Nonlinear finite amplitude vibrations of sharp-edged beams in viscous fluids

2012 ◽  
Vol 331 (7) ◽  
pp. 1624-1654 ◽  
Author(s):  
M. Aureli ◽  
M.E. Basaran ◽  
M. Porfiri
Keyword(s):  
Finite Amplitude ◽  
Viscous Fluids

Propagation of long waves of finite amplitude at the interface of two viscous fluids

1985 ◽  
Vol 11 (4) ◽  
pp. 481-502 ◽  
Author(s):  
G. Ooms ◽  
A. Segal ◽  
S.Y. Cheung ◽  
R.V.A. Oliemans
Keyword(s):  
Finite Amplitude ◽  
Viscous Fluids ◽  
Long Waves

scholarly journals Instability of the interface of two viscous fluids moving in a channel. Part II a. Nonlinear problem

1989 ◽  
Vol 11 (3) ◽  
pp. 52-59
Author(s):  
Tran Van Tran
Keyword(s):  
Steady State ◽  
Nonlinear Problem ◽  
Hydrodynamic Stability ◽  
Evolution Equations ◽  
Finite Amplitude ◽  
Viscous Fluids ◽  
Weakly Nonlinear ◽  
Concurrent Flow ◽  
Periodic Steady State

In this paper, the method of multiple scaling is used for obtaining the am-altitude evolution equations from the weakly nonlinear problem of hydrodynamic stability of concurrent flow of two viscous fluids in a channel It. is shown that in the case of stability the, interface may evolve to some finite amplitude with periodic steady state.

Nonlinear finite amplitude torsional vibrations of cantilevers in viscous fluids

2012 ◽  
Vol 111 (12) ◽  
pp. 124915 ◽  
Author(s):  
Matteo Aureli ◽  
Christopher Pagano ◽  
Maurizio Porfiri
Keyword(s):  
Finite Amplitude ◽  
Viscous Fluids ◽  
Torsional Vibrations

Hydrodynamic Loads on Vibrating Cantilevers Under a Free Surface in Viscous Fluids With SPH

2013 ◽  
Author(s):  
Angelantonio Tafuni ◽  
Iskender Sahin
Keyword(s):  
Free Surface ◽  
Hydrodynamic Force ◽  
Finite Amplitude ◽  
Viscous Fluids ◽  
Periodic Force ◽  
Thin Beam ◽  
Fluid Field ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Phase Lags

Smoothed Particle Hydrodynamics (SPH) based simulations are implemented to study finite amplitude vibrations of a submerged cantilever beam in viscous fluids under a free surface. The cross section of a thin beam is modelled as a rectangular 2D oscillating rigid lamina, around which fluid field properties are computed. The study is carried out using non-dimensional frequency, amplitude of oscillations and depth of submergence. The total hydrodynamic force on the vibrating beam is extracted via SPH analysis, together with the contours of fluid field properties. Comparison is made between the results obtained with and without the free surface. We find that the presence of the free surface strongly influences the flow physics around the lamina, giving rise to non-harmonic velocity profiles and non-periodic force responses, coupled with phase lags and non-zero mean force during periodic oscillations.

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