Sound radiation by an axisymmetrical elastic body in a harmonic field [French]

摘要

A surface Helmholtz integral system is used to obtain the solution of the steady-state acoustic radiation problem for a bounded elastic or rigid body. It leads to the solution of a system of four coupled integral equations governing the radiated pressure and the three displacements vector components at the body surface. A finite-element method is used to compute numerically this system with an original treatment of the integral-equation kernel singularities, consisting in isolating the singularities and applying an asymptotic expansions to the complete elliptic integrals. This method is successfully tested on the case of a rigid sphere submitted to a plane acoustic field and the case of an elastic sphere in a contant field, and then applied to the case of a steel made 'LINE' -which is a straight cylinder with hemispherical endcaps - subjected in the water to an axial plane acoustic field. [References: 23]