Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis

authored by: Marc Fina, Matthias G.R. Faes, Marcos A. Valdebenito, Werner Wagner, Matteo Broggi, Michael Beer, Steffen Freitag
Abstract: This paper presents an approach for estimating second-order statistics of the buckling load of structural systems subject to randomness. The proposed approach is based on sampling and it exploits the correlation existing between buckling loads calculated by means of linearized and nonlinear buckling analysis under the framework provided by control variates. Such strategy allows producing estimates of second-order statistics with improved precision. A numerical example illustrates the advantages of the proposed framework.
Organisation(s): Institute for Risk and Reliability
External Organisation(s): Karlsruhe Institute of Technology (KIT)
TU Dortmund University
KU Leuven
Universidad Adolfo Ibanez
Type: Conference contribution
Pages: 502-506
No. of pages: 5
Publication date: 2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Management Science and Operations Research, Safety, Risk, Reliability and Quality
Electronic version(s): https://doi.org/10.3850/978-981-18-5184-1_MS-15-145-cd (Access: Closed)

BibTeX

@inproceedings{cd98b8182e5c4e3996a6e33ca4e171b3,
title = "Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis",
abstract = "This paper presents an approach for estimating second-order statistics of the buckling load of structural systems subject to randomness. The proposed approach is based on sampling and it exploits the correlation existing between buckling loads calculated by means of linearized and nonlinear buckling analysis under the framework provided by control variates. Such strategy allows producing estimates of second-order statistics with improved precision. A numerical example illustrates the advantages of the proposed framework.",
keywords = "buckling load, control variates, linearized analysis, nonlinear analysis, second-order statistics",
author = "Marc Fina and Faes, {Matthias G.R.} and Valdebenito, {Marcos A.} and Werner Wagner and Matteo Broggi and Michael Beer and Steffen Freitag",
note = "Publisher Copyright: {\textcopyright} 2022 ISRERM Organizers. Published by Research Publishing, Singapore.; 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 ; Conference date: 04-09-2022 Through 07-09-2022",
year = "2024",
doi = "10.3850/978-981-18-5184-1_MS-15-145-cd",
language = "English",
isbn = "9789811851841",
pages = "502--506",
editor = "Michael Beer and Enrico Zio and Kok-Kwang Phoon and Ayyub, {Bilal M.}",
booktitle = "Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022",
publisher = "Research Publishing Services, Singapore",
}