Nonlinear normal modes, modal interactions and isolated resonance curves

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

doi:10.1016/j.jsv.2015.04.035

Nonlinear normal modes, modal interactions and isolated resonance curves

R. J. Kuether, L. Renson^*, T. Detroux, C. Grappasonni, G. Kerschen, M. S. Allen

^*Corresponding author for this work

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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. The practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.

Original language	English
Pages (from-to)	299-310
Number of pages	12
Journal	Journal of Sound and Vibration
Volume	351
Early online date	29 Apr 2015
DOIs	https://doi.org/10.1016/j.jsv.2015.04.035
Publication status	Published - 1 Sep 2015

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Cite this

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AU - Kuether, R. J.

AU - Renson, L.

AU - Detroux, T.

AU - Grappasonni, C.

AU - Kerschen, G.

AU - Allen, M. S.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - 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. The practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.

AB - 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. The practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.

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SP - 299

EP - 310

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

ER -

Nonlinear normal modes, modal interactions and isolated resonance curves

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