Maximum entropy method for model and reliability updating using inspection data

Xuefei Guan, Ratneshwar Jha, Yongming Liu

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

Abstract

In this paper, a general method for probabilistic model and reliability updating using response measures is presented. The prior probability density functions for model parameters are derived according to the principle of Maximum Entropy (MaxEnt) when partial information is available. A posterior is formulated using the principle of Minimization of Discrimination Information (MDI) to perform probabilistic model and reliability updating when new inspection data are available. Simulation-based approaches are adopted to calculate the asymptotic solutions for the prior and posterior densities. A realistic fatigue crack growth example with experimental data is presented for illustration and validation of the proposed method.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - 2010
Externally publishedYes
Event51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Orlando, FL, United States
Duration: Apr 12 2010Apr 15 2010

Other

Other51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityOrlando, FL
Period4/12/104/15/10

Fingerprint

Maximum entropy methods
Inspection
Fatigue crack propagation
Probability density function
Entropy
Statistical Models

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction
  • Architecture

Cite this

Guan, X., Jha, R., & Liu, Y. (2010). Maximum entropy method for model and reliability updating using inspection data. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference [2010-2591]

Maximum entropy method for model and reliability updating using inspection data. / Guan, Xuefei; Jha, Ratneshwar; Liu, Yongming.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2010. 2010-2591.

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

Guan, X, Jha, R & Liu, Y 2010, Maximum entropy method for model and reliability updating using inspection data. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference., 2010-2591, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Orlando, FL, United States, 4/12/10.
Guan X, Jha R, Liu Y. Maximum entropy method for model and reliability updating using inspection data. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2010. 2010-2591
Guan, Xuefei ; Jha, Ratneshwar ; Liu, Yongming. / Maximum entropy method for model and reliability updating using inspection data. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2010.
@inproceedings{6701fcb102804a878d9d4c532d05aeb5,
title = "Maximum entropy method for model and reliability updating using inspection data",
abstract = "In this paper, a general method for probabilistic model and reliability updating using response measures is presented. The prior probability density functions for model parameters are derived according to the principle of Maximum Entropy (MaxEnt) when partial information is available. A posterior is formulated using the principle of Minimization of Discrimination Information (MDI) to perform probabilistic model and reliability updating when new inspection data are available. Simulation-based approaches are adopted to calculate the asymptotic solutions for the prior and posterior densities. A realistic fatigue crack growth example with experimental data is presented for illustration and validation of the proposed method.",
author = "Xuefei Guan and Ratneshwar Jha and Yongming Liu",
year = "2010",
language = "English (US)",
isbn = "9781600867422",
booktitle = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",

}

TY - GEN

T1 - Maximum entropy method for model and reliability updating using inspection data

AU - Guan, Xuefei

AU - Jha, Ratneshwar

AU - Liu, Yongming

PY - 2010

Y1 - 2010

N2 - In this paper, a general method for probabilistic model and reliability updating using response measures is presented. The prior probability density functions for model parameters are derived according to the principle of Maximum Entropy (MaxEnt) when partial information is available. A posterior is formulated using the principle of Minimization of Discrimination Information (MDI) to perform probabilistic model and reliability updating when new inspection data are available. Simulation-based approaches are adopted to calculate the asymptotic solutions for the prior and posterior densities. A realistic fatigue crack growth example with experimental data is presented for illustration and validation of the proposed method.

AB - In this paper, a general method for probabilistic model and reliability updating using response measures is presented. The prior probability density functions for model parameters are derived according to the principle of Maximum Entropy (MaxEnt) when partial information is available. A posterior is formulated using the principle of Minimization of Discrimination Information (MDI) to perform probabilistic model and reliability updating when new inspection data are available. Simulation-based approaches are adopted to calculate the asymptotic solutions for the prior and posterior densities. A realistic fatigue crack growth example with experimental data is presented for illustration and validation of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=84855628494&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855628494&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84855628494

SN - 9781600867422

BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

ER -