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Title: Nonlinear normal modes modal interactions and isolated resonance curves

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.
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  1. Univ. of Wisconsin, Madison, WI (United States)
  2. Univ. of Liege, Liege (Belgium)
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0022-460X; 579836
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Journal of Sound and Vibration
Additional Journal Information:
Journal Volume: 351; Journal Issue: C; Journal ID: ISSN 0022-460X
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
42 ENGINEERING; nonlinear normal modes; modal interaction; nonlinear forced response; isolated resonance curves; fold bifurcations