Full Content is available to subscribers

Subscribe/Learn More  >

Finite Amplitude Vibrations of Square Cross Section Beams in Viscous Fluids

[+] Author Affiliations
Catherine N. Phan, Maurizio Porfiri

Polytechnic Institute of New York University, Brooklyn, NY

Paper No. DSCC2012-MOVIC2012-8675, pp. 661-668; 8 pages
  • ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference
  • Volume 3: Renewable Energy Systems; Robotics; Robust Control; Single Track Vehicle Dynamics and Control; Stochastic Models, Control and Algorithms in Robotics; Structure Dynamics and Smart Structures; Surgical Robotics; Tire and Suspension Systems Modeling; Vehicle Dynamics and Control; Vibration and Energy; Vibration Control
  • Fort Lauderdale, Florida, USA, October 17–19, 2012
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4531-8
  • Copyright © 2012 by ASME


In this paper, we investigate the flexural vibrations of a cantilever beam of square cross section that is immersed in a quiescent viscous fluid. The cantilever beam is subject to base excitations with oscillation amplitudes comparable to the beam thickness. The structure is modeled using linear Euler-Bernoulli beam theory and the fluid-structure interaction is described via a nonlinear complex-valued hydrodynamic function which accounts for the added mass and damping contribution from the encompassing fluid. We formulate a hydrodynamic function that is appropriate for finite vibration amplitudes and a broad range of frequencies by conducting a 2D parametric computational fluid dynamics analysis. The proposed function is expressed in terms of the classical hydrodynamic function for unsteady Stokes flow plus a nonlinear correction that is a function of amplitude and frequency of vibration. Results from the 2D parametric analysis shows that moderately large amplitude oscillations promote nonlinear hydrodynamic damping. The proposed theoretical model is illustrated through the analysis of underwater vibrations and theoretical results are compared with experimental findings.

Copyright © 2012 by ASME
Topics: Fluids , Vibration



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In