A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests
Abstract
The integrity of engineering structures is often compromised by embedded surfaces that result from incomplete bonding during the manufacturing process, or initiation of damage from fatigue or impact processes. Examples include delaminations in composite materials, incomplete weld bonds when joining two components, and internal crack planes that may form when a structure is damaged. In many cases the areas of the structure in question may not be easily accessible, thus precluding the direct assessment of structural integrity. In this paper, we present a gradientbased, partial differential equation (PDE)constrained optimization approach for solving the inverse problem of interface detection in the context of steadystate dynamics. An objective function is defined that represents the difference between the model predictions of structural response at a set of spatial locations, and the experimentally measured responses. One of the contributions of our work is a novel representation of the design variables using a density field that takes values in the range [0, 1] and raised to an integer exponent that promotes solutions to be near the extrema of the range. The density field is combined with the penalty method for enforcing a zero gap condition and realizing partially bonded surfaces. Furthermore the use of themore »
 Authors:

 Duke Univ., Durham, NC (United States)
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1499696
 Report Number(s):
 SAND20181899J
Journal ID: ISSN 00457825; 660838
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Computer Methods in Applied Mechanics and Engineering
 Additional Journal Information:
 Journal Volume: 345; Journal Issue: C; Journal ID: ISSN 00457825
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; Interface detection; Inverse problems; Finite element; Constrained optimization; Penalty method; Structural dynamics
Citation Formats
Aquino, Wilkins, Bunting, Gregory, Miller, Scott T., and Walsh, Timothy F. A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests. United States: N. p., 2018.
Web. doi:10.1016/j.cma.2018.11.002.
Aquino, Wilkins, Bunting, Gregory, Miller, Scott T., & Walsh, Timothy F. A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests. United States. doi:10.1016/j.cma.2018.11.002.
Aquino, Wilkins, Bunting, Gregory, Miller, Scott T., and Walsh, Timothy F. Wed .
"A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests". United States. doi:10.1016/j.cma.2018.11.002. https://www.osti.gov/servlets/purl/1499696.
@article{osti_1499696,
title = {A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests},
author = {Aquino, Wilkins and Bunting, Gregory and Miller, Scott T. and Walsh, Timothy F.},
abstractNote = {The integrity of engineering structures is often compromised by embedded surfaces that result from incomplete bonding during the manufacturing process, or initiation of damage from fatigue or impact processes. Examples include delaminations in composite materials, incomplete weld bonds when joining two components, and internal crack planes that may form when a structure is damaged. In many cases the areas of the structure in question may not be easily accessible, thus precluding the direct assessment of structural integrity. In this paper, we present a gradientbased, partial differential equation (PDE)constrained optimization approach for solving the inverse problem of interface detection in the context of steadystate dynamics. An objective function is defined that represents the difference between the model predictions of structural response at a set of spatial locations, and the experimentally measured responses. One of the contributions of our work is a novel representation of the design variables using a density field that takes values in the range [0, 1] and raised to an integer exponent that promotes solutions to be near the extrema of the range. The density field is combined with the penalty method for enforcing a zero gap condition and realizing partially bonded surfaces. Furthermore the use of the penalty method with a density field representation leads to objective functions that are continuously differentiable with respect to the unknown parameters, enabling the use of efficient gradientbased optimization algorithms. Numerical examples of delaminated plates are presented to demonstrate the feasibility of the approach.},
doi = {10.1016/j.cma.2018.11.002},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 345,
place = {United States},
year = {2018},
month = {11}
}
Web of Science
Works referencing / citing this record:
Structural damage identification by sparse deep belief network using uncertain and limited data
journal, May 2020
 Ding, Zhenghao; Li, Jun; Hao, Hong
 Structural Control and Health Monitoring, Vol. 27, Issue 5