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Application of continuation methods to nonlinear post-buckled structures

Publication ,  Journal Article
Lyman, TC; Virgin, LN; Davis, RB
Published in: Conference Proceedings of the Society for Experimental Mechanics Series
June 6, 2012

Continuation and path following methods have been applied to many nonlinear problems in mathematics and physics. There is less widespread application of these methods, however, to structural systems. Since structural buckling and stability problems are primarily concerned with system behavior as a control parameter (most often the load) varies, they are particularly well suited for continuation methods and bifurcation analysis. In this work, the continuation package AUTO is utilized to calculate post-buckled configurations, natural frequencies, and mode shapes of flat plates. Additionally, the continuation analysis identifies bifurcation points and is also adapted to plate configurations that include slight initial imperfections. Finally, the path following methods are also applied to track the unstable snap-through solution and natural frequencies of post-buckled plates subject to a transverse load. © The Society for Experimental Mechanics, Inc. 2012.

Duke Scholars

Published In

Conference Proceedings of the Society for Experimental Mechanics Series

DOI

EISSN

2191-5652

ISSN

2191-5644

Publication Date

June 6, 2012

Volume

3

Start / End Page

245 / 254
 

Citation

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Lyman, T. C., Virgin, L. N., & Davis, R. B. (2012). Application of continuation methods to nonlinear post-buckled structures. Conference Proceedings of the Society for Experimental Mechanics Series, 3, 245–254. https://doi.org/10.1007/978-1-4614-2416-1_20
Lyman, T. C., L. N. Virgin, and R. B. Davis. “Application of continuation methods to nonlinear post-buckled structures.” Conference Proceedings of the Society for Experimental Mechanics Series 3 (June 6, 2012): 245–54. https://doi.org/10.1007/978-1-4614-2416-1_20.
Lyman TC, Virgin LN, Davis RB. Application of continuation methods to nonlinear post-buckled structures. Conference Proceedings of the Society for Experimental Mechanics Series. 2012 Jun 6;3:245–54.
Lyman, T. C., et al. “Application of continuation methods to nonlinear post-buckled structures.” Conference Proceedings of the Society for Experimental Mechanics Series, vol. 3, June 2012, pp. 245–54. Scopus, doi:10.1007/978-1-4614-2416-1_20.
Lyman TC, Virgin LN, Davis RB. Application of continuation methods to nonlinear post-buckled structures. Conference Proceedings of the Society for Experimental Mechanics Series. 2012 Jun 6;3:245–254.

Published In

Conference Proceedings of the Society for Experimental Mechanics Series

DOI

EISSN

2191-5652

ISSN

2191-5644

Publication Date

June 6, 2012

Volume

3

Start / End Page

245 / 254