Effective stiffening and damping enhancement of structures with strongly nonlinear local attachments

Themistoklis P. Sapsis, Dane D. Quinn, Alexander F. Vakakis, Lawrence A. Bergman

Research output: Contribution to journalArticle

Abstract

We study the stiffening and damping effects that local essentially nonlinear attachments can have on the dynamics of a primary linear structure. These local attachments can be designed to act as nonlinear energy sinks (NESs) of shock-induced energy by engaging in isolated resonance captures or resonance capture cascades with structural modes. After the introduction of the NESs, the effective stiffness and damping properties of the structure are characterized through appropriate measures, developed within this work, which are based on the energy contained within the modes of the primary structure. Three types of NESs are introduced in this work, and their effects on the stiffness and damping properties of the linear structure are studied via (local) instantaneous and (global) weighted-averaged effective stiffness and damping measures. Three different applications are considered and show that these attachments can drastically increase the effective damping properties of a two-degrees-of- freedom system and, to a lesser degree, the stiffening properties as well. An interesting finding reported herein is that the essentially nonlinear attachments can introduce significant nonlinear coupling between distinct structural modes, thus paving the way for nonlinear energy redistribution between structural modes. This feature, coupled with the well-established capacity of NESs to passively absorb and locally dissipate shock energy, can be used to create effective passive mitigation designs of structures under impulsive loads.

Original languageEnglish (US)
Article number011016
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume134
Issue number1
DOIs
StatePublished - Jan 18 2012

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stiffening
attachment
Damping
damping
augmentation
sinks
Stiffness
stiffness
energy
Degrees of freedom (mechanics)
shock
cascades
degrees of freedom

Keywords

  • nonlinear damping enhancement
  • nonlinear energy sink
  • nonlinear stiffening

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Effective stiffening and damping enhancement of structures with strongly nonlinear local attachments. / Sapsis, Themistoklis P.; Quinn, Dane D.; Vakakis, Alexander F.; Bergman, Lawrence A.

In: Journal of Vibration and Acoustics, Transactions of the ASME, Vol. 134, No. 1, 011016, 18.01.2012.

Research output: Contribution to journalArticle

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