Response Bounds of Elastic Structures in the Presence of Interval Uncertainties
Publication: Journal of Structural Engineering
Volume 141, Issue 12
Abstract
A mathematical-programming (MP)-based approach is proposed to directly determine the two extreme [(1) minimum, and (2) maximum] bounds of some static response quantity for elastic structures subject to the simultaneous application of interval applied forces and interval elastic material properties. Such a direct determination scheme reformulates the interval finite-element (FE) analysis into a pair of standard nonlinear programming (NLP) problems that can be solved by any available NLP code. Not only does the proposed method advantageously bypass any computationally expensive combinatorial searches to capture the response limits, but it can also directly accommodate any dependency in the interval data. Some examples are presented to illustrate the robustness and efficiency of the method.
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Acknowledgments
The research reported in this paper was supported by Australian Research Council through its Discovery Project Scheme. The reviewers are thanked for their constructive comments on a previous version of the paper.
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Published In
Journal of Structural Engineering
Volume 141 • Issue 12 • December 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jul 16, 2014
Accepted: Jan 26, 2015
Published online: Mar 12, 2015
Discussion open until: Aug 12, 2015
Published in print: Dec 1, 2015
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