Nonlinear normal modes modal interactions and isolated resonance curves
Abstract
The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system. To this end, an energy balance technique is used to predict the amplitude of the harmonic forcing that is necessary to excite a specific nonlinear normal mode. A cantilever beam with a nonlinear spring at its tip serves to illustrate the developments. Furthermore, the practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.
- Authors:
-
- Univ. of Wisconsin, Madison, WI (United States)
- Univ. of Liege, Liege (Belgium)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1237470
- Report Number(s):
- SAND-2015-2504J
Journal ID: ISSN 0022-460X; 579836
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Sound and Vibration
- Additional Journal Information:
- Journal Volume: 351; Journal Issue: C; Journal ID: ISSN 0022-460X
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; nonlinear normal modes; modal interaction; nonlinear forced response; isolated resonance curves; fold bifurcations
Citation Formats
Kuether, Robert J., Renson, L., Detroux, T., Grappasonni, C., Kerschen, G., and Allen, M. S. Nonlinear normal modes modal interactions and isolated resonance curves. United States: N. p., 2015.
Web. doi:10.1016/j.jsv.2015.04.035.
Kuether, Robert J., Renson, L., Detroux, T., Grappasonni, C., Kerschen, G., & Allen, M. S. Nonlinear normal modes modal interactions and isolated resonance curves. United States. https://doi.org/10.1016/j.jsv.2015.04.035
Kuether, Robert J., Renson, L., Detroux, T., Grappasonni, C., Kerschen, G., and Allen, M. S. Thu .
"Nonlinear normal modes modal interactions and isolated resonance curves". United States. https://doi.org/10.1016/j.jsv.2015.04.035. https://www.osti.gov/servlets/purl/1237470.
@article{osti_1237470,
title = {Nonlinear normal modes modal interactions and isolated resonance curves},
author = {Kuether, Robert J. and Renson, L. and Detroux, T. and Grappasonni, C. and Kerschen, G. and Allen, M. S.},
abstractNote = {The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system. To this end, an energy balance technique is used to predict the amplitude of the harmonic forcing that is necessary to excite a specific nonlinear normal mode. A cantilever beam with a nonlinear spring at its tip serves to illustrate the developments. Furthermore, the practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.},
doi = {10.1016/j.jsv.2015.04.035},
journal = {Journal of Sound and Vibration},
number = C,
volume = 351,
place = {United States},
year = {Thu May 21 00:00:00 EDT 2015},
month = {Thu May 21 00:00:00 EDT 2015}
}
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