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.

Issue Section:
Special Section: Computational Fluid Mechanics and Fluid–Structure Interaction
Keywords:
hydroelasticity, sloshing, damping, complex modes, modal synthesis, time response, frequency response., damping, elasticity, frequency response, liquids, sloshing, vibrations
Topics:
Damping, Fluids, Frequency response, Sloshing, Eigenvalues

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Copyright © 2012
 by American Society of Mechanical Engineers
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