Influence of Elastic Waves on Parallel Cylindrical Shells with Perfect Fluid



Abstract

The paper deals with the stress-strain state of parallel cylindrical tubes with a liquid. A formal solution of the problem of the diffraction of plane harmonic (longitudinal or transverse) and no stationary elastic waves on parallel circular cylindrical shells with a liquid enclosed in an infinite medium is constructed. The problem with the help of the integral Fourier transform with respect to time reduces the system of partial differential equations with respect to the coordinate. The field of stresses in the shells and their around in a finite distance between them is studied in detail. It is found that the ranges of the selected parameters with stresses and displacements on the shadow side of the first shell, increases somewhat in comparison with the case of one obstacle. The problem is solved in a bicylindrical coordinate system under the action of harmonic waves. An analytic solution is obtained in special Bessel and Henkel functions, as well as numerical results. Parametric analysis of the dynamic stress coefficient

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