DETERMINATION OF THE INHOMOGENEITY PARAMETERS OF A SPHERE’S COVER ENSURING REQUIRED SOUND REFLECTION IN A WAVEGUIDE
Peshkov Nikita Yurievich
postgraduate, Russia, Tula, Tula State University,
Skobeltsyn Sergey Alekseevich
candidate of physico-mathematical sciences, docent, Russia, Tula, Tula State University.
Abstract. The numerical-analytical method of identifying the inhomogeneity parameters of a material of a sphere’s elastic cover, which allow to ensure minimal (maximal) average pressure in the scattered field of a spherical sound wave, which is radiated by a monopole source, within the disk observation domain in a cylindrical waveguide, has been developed. The sphere is assumed to be either absolutely rigid (moveless) or filled with an homogeneous elastic material. Verification of the scheme for determining the cover’s extremal inhomogeneity characteristics has been carried out and influence of the solution algorithm’s launch parameters on their identification accuracy during the numerical experiment has been evaluated. The finite element method (FEM) and the Hooke-Jeeves algorithm are used in the problem solving.
Keywords: homogeneous elastic (absolutely rigid and moveless) sphere, elastic cover’s inhomogeneity parameters, cylindrical waveguide, scattered field, displacement potential, extremal average pressure, Hooke-Jeeves algorithm, finite element method, shape function, radiation boundary