Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009 (Vol. 2, pp. 589-595) https://doi.org/10.1115/SMASIS2009-1454

On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management. / Zhang, Jun Jason; Zhou, Wenfan; Kovvali, Narayan; Papandreou-Suppappola, Antonia; Chattopadhyay, Aditi.

Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009. Vol. 2 2009. p. 589-595.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhang, JJ, Zhou, W, Kovvali, N, Papandreou-Suppappola, A & Chattopadhyay, A 2009, On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management. in Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009. vol. 2, pp. 589-595, 2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009, Oxnard, CA, United States, 9/21/09. https://doi.org/10.1115/SMASIS2009-1454
Zhang JJ, Zhou W, Kovvali N, Papandreou-Suppappola A, Chattopadhyay A. On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management. In Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009. Vol. 2. 2009. p. 589-595 https://doi.org/10.1115/SMASIS2009-1454
Zhang, Jun Jason ; Zhou, Wenfan ; Kovvali, Narayan ; Papandreou-Suppappola, Antonia ; Chattopadhyay, Aditi. / On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management. Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009. Vol. 2 2009. pp. 589-595
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