Nonlinear normal modes, modal interactions and isolated resonance curves. (1st September 2015)

• Record Type: Journal Article
• Authors: Kuether, R.J.; Renson, L.; Detroux, T.; Grappasonni, C.; Kerschen, G.; Allen, M.S.
• Is Part Of: Journal of sound and vibration. Volume 351(2015)
• Page Start: 299
• Page End: 310
• Publication Date: 2015-09-01
• Subjects: Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2015.04.035
• Languages: English
• ISSNs: 0022-460X

Abstract

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.