Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes

L. Renson, D. A. Ehrhardt, D. A.W. Barton, S. A. Neild, J. E. Cooper

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

3 Citations (Scopus)
91 Downloads (Pure)

Abstract

This paper numerically and experimentally investigates the relationship between the nonlinear normal modes and the forced response of a clamped-clamped cross beam structure. The system possesses closely-spaced linear modes such that the applied force distribution across the structure plays a central role in the appropriation of the nonlinear normal modes. Numerical simulations show that the quadrature conditions of the forced response does not necessarily match the peak response nor the nonlinear normal modes of the underlying conservative system, but instead are dependent upon the applied excitation. Experimental investigations performed with a single-point excitation and control based continuation further demonstrate the necessity for appropriate forcing in order to extract the NNMs of such systems.

Original languageEnglish
Title of host publicationProceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics
PublisherK U Leuven
Pages2775-2784
Number of pages10
ISBN (Electronic)9789073802940
Publication statusPublished - 19 Sep 2016
Event27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016 - Leuven, Belgium
Duration: 19 Sep 201621 Sep 2016

Conference

Conference27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016
CountryBelgium
CityLeuven
Period19/09/1621/09/16

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