Numerical and experimental study of nonlinear localization in a flexible structure with vibro-impacts

E. Emaci, T. A. Nayfeh, A. F. Vakakis

Research output: Contribution to journalArticle

Abstract

In this work a numerical and experimental study of nonlinear motion confinement phenomena in a nonlinear flexible assembly with vibro-impacts is carried out. The assembly consists of two coupled cantilever beams whose motion is constrained by rigid barriers. In the theoretical model the impact nonlinearities are simulated by clearance nonlinearities with steep stiffness characteristics; special care is taken to model energy dissipation due to inelastic impacts. The theoretical results confirm that the vibro-impact system possess motion confinement properties. Both transient and steady state motions are studied, and it is shown that under certain conditions the vibrational energy of the system is passively confined to only one of the two beams. These essentially nonlinear responses exist inspite of direct coupling between the two beams, and have no analogs in linear theory. The experimental results confirm the theoretical predictions both in the transient and steady state regimes. The passive nonlinear motion confinement phenomena reported in this and previous works can be utilized to enhance the controllability of flexible structures with symmetries, and to improve current shock and vibration isolation designs of such systems.

Original languageEnglish (US)
Pages (from-to)527-541
Number of pages15
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume77
Issue number7
StatePublished - 1997
Externally publishedYes

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Flexible Structure
Flexible structures
Numerical Study
Experimental Study
Motion
Cantilever beams
Controllability
Transient State
Energy dissipation
Stiffness
Nonlinearity
Vibration Isolation
Cantilever Beam
Nonlinear Response
Energy Dissipation
Clearance
Theoretical Model
Shock
Analogue
Symmetry

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mechanics

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Numerical and experimental study of nonlinear localization in a flexible structure with vibro-impacts. / Emaci, E.; Nayfeh, T. A.; Vakakis, A. F.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 77, No. 7, 1997, p. 527-541.

Research output: Contribution to journalArticle

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