WAVE PROPAGATION IN A SHELL OF A COMPOSITE MATERIAL CONTAINING A BUBBLE LIQUID

Abstract

The results of theoretically analyzing a linearized axisymmetric problem of a pulsed motion of a two-phase bubble liquid contained in an elastic orthotropic shell are presented. The mixture flow is described by a model of an ideal compressible barothropic medium, and equations of motion accounting for shear are used for the shell. A shell with flowing water containing small additions of air bubbles is studied as an example. One of the important dynamic problems of such a «shellliquid» system is to determine frequencies and forms of natural vibrations. The effect of the volume percentage of the bubbles and the orthotropy on the wave characteristics is numerically found.

Key words: two-phase liquid, orthotropic shell, bubbles, harmonic waves, circular frequency.