TY - JOUR
T1 - Finite amplitude vibrations of cantilevers of rectangular cross sections in viscous fluids
AU - Phan, Catherine N.
AU - Aureli, Matteo
AU - Porfiri, Maurizio
N1 - Funding Information:
This material is based upon work supported by the Office of Naval Research under Grant no. N00014-10-1-0988 with Dr. Y.D.S. Rajapakse as the program manager. Views expressed herein are those of the authors and not of the funding agencies. The authors would like to thank the anonymous reviewers for their careful reading of the paper and for giving useful suggestions that have helped improve the work and its presentation.
PY - 2013/7
Y1 - 2013/7
N2 - 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.
AB - 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.
KW - Beam flexural vibrations
KW - Computational fluid dynamics
KW - Hydrodynamic function
KW - Nonlinear vibrations
KW - Rectangular cross sections
KW - Underwater vibrations
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U2 - 10.1016/j.jfluidstructs.2013.03.013
DO - 10.1016/j.jfluidstructs.2013.03.013
M3 - Article
AN - SCOPUS:84879844457
VL - 40
SP - 52
EP - 69
JO - Journal of Fluids and Structures
JF - Journal of Fluids and Structures
SN - 0889-9746
ER -