On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management

Jun Jason Zhang; Wenfan Zhou; Narayan Kovvali; Antonia Papandreou-Suppappola; Aditi Chattopadhyay

doi:10.1115/SMASIS2009-1454

On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management

Jun Jason Zhang, Wenfan Zhou, Narayan Kovvali, Antonia Papandreou-Suppappola, Aditi Chattopadhyay

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English (US)
Title of host publication	Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009
Pages	589-595
Number of pages	7
DOIs	https://doi.org/10.1115/SMASIS2009-1454
State	Published - 2009
Event	2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009 - Oxnard, CA, United States Duration: Sep 21 2009 → Sep 23 2009

Publication series

Name	Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009
Volume	2

Other

Other	2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009
Country/Territory	United States
City	Oxnard, CA
Period	9/21/09 → 9/23/09

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials

Access to Document

10.1115/SMASIS2009-1454

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 (pp. 589-595). (Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009; Vol. 2). 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 et al.
Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009. 2009. p. 589-595 (Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference 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. 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. 2009. p. 589-595. (Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009). doi: 10.1115/SMASIS2009-1454

Zhang, Jun Jason ; Zhou, Wenfan ; Kovvali, Narayan et al. / 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. 2009. pp. 589-595 (Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009).

@inproceedings{995827c5df3448319f148f6d3c1ec43d,

title = "On the use of the posterior Cram{\'e}r-Rao lower bound for damage estimation in structural health management",

abstract = "The use of the posterior Cram{\'e}r-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.",

author = "Zhang, {Jun Jason} and Wenfan Zhou and Narayan Kovvali and Antonia Papandreou-Suppappola and Aditi Chattopadhyay",

year = "2009",

doi = "10.1115/SMASIS2009-1454",

language = "English (US)",

isbn = "9780791848975",

series = "Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009",

pages = "589--595",

booktitle = "Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009",

note = "2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009 ; Conference date: 21-09-2009 Through 23-09-2009",

}

TY - GEN

T1 - On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management

AU - Zhang, Jun Jason

AU - Zhou, Wenfan

AU - Kovvali, Narayan

AU - Papandreou-Suppappola, Antonia

AU - Chattopadhyay, Aditi

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77953781370&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953781370&partnerID=8YFLogxK

U2 - 10.1115/SMASIS2009-1454

DO - 10.1115/SMASIS2009-1454

M3 - Conference contribution

AN - SCOPUS:77953781370

SN - 9780791848975

T3 - Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009

SP - 589

EP - 595

BT - Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009

T2 - 2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009

Y2 - 21 September 2009 through 23 September 2009

ER -

On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this