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

^*Corresponding author for this work

Institute for Risk and Reliability

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

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 Services, Singapore
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
Publication status	Published - 2024
Event	8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 - Hannover, Germany Duration: 4 Sept 2022 → 7 Sept 2022

Conference

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

Keywords

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

ASJC Scopus subject areas

Management Science and Operations Research
Safety, Risk, Reliability and Quality

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). Research Publishing Services, Singapore. 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 Services, Singapore, 2024. pp. 502-506

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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",

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",

}

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. Research Publishing Services, Singapore, pp. 502-506, 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, Hannover, Germany, 4 Sept 2022. 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 Services, Singapore, 2024. p. 502-506.

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

TY - GEN

T1 - Estimation of Second-order Statistics of Buckling Loads Applying Linear and Nonlinear Analysis

AU - Fina, Marc

AU - Faes, Matthias G.R.

AU - Valdebenito, Marcos A.

AU - Wagner, Werner

AU - Broggi, Matteo

AU - Beer, Michael

AU - Freitag, Steffen

PY - 2024

Y1 - 2024

N2 - 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.

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.

KW - buckling load

KW - control variates

KW - linearized analysis

KW - nonlinear analysis

KW - second-order statistics

UR - https://www.scopus.com/pages/publications/85192706636

U2 - 10.3850/978-981-18-5184-1_MS-15-145-cd

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

M3 - Conference contribution

AN - SCOPUS:85192706636

SN - 9789811851841

SP - 502

EP - 506

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

A2 - Beer, Michael

A2 - Zio, Enrico

A2 - Phoon, Kok-Kwang

A2 - Ayyub, Bilal M.

PB - Research Publishing Services, Singapore

T2 - 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022

Y2 - 4 September 2022 through 7 September 2022

ER -

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 Services, Singapore. 2024. p. 502-506 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

Abstract

Conference

Keywords

ASJC Scopus subject areas

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