Extending Normalized Gaussian Adaptive Hyperspherical Integration for Fast Computation of Accurate Unsatisfactory Performance Probability for Hydraulic Retaining Structures
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 7, Issue 4
Abstract
The probability of unsatisfactory performance (PUP) is taken into consideration during the design of the US Army Corps of Engineers hydraulic structures retaining earth. These structures possess multiple limit states. A reliability analysis of a structure is used to determine the PUP, given the variability in loads and resistances. An adaptive polar numerical integration procedure is being proposed that uses specified numerical precision and Gaussian normal distribution properties to optimize reliability calculations for PUP, providing good spatial coverage. This method uses the properties of the normalized Gaussian variable hyperspace to adjust the number of integration steps taken at each hyperspherical shell based on the overall probability of the hyperspherical shell and the desired PUP precision. Results from an example earth retaining structure problem show the normalized Gaussian adaptive hyperspherical integration method provides more accurate PUP values compared to a simulation method.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
Funds for this research were provided by the USACE Navigation Systems Research Program. Permission was granted by the Chief of Engineers to publish this information.
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Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 7 • Issue 4 • December 2021
Copyright
© 2021 Published by American Society of Civil Engineers.
History
Received: Nov 2, 2020
Accepted: Apr 15, 2021
Published online: Aug 20, 2021
Published in print: Dec 1, 2021
Discussion open until: Jan 20, 2022
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