Special Section: Computational Fluid Mechanics and Fluid–Structure Interaction

Liquid Sloshing Damping in an Elastic Container

[+] Author and Article Information
Thomas Miras

ONERA, The French Aerospace Lab, BP 72, 92322 Chatillon Cedex, Francethomas.miras@onera.fr

Jean-Sébastien Schotté

ONERA, The French Aerospace Lab, BP 72, 92322 Chatillon Cedex, Franceschotte@onera.fr

Roger Ohayon

CNAM, Structural Mechanics and Coupled System Laboratory, 292 rue Saint Martin, Paris, 75141 Franceroger.ohayon@cnam.fr

In Ref. 10, Morand and Ohayon also propose to use ϕ, the solution of the hydroelastic problem without gravity.

Let α be the algebraic multiplicity of the eigenvalue pi, α is the order of the corresponding zero in det(P(p)). The geometric multiplicity β of pi is the dimension of the associated characteristic subspace. For a semisimple eigenvalue we have: α=β.

J. Appl. Mech 79(1), 010902 (Dec 13, 2011) (8 pages) doi:10.1115/1.4005189 History: Received May 05, 2011; Revised August 25, 2011; Published December 13, 2011; Online December 13, 2011

It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sloshing problem. We obtain a nonclassically damped coupled system with a damping matrix that is not symmetric. Then, by projecting the system onto its complex modes, the frequency and time responses for different type of loads are built. A numerical application is illustrated on a test case.

Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Description of the system and notations

Grahic Jump Location
Figure 5

Time response of point A in the radial direction for a harmonic excitation at the frequency f1  = 0.63 Hz and a Heavyside; F0  = 600 N

Grahic Jump Location
Figure 6

Snapshots of the liquid deformation at different instants for a harmonic excitation at the frequency 0.99 Hz (black arrow in Fig. 6). The colors represent the pressure fluctuations in the fluid.

Grahic Jump Location
Figure 2

Example of a sloshing mode

Grahic Jump Location
Figure 3

Test tank. Height: 2 m, Radius: 2 m.

Grahic Jump Location
Figure 4

Comparison between the frequency responses in displacement of the point A from 0 to 6 Hz in the radial direction for an excitation at the same point and in the same direction



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In