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Abstract
Backbone curves describe the steady-state responses of unforced, undamped systems, therefore they do not directly relate to any specific forcing and damping configuration. Nevertheless, they can be used to understand the underlying dynamics of nonlinear systems subjected to forcing and damping. Building on this concept, in this paper we describe an analytical technique used to predict the onset of internally-resonant modal interactions in an example system. In conjunction with backbone curve analysis, which can be used to predict the possibility of internally-resonant behaviour, this approach provides an analytical tool for understanding and quantifying internally-resonant regions in the forced responses.
Original language | English |
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Title of host publication | Nonlinear Dynamics, Volume 1 |
Subtitle of host publication | Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015 |
Editors | Gaëtan Kerschen |
Publisher | Springer |
Pages | 113-122 |
Number of pages | 10 |
ISBN (Electronic) | 9783319152219 |
ISBN (Print) | 9783319152202 |
DOIs | |
Publication status | Published - 14 Aug 2015 |
Event | 33rd IMAC Conference and Exposition on Structural Dynamics, 2015 - Orlando, FL, United States Duration: 2 Feb 2015 → 5 Feb 2015 |
Publication series
Name | Conference Proceedings of the Society for Experimental Mechanics Series |
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Publisher | Springer |
ISSN (Print) | 2191-5644 |
Conference
Conference | 33rd IMAC Conference and Exposition on Structural Dynamics, 2015 |
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Country/Territory | United States |
City | Orlando, FL |
Period | 2/02/15 → 5/02/15 |
Keywords
- Backbone curves
- Second-order normal forms
- Modal analysis
- Modal interaction
- Modal reduction
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Dive into the research topics of 'Relating Backbone Curves to the Forced Responses of Nonlinear Systems'. Together they form a unique fingerprint.Projects
- 1 Finished
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Dynamic design tools for understanding and exploiting nonlinearity in structures
1/02/13 → 31/07/18
Project: Research