Title
An Inverse Pod-Rbf Network Approach To Parameter Estimation In Mechanics
Keywords
elasticity; fracture mechanics; heat conduction; inverse problem; parameter estimation; proper orthogonal decomposition
Abstract
An inverse approach is formulated using proper orthogonal decomposition (POD) integrated with a trained radial basis function (RBF) network to estimate various physical parameters of a specimen with little prior knowledge of the system. To generate the truncated POD-RBF network utilized in the inverse problem, a series of direct solutions based on the finite element method, the boundary element method or exact analytical solutions are used to generate a data set of temperatures or deformations within the system or body, each produced for a unique set of physical parameters. The data set is then transformed via POD to generate an orthonormal basis to accurately solve for the desired material characteristics using the Levenberg-Marquardt algorithm to minimize the objective least-squares functional. While the POD-RBF inverse approach outlined in this article focuses primarily in application to conduction heat transfer, elasticity and fracture mechanics, this technique is designed to be directly applicable to other realistic conditions and/or relevant industrial problems. © 2012 Copyright Taylor and Francis Group, LLC.
Publication Date
9-1-2012
Publication Title
Inverse Problems in Science and Engineering
Volume
20
Issue
5
Number of Pages
749-767
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1080/17415977.2012.693080
Copyright Status
Unknown
Socpus ID
84864699921 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84864699921
STARS Citation
Rogers, Craig A.; Kassab, Alain J.; Divo, Eduardo A.; Ostrowski, Ziemowit; and Bialecki, Ryszard A., "An Inverse Pod-Rbf Network Approach To Parameter Estimation In Mechanics" (2012). Scopus Export 2010-2014. 4509.
https://stars.library.ucf.edu/scopus2010/4509