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An Improvement of Port-Hamiltonian Model of Fluid Sloshing Coupled by Structure Motion

1
Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
2
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Water 2018, 10(12), 1721; https://doi.org/10.3390/w10121721
Received: 2 November 2018 / Revised: 16 November 2018 / Accepted: 21 November 2018 / Published: 24 November 2018
(This article belongs to the Special Issue Pipeline Fluid Mechanics)
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PDF [2598 KB, uploaded 24 November 2018]
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Abstract

The fluid–solid interaction is an interesting topic in numerous engineering applications. In this paper, the fluid–solid interaction is considered in a vessel attached to the free tip of a cantilever beam. Governing coupled equations of the system include the Euler–Bernoulli equation for bending of a beam, torsion of a beam, 2-D motion of the rigid vessel, and rotating shallow water equation of fluid sloshing in the vessel. As an essential portion in the numerical simulation of the vibration control of this fluid–plate system is the accurate modeling of sloshing; the partial differential equations of the system are modified by approximation of velocity profile. The suggested method is validated by experimental results of a piezoelectric actuated clamped rectangular plate holding a cylindrical vessel. These sloshing interactions with elastic test cases illustrate the mass conservative characteristics of the method as well as its stability in a prompt change of the vessel situations. View Full-Text
Keywords: vibration suppression; fluid–sloid interaction; control; sloshing; partial differential equation vibration suppression; fluid–sloid interaction; control; sloshing; partial differential equation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Abdollahzadeh Jamalabadi, M.Y. An Improvement of Port-Hamiltonian Model of Fluid Sloshing Coupled by Structure Motion. Water 2018, 10, 1721.

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