Inverse coefficient problem of the variable properties reconstruction for the viscoelastic cylindrical waveguide

Abstract

PresentAddress 344090, Russian Federation, Rostov-on-don, Milchakova St. 8A Funding informationModels, algorithms, and software for multiscale analysis of new materials and physically active media, Grant/Award Number: 075-15-2019-1928 An effective technique for inverse coefficient problem solving of the shear modulus reconstruction for both inhomogeneous elastic and viscoelastic cylindrical waveguide is proposed. The identification is carried out using the displacement field data measured on the finite part of the outer boundary of the cylindrical waveguide in the torsional vibrations mode. An iterative scheme for solving the inverse problem is developed. At each iteration step, the correction to the shear modulus distribution function is calculated using the Fredholm integral equation of the first kind with a smooth kernel. Numerical results are obtained for both direct and inverse problems for different laws of the shear modulus variation. K E Y W O R D Scylindrical waveguide, inhomogeneity, inverse problem, mechanical properties, oscillations, reconstruction

On the inverse problem for the mechanical parameters reconstruction of a viscoelastic layer

“…Методика идентификации параметров вязкоупругих материалов для трехмерного образца представлена в [14]. В настоящей работе рассматривается решение обратной задачи определения закона распределения комплекснозначного механического параметра вязкоупругого материала и для ее решения требуется знание данных волнового поля только на конечной части верхней поверхности слоя (аналогично [15,16]).…”