Analytical stationary acoustic wave in a liquid over which a moving pressure runs

André Langlet (1)

1 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique

This paper presents an analytical study of the stationary response of a liquid loaded on its free surface by an ideal pressure step moving in a constant direction at a constant velocity. The acoustic pressure in the liquid is found, for four different examples, by means of Fourier Transform. Two regimes of loading are considered; subsonic and supersonic. Two configurations of liquid domains are also studied, the first one is a half infinite space while the second one is bounded by a rigid bottom at a finite depth. For the two supersonic cases, a simple reasoning based on the existence of a front of discontinuity in the liquid and on the property of reflection of waves confirms the result of mathematical investigations. The results obtained for the steady state case are of intererest, even when the loading is not exactly stationary, such as the presure produced by an explosion occurring in the neighbourhood of the surface of a liquid. Two examples numerically resolved are presented, which confirm this assumption.

Mots clés: wave equation; sliding pressure; transform methods; analytical solutions

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

André Langlet. Analytical stationary acoustic wave in a liquid over which a moving pressure runs. schock and vibration, 2010, 17 (3), pp.251-267. ⟨10.3233/SAV-2010-0510⟩. ⟨hal-00685256⟩