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Hydrodynamic coupling of two sharp-edged beams vibrating in a viscous fluid
Carmela Intartaglia1, Leonardo Soria2, Maurizio Porfiri3
1Department of Mechanical and Aerospace Engineering , Polytechnic Institute of New York University , Six MetroTech Center, Brooklyn, NY 11201, USA ; Dipartimento di Meccanica , Matematica e Management , Politecnico di Bari, Viale Japigia 182, 70126 Bari, Italy.
Proceedings. Mathematical, Physical, and Engineering Sciences
|February 11, 2014
Summary
This study examines how two beams vibrating in fluid affect each other. It reveals that hydrodynamic coupling, influenced by relative motion, is crucial for understanding arrays of flexible structures.
Area of Science:
- Fluid dynamics
- Mechanical vibrations
- Hydroelasticity
Background:
- Most research focuses on isolated structures in fluids.
- Hydrodynamic coupling between structures is common in engineering and nature.
- Interacting structures experience loading influenced by relative motion.
Purpose of the Study:
- To investigate flexural vibrations of two fluid-coupled beams.
- To analyze hydrodynamic loading considering relative motion.
- To validate a theoretical model with experimental data.
Main Methods:
- Utilizing unsteady Stokes hydrodynamics for fluid flow.
- Developing a boundary integral formulation for hydrodynamic functions.
- Conducting experiments with underwater base-excited cantilevers.
Main Results:
- Demonstrated the impact of hydrodynamic coupling on beam vibrations.
- Validated the theoretical model across various configurations.
- Quantified fluid effects based on non-dimensional parameters.
Conclusions:
- The proposed model accurately captures fluid-structure interactions for coupled beams.
- Understanding hydrodynamic coupling is essential for predicting the behavior of flexible structure arrays.
- Experimental validation confirms the model's applicability in real-world scenarios.
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