Elimination of the Stops Because of Failure of Nonlinear Solutions in Nonlinear Seismic Time History Analysis

verfasst von: Aram Soroushian, Peter Wriggers
Abstract: Purpose: For analyzing structures’ nonlinear dynamic behaviors, it is broadly accepted to use time integration methods and model the nonlinearities using iterative methods. The iterations may however fail. With attention to the sources of computational errors, in 2015 and 2022, the authors proposed continuation of the analysis, even when the iteration fails, and briefly discussed the accuracy and efficiency. In this paper, the proposed change is discussed further, in application to analysis, according to the seismic code of New Zealand, NZS 1170.5:2004, the unique seismic code with established analysis procedure for nonlinear time history analysis. The purpose is to study how the proposed change affects the response accuracy, and the analysis efficiency and simplicity. Method: Based on the analysis procedure in the seismic code of New Zealand, a new procedure that considers the proposed change is suggested. Using the new procedure, the effects of the change on the features of the analysis is discussed through theoretical discussions and piece-wisely linear examples. The limitations, conceivable generalizations, and challenges ahead are discussed, and a vision for the future is provided. Results and Conclusion: As the result, the proposed changes lead to sufficiently accurate responses and analyses simpler and mostly more efficient compared to the ordinary analyses. Besides, not only the improvement in efficiency may be considerable, but also no negative effects on the efficiency are observed. The achievements are important, also because of indirectly encouraging the structural engineers to make more use of nonlinear time history analysis. It is finally recommended to use the new procedure for the analysis of piece-wisely linear systems, when the nonlinearities are modelled using fractional time stepping.
Organisationseinheit(en): Institut für Kontinuumsmechanik
Externe Organisation(en): International Institute of Earthquake Engineering and Seismology (IIEES)
Typ: Artikel
Journal: Journal of Vibration Engineering and Technologies
Band: 11
Seiten: 2831-2849
Anzahl der Seiten: 19
ISSN: 2523-3920
Publikationsdatum: 09.2023
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Akustik und Ultraschall, Maschinenbau
Elektronische Version(en): https://doi.org/10.1007/s42417-023-00968-8 (Zugang: Geschlossen)
: Details im Forschungsportal „Research@Leibniz University“

BibTeX

@article{fe9fff5c5e0b4d1689e18218c9803240,
title = "Elimination of the Stops Because of Failure of Nonlinear Solutions in Nonlinear Seismic Time History Analysis",
abstract = "Purpose: For analyzing structures{\textquoteright} nonlinear dynamic behaviors, it is broadly accepted to use time integration methods and model the nonlinearities using iterative methods. The iterations may however fail. With attention to the sources of computational errors, in 2015 and 2022, the authors proposed continuation of the analysis, even when the iteration fails, and briefly discussed the accuracy and efficiency. In this paper, the proposed change is discussed further, in application to analysis, according to the seismic code of New Zealand, NZS 1170.5:2004, the unique seismic code with established analysis procedure for nonlinear time history analysis. The purpose is to study how the proposed change affects the response accuracy, and the analysis efficiency and simplicity. Method: Based on the analysis procedure in the seismic code of New Zealand, a new procedure that considers the proposed change is suggested. Using the new procedure, the effects of the change on the features of the analysis is discussed through theoretical discussions and piece-wisely linear examples. The limitations, conceivable generalizations, and challenges ahead are discussed, and a vision for the future is provided. Results and Conclusion: As the result, the proposed changes lead to sufficiently accurate responses and analyses simpler and mostly more efficient compared to the ordinary analyses. Besides, not only the improvement in efficiency may be considerable, but also no negative effects on the efficiency are observed. The achievements are important, also because of indirectly encouraging the structural engineers to make more use of nonlinear time history analysis. It is finally recommended to use the new procedure for the analysis of piece-wisely linear systems, when the nonlinearities are modelled using fractional time stepping.",
keywords = "Analysis efficiency, Iterative nonlinear solution, Nonlinear time history analysis, NZS 1170.5:2004, Piece-wisely linear systems, Simplicity of analysis",
author = "Aram Soroushian and Peter Wriggers",
note = "Funding Information: The authors are grateful for the reviewers{\textquoteright} comments, which have caused significant improvements in the paper. The role of the editorial team in quickly reviewing the paper and editing it nicely is appreciated, as well. The helps of Mr. Hamid Doostie in the random selections in Table is also appreciated. Finally, the first author acknowledges the financial support of the International Institute of Earthquake Engineering and Seismology (IIEES) in relation to the Projects 7420, 7528, and 7711.",
year = "2023",
month = sep,
doi = "10.1007/s42417-023-00968-8",
language = "English",
volume = "11",
pages = "2831--2849",
journal = "Journal of Vibration Engineering and Technologies",
issn = "2523-3920",
publisher = "Krishtel eMaging Solutions",
number = "6",
}