Zvonareva O. Pressure pulse propagation in viscoelastic shell with fluid

Investigation of the interaction of a viscoelastic shell with viscous fluid on the basis of Kirhgof-Lyav's shell theory equations including viscoelastic conditions that correspond to Kelvin's model and nonstationary Navier-Stokes equations and also influence of different boundary conditions on the end of shell and local inhomogeneities. In the frames of taken assumptions it was presented the method of solution of nonstationary tasks of hydroelasticity regarding pressure pulse propagation in viscoelastic cylindrical shell on the basis of Laplas transformation by time and getting the exact analytical solutions in the images domain. Three classes of initial boundary tasks were investigated: for half-infinite shell, for piecewise constant shell like shell junction or insertions that modeling the stenosis and also for the shell with plugging. It was indicated that different boundary conditions on the end of the shell essentially influence on the quality and quantity characteristics of shell-liquid system. It was found that in the place of shall junction main crosscutting forces and bending moments are created which are relatively small in smooth shall that is very important for organs implantation.