Closed-Form Modeling of Fluid-Structure Interaction with Nonlinear Sloshing: Potential Flow

AIAA Journal ◽  
1997 ◽  
Vol 35 (9) ◽  
pp. 1510-1517 ◽  
Author(s):  
Jose L. Ortiz ◽  
Alan A. Barhorst
Keyword(s):  
Closed Form ◽  
Potential Flow ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Nonlinear Sloshing

scholarly journals Steady Fluid–Structure Coupling Interface of Circular Membrane under Liquid Weight Loading: Closed-Form Solution for Differential-Integral Equations

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1105
Author(s):  
Xue Li ◽  
Jun-Yi Sun ◽  
Xiao-Chen Lu ◽  
Zhi-Xin Yang ◽  
Xiao-Ting He
Keyword(s):  
Closed Form ◽  
Integral Equations ◽  
Fluid Structure Interaction ◽  
Static Problem ◽  
Axisymmetric Deformation ◽  
Circular Membrane ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Cylindrical Cup ◽  
Weight Loading

In this paper, the problem of fluid–structure interaction of a circular membrane under liquid weight loading is formulated and is solved analytically. The circular membrane is initially flat and works as the bottom of a cylindrical cup or bucket. The initially flat circular membrane will undergo axisymmetric deformation and deflection after a certain amount of liquid is poured into the cylindrical cup. The amount of the liquid poured determines the deformation and deflection of the circular membrane, while in turn, the deformation and deflection of the circular membrane changes the shape and distribution of the liquid poured on the deformed and deflected circular membrane, resulting in the so-called fluid-structure interaction between liquid and membrane. For a given amount of liquid, the fluid-structure interaction will eventually reach a static equilibrium and the fluid-structure coupling interface is steady, resulting in a static problem of axisymmetric deformation and deflection of the circular membrane under the weight of given liquid. The established governing equations for the static problem contain both differential operation and integral operation and the power series method plays an irreplaceable role in solving the differential-integral equations. Finally, the closed-form solutions for stress and deflection are presented and are confirmed to be convergent by the numerical examples conducted.

Curved slender structures in non-uniform flows

1999 ◽  
Vol 385 ◽  
pp. 21-40 ◽  
Author(s):  
A. R. GALPER ◽  
T. MILOH
Keyword(s):  
Flow Field ◽  
Cross Section ◽  
Potential Flow ◽  
Load Distribution ◽  
Fluid Structure Interaction ◽  
General Analysis ◽  
Small Cross Section ◽  
Fluid Structure ◽  
Cylindrical Structure ◽  
Structure Interaction

General expressions are derived for the load distribution acting on an arbitrary curved and twisted rigid or deformable slender cylindrical structure moving in an ambient non-uniform potential flow field. Further simplifications are presented for flexible shapes in the limit of a small cross-section. The general analysis is illustrated for straight, toroidal and helical shapes. These shapes are frequently encountered in nature and are good examples of typical fluid–structure interaction problems.

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