Practical design of a nonlinear tuned vibration absorber

C. Grappasonni, G. Habib, T. Detroux, Fengwen Wang, G. Kerschen, Jakob Søndergaard Jensen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

The aim of the paper is to develop a new nonlinear tuned vibration absorber (NLTVA) capable of mitigating the vibrations of nonlinear systems which are known to exhibit frequency-energy-dependent oscillations. A nonlinear generalization of Den Hartog's equal-peak method is proposed to ensure equal peaks in the nonlinear frequency response for a large range of forcing amplitudes. An analytical tuning procedure is developed and provides the load-deflection characteristic of the NLTVA. Based on this prescribed relation, the NLTVA design is performed by two different approaches, namely thanks to (i) analytical formulas of uniform cantilever and doubly-clamped beams and (ii) numerical shape optimization of beams with varying width and thickness. A primary system composed of a cantilever beam with a geometrically nonlinear component at its free end serves to illustrate the proposed methodology.
Original languageEnglish
Title of host publication Proceedings of International Conference on Noise and Vibration Engineering (isma2014) and International Conference on Uncertainty in Structural Dynamics (usd2014)
PublisherKatholieke Universiteit Leuven
Publication date2014
Pages3029-3046
Publication statusPublished - 2014
EventInternational Conference on Noise and Vibration Engineering (ISMA 2014) and International Conference on Uncertainty in Structural Dynamics (USD 2014) - Leuven, Belgium
Duration: 15 Sep 201419 Sep 2014

Conference

ConferenceInternational Conference on Noise and Vibration Engineering (ISMA 2014) and International Conference on Uncertainty in Structural Dynamics (USD 2014)
CountryBelgium
CityLeuven
Period15/09/201419/09/2014

Cite this

Grappasonni, C., Habib, G., Detroux, T., Wang, F., Kerschen, G., & Jensen, J. S. (2014). Practical design of a nonlinear tuned vibration absorber. In Proceedings of International Conference on Noise and Vibration Engineering (isma2014) and International Conference on Uncertainty in Structural Dynamics (usd2014) (pp. 3029-3046). Katholieke Universiteit Leuven.