Nonlinear normal modes modal interactions and isolated resonance curves

Kuether, Robert J.; Renson, L.; Detroux, T.; Grappasonni, C.; Kerschen, G.; Allen, M. S.

doi:10.1016/j.jsv.2015.04.035

Nonlinear normal modes modal interactions and isolated resonance curves

Journal Article · Thu May 21 00:00:00 EDT 2015 · Journal of Sound and Vibration

DOI:https://doi.org/10.1016/j.jsv.2015.04.035· OSTI ID:1237470

Kuether, Robert J. ^[1]; Renson, L. ^[2]; Detroux, T. ^[2]; Grappasonni, C. ^[2]; Kerschen, G. ^[2]; Allen, M. S. ^[1]

Univ. of Wisconsin, Madison, WI (United States)
Univ. of Liege, Liege (Belgium)

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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1237470

Report Number(s):: SAND--2015-2504J; 579836

Journal Information:: Journal of Sound and Vibration, Journal Name: Journal of Sound and Vibration Journal Issue: C Vol. 351; ISSN 0022-460X

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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