Mj. Berliner et R. Solecki, WAVE-PROPAGATION IN FLUID-LOADED, TRANSVERSELY ISOTROPIC CYLINDERS .1. ANALYTICAL FORMULATION, The Journal of the Acoustical Society of America, 99(4), 1996, pp. 1841-1847
The problem of wave propagation in an infinite, fluid-loaded, homogene
ous, transversely isotropic cylinder is studied within the framework o
f the linearized, three-dimensional theory of elasticity. The equation
s of motion of the cylinder are formulated using the constitutive equa
tions of a transversely isotropic material with a preferred material d
irection collinear with the longitudinal axis of the cylinder. The equ
ations of motion of the internal and external fluids are formulated us
ing the constitutive equations of an inviscid fluid. Displacement pote
ntials are used to solve the equations of motion of the cylinder and t
he fluids. The frequency equation of the coupled system, consisting of
the cylinder and the internal and external fluids, is developed under
the assumption of perfect-slip boundary conditions at the fluid-solid
interfaces. This frequency equation is general in axial wave number k
, circumferential wave number n, cylinder wall thickness h, and radial
frequency omega. Simplifications to the frequency equation for the ca
ses of zero wave number and material isotropy are discussed. (C) 1996
Acoustical Society of America.