Archive | 2019
МОДЕЛЮВАННЯ КОЛИВАНЬ ПРУЖНОГО БАГАТОШАРОВОГО КІЛЬЦЯ З НЕОДНОРІДНИМИ ШАРАМИ
Abstract
Problem concerning free vibrations of an elastic multilayered ring has been considered under conditions of plane axisymmetric deformation. For some layers elasticity modulus and densities change continuously in the radial direction. Algorithm for evaluation the frequencies and shapes of free vibrations based on the use of rigidity functions is proposed. Recurrent relationships are applied to determine the rigidity functions. Normalized solutions of the elasticity equations for the ring with arbitrary continuous heterogeneity are obtained as the result of numerical solving Cauchy problems.