Transverse vibrations of a thin rectangular porous plate saturated by a fluid

Philippe Leclaire (1) , Kirill Horoshenkov (1) , Alan Cummings (2)

1 Department of Civil and Environmental Engineering
2 School of Engineering

A simple model of the transverse vibrations of a thin rectangular porous plate saturated by a fluid is proposed. The model is based on the classical theory of homogeneous plates and on Biot's stress}strain relations in an isotropic porous medium with a uniform porosity. Two coupled dynamic equations of equilibrium relating the plate detection and the fluid/solid relative displacement are found and their physical interpretation is given. The energy dissipation by viscous friction is included in the model. An approximate calculation of the natural frequencies of vibration is given for rigid plates with various boundary conditions at the edges. The influence of porosity, tortuosity and permeability on the resonances is studied and a condition of maximum damping involving these parameters is given.

Mots clés: Porous Material; Tortuosity; Vibration

Domaines: Matériaux; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Philippe Leclaire, Kirill Horoshenkov, Alan Cummings. Transverse vibrations of a thin rectangular porous plate saturated by a fluid. Journal of Sound and Vibration, 2001, 247 (1), pp.1-18. ⟨10.1006/jsvi.2001.3656⟩. ⟨hal-01326042⟩