Abstract: | We describe an approach to the solution of problems of reflection of harmonic elastic waves from a convex indrical cavity of arbitrary section, on the basis of Debye ray, series. We obtain a system of linear algebraic equations to determine the constants of integration and expressions for determining the stresses in the elastic medium surrounding the convex cylindrical cavity. We give the results of computation of the stresses that arise as a result of the action of a planar harmonic rarefaction wave on a cylindrical cavity in the shape of elliptic and parabolic cylinders and on a cylindrical cavity whose section is a Munger oval. Four figures. Bibliography: 7 titles. Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 22, pp. 10–16, 1991. |