A computational approach for robust nondestructive test design maximizing characterization capabilities for solids and structures subject to uncertainty

• Published in: International journal for numerical methods in engineering Vol. 104; no. 4; pp. 297 - 311
• Main Authors: Notghi, Bahram, Brigham, John C.
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 26.10.2015; Wiley Subscription Services, Inc
• Subjects: collocation; Computation; Design engineering; material characterization; Mathematical models; Maximization; Nondestructive testing; Nondestructive tests; Optimization; probabilistic methods; Redundancy; solids; Uncertainty
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.4945

Summary A robust approach to nondestructive test (NDT) design for material characterization and damage identification in solids and structures is presented and numerically evaluated. The generally applicable approach combines maximization of test sensitivity with minimization of test information redundancy, while simultaneously minimizing the effects of uncertain system parameters to determine optimal NDT parameters for robust nondestructive evaluation. In addition, to maintain reasonable computational expense while also allowing for general applicability, a stochastic collocation technique is presented for the quantification of uncertainty in the robust design metrics. The robust NDT design approach was tested through simulated case studies based on the characterization of localized variations in Young's modulus distributions in aluminum structural components utilizing steady‐state dynamic surface excitation and localized measurements of displacement and compared with a purely deterministic NDT design approach. The robust design approach is shown to produce substantially different NDT designs than the analogous deterministic strategy. More importantly, the robust NDT designs are shown to provide significant improvements in the ability to accurately nondestructively evaluate structural properties for the cases considered, when there is significant uncertainty in system parameters and/or aspects of the NDT implementation. Copyright © 2015 John Wiley & Sons, Ltd.