Finite amplitude vibrations of cantilevers of rectangular cross sections in viscous fluids

Catherine N. Phan, Matteo Aureli, Maurizio Porfiri

Research output: Contribution to journalArticlepeer-review


In this paper, we study finite amplitude vibrations of a cantilever beam of rectangular cross section immersed in a viscous fluid under harmonic base excitation. Fluid-structure interactions are modeled through a complex hydrodynamic function that describes added mass and damping effects in response to moderately large oscillation amplitudes. The hydrodynamic function is identified from the analysis of the two-dimensional flow physics generated by a rigid rectangle undergoing harmonic oscillations in a quiescent fluid. Computational fluid dynamics is used to investigate the effects of three salient non-dimensional parameters on the flow physics and inform the formulation of a tractable expression for the hydrodynamic function. Theoretical results are validated against experimental findings on underwater vibration of compliant beams of varying cross sections.

Original languageEnglish (US)
Pages (from-to)52-69
Number of pages18
JournalJournal of Fluids and Structures
StatePublished - Jul 2013


  • Beam flexural vibrations
  • Computational fluid dynamics
  • Hydrodynamic function
  • Nonlinear vibrations
  • Rectangular cross sections
  • Underwater vibrations

ASJC Scopus subject areas

  • Mechanical Engineering


Dive into the research topics of 'Finite amplitude vibrations of cantilevers of rectangular cross sections in viscous fluids'. Together they form a unique fingerprint.

Cite this