Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, part 2: Perturbation analysis

F. Pellicano, M. Amabili, A. F. Vakakis

Research output: Contribution to journalArticlepeer-review

Abstract

The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part 1 of the present study, is studied by using a second order perturbation approach and direct simulations. Strong modal interactions are found when the structure is excited with small resonant loads. Modal interactions arise in the whole range of vibration amplitude, showing that the internal resonance condition makes the system non-linearizable even for extremely small amplitudes of oscillation. Stationary and nonstationary oscillations are observed and the complex nature of modal interactions is accurately analyzed. No chaotic motion is observed in the case of 1:1:1:2 internal resonance studied.

Original languageEnglish (US)
Pages (from-to)355-364
Number of pages10
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume122
Issue number4
DOIs
StatePublished - Oct 2000

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

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