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

Catherine N. Phan; Matteo Aureli; Maurizio Porfiri

doi:10.1016/j.jfluidstructs.2013.03.013

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

Catherine N. Phan, Matteo Aureli, Maurizio Porfiri

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	52-69
Number of pages	18
Journal	Journal of Fluids and Structures
Volume	40
DOIs	https://doi.org/10.1016/j.jfluidstructs.2013.03.013
State	Published - Jul 2013

Keywords

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

ASJC Scopus subject areas

Mechanical Engineering

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10.1016/j.jfluidstructs.2013.03.013

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abstract = "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.",

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AU - Aureli, Matteo

AU - Porfiri, Maurizio

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KW - Nonlinear vibrations

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KW - Underwater vibrations

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