Advances In Uncertainty Quantification And Inverse Problems In Computational Mechanics
Loading...
Files
No Access Until
Permanent Link(s)
Collections
Other Titles
Authors
Abstract
This dissertation is composed of three chapters, each of which addresses a specific topic and has been, or is in the process of being published in a research journal. Though relatively diverse, the topics in each chapter fall broadly under the theme of advancing research in uncertainty quantification and inverse problems within the field of computational mechanics. The first chapter is based on the stochastic reduced order model (SROM) concept for propagating uncertainty in engineering simulations. Here, the algorithm for constructing SROMs of random vectors is modified and significantly enhanced, yielding more accurate models in substantially less computational time. The second chapter focusses on inverse material identification in coupled acoustic-structure interaction (ASI) systems using either solid displacement or fluid pressure measurement data. This work represents the first time the modified error in constitutive equation (MECE) approach for inverse problems has been formulated and applied to elasticity imaging problems in ASI. Finally, the third chapter combines elements of the first two chapters and presents a novel approach to solve inverse problems under uncertainty using SROMs. The method provides a practical and efficient means of incorporating the effects of model and measurement uncertainties in inverse estimates of unknown system parameters. At the beginning of each chapter there is a separate abstract that has been prepared for the respective journal publication that introduces each project in detail.
Journal / Series
Volume & Issue
Description
Sponsorship
Date Issued
2014-05-25
Publisher
Keywords
Inverse problems; uncertainty quantification; computational mechanics
Location
Effective Date
Expiration Date
Sector
Employer
Union
Union Local
NAICS
Number of Workers
Committee Chair
Grigoriu, Mircea Dan
Committee Co-Chair
Committee Member
Bindel, David S.
Aquino, Wilkins
Aquino, Wilkins
Degree Discipline
Civil and Environmental Engineering
Degree Name
Ph. D., Civil and Environmental Engineering
Degree Level
Doctor of Philosophy
Related Version
Related DOI
Related To
Related Part
Based on Related Item
Has Other Format(s)
Part of Related Item
Related To
Related Publication(s)
Link(s) to Related Publication(s)
References
Link(s) to Reference(s)
Previously Published As
Government Document
ISBN
ISMN
ISSN
Other Identifiers
Rights
Rights URI
Types
dissertation or thesis