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

Marc Fina; Matthias G.R. Faes; Marcos A. Valdebenito; Werner Wagner; Matteo Broggi; Michael Beer; Steffen Freitag

doi:10.3850/978-981-18-5184-1_MS-15-145-cd

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

Marc Fina, Matthias G.R. Faes, Marcos A. Valdebenito, Werner Wagner, Matteo Broggi, Michael Beer, Steffen Freitag

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

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.

Original language	English
Title of host publication	Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
Editors	Michael Beer, Enrico Zio, Kok-Kwang Phoon, Bilal M. Ayyub
Publisher	Research Publishing
Pages	502-506
Number of pages	5
ISBN (Print)	9789811851841
DOIs	https://doi.org/10.3850/978-981-18-5184-1_MS-15-145-cd
State	Published - 2024
Externally published	Yes
Event	8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 - Hannover, Germany Duration: 4 Sep 2022 → 7 Sep 2022

Publication series

Name	Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022

Conference

Conference	8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
Country/Territory	Germany
City	Hannover
Period	4/09/22 → 7/09/22

Keywords

buckling load
control variates
linearized analysis
nonlinear analysis
second-order statistics

Access to Document

10.3850/978-981-18-5184-1_MS-15-145-cd

Cite this

Fina, M., Faes, M. G. R., Valdebenito, M. A., Wagner, W., Broggi, M., Beer, M., & Freitag, S. (2024). Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis. In M. Beer, E. Zio, K.-K. Phoon, & B. M. Ayyub (Eds.), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 (pp. 502-506). (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022). Research Publishing. https://doi.org/10.3850/978-981-18-5184-1_MS-15-145-cd

Fina, Marc ; Faes, Matthias G.R. ; Valdebenito, Marcos A. et al. / Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis. Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. editor / Michael Beer ; Enrico Zio ; Kok-Kwang Phoon ; Bilal M. Ayyub. Research Publishing, 2024. pp. 502-506 (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022).

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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",

series = "Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022",

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Fina, M, Faes, MGR, Valdebenito, MA, Wagner, W, Broggi, M, Beer, M & Freitag, S 2024, Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis. in M Beer, E Zio, K-K Phoon & BM Ayyub (eds), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, Research Publishing, pp. 502-506, 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, Hannover, Germany, 4/09/22. https://doi.org/10.3850/978-981-18-5184-1_MS-15-145-cd

Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis. / Fina, Marc; Faes, Matthias G.R.; Valdebenito, Marcos A. et al.
Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. ed. / Michael Beer; Enrico Zio; Kok-Kwang Phoon; Bilal M. Ayyub. Research Publishing, 2024. p. 502-506 (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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BT - Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022

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Fina M, Faes MGR, Valdebenito MA, Wagner W, Broggi M, Beer M et al. Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis. In Beer M, Zio E, Phoon KK, Ayyub BM, editors, Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. Research Publishing. 2024. p. 502-506. (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022). doi: 10.3850/978-981-18-5184-1_MS-15-145-cd

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

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