In this paper, we analyze nonlinear torsional vibrations of thin rectangular cross section cantilever beams undergoing moderately large base excitation within a quiescent viscous fluid. The structure is modeled as a linear Euler-Bernoulli beam while the distributed hydrodynamic loading acting on the vibrating structure is described via a nonlinear complex valued hydrodynamic function which incorporates added mass and fluid damping caused by moderately large rotations. Results of a two dimensional computational fluid dynamics parametric analysis of a pitching rigid lamina, representative of a generic beam cross section, are employed to study the dependence of the hydrodynamic function on the governing flow parameters. We find that, as the frequency and amplitude of the oscillation increase, vorticity shedding and convection increase, thus resulting into nonlinear hydrodynamic damping. We derive a tractable form for the hydrodynamic function suitable for studying the nonlinear fluid-structure interactions in large amplitude torsional underwater vibrations. We establish a reduced order nonlinear modal model based on these findings and we validate theoretical predictions against experimental results on underwater torsional vibrations of flexible cantilevers.
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ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference
October 17–19, 2012
Fort Lauderdale, Florida, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4531-8
PROCEEDINGS PAPER
Finite Amplitude Underwater Torsional Vibrations of Cantilevers
Matteo Aureli,
Matteo Aureli
Polytechnic Institute of New York University, Brooklyn, NY
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Christopher Pagano,
Christopher Pagano
Polytechnic Institute of New York University, Brooklyn, NY
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Maurizio Porfiri
Maurizio Porfiri
Polytechnic Institute of New York University, Brooklyn, NY
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Matteo Aureli
Polytechnic Institute of New York University, Brooklyn, NY
Christopher Pagano
Polytechnic Institute of New York University, Brooklyn, NY
Maurizio Porfiri
Polytechnic Institute of New York University, Brooklyn, NY
Paper No:
DSCC2012-MOVIC2012-8574, pp. 629-636; 8 pages
Published Online:
September 17, 2013
Citation
Aureli, M, Pagano, C, & Porfiri, M. "Finite Amplitude Underwater Torsional Vibrations of Cantilevers." Proceedings of the 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. pp. 629-636. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8574
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