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A two-step methodology to apply low-discrepancy sequences in reliability assessment of structural dynamic systems

Authors
  • Xu, Jun1
  • Wang, Ding2
  • 1 Hunan University, Department of Structural Engineering, College of Civil Engineering & Hunan Provincial Key Lab on Damage Diagnosis for Engineering Structures, Changsha, 410082, People’s Republic of China , Changsha (China)
  • 2 Yanshan University, School of Civil Engineering & Mechanics, Qinhuangdao, People’s Republic of China , Qinhuangdao (China)
Type
Published Article
Journal
Structural and Multidisciplinary Optimization
Publisher
Springer-Verlag
Publication Date
Oct 26, 2017
Volume
57
Issue
4
Pages
1643–1662
Identifiers
DOI: 10.1007/s00158-017-1834-x
Source
Springer Nature
Keywords
License
Yellow

Abstract

This study introduces various low-discrepancy sequences and then develops a new methodology for reliability assessment for structural dynamic systems. In this methodology, a two-step algorithm is first proposed, in which the most uniformly scattered point set among the low-discrepancy sequences is selected according to the centered L2-discrepancy (CL2 discrepancy) and then rearranged to minimize the generalized F-discrepancy (GF discrepancy). After that, the developed point set is incorporated into the maximum entropy method to capture the fractional moments for deriving the extreme value distribution for reliability assessment of structural dynamic systems. Numerical examples are investigated, where the results are compared with those obtained from Monte Carlo simulations, demonstrating the accuracy and efficiency of the proposed methodology.

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