ISJ Theoretical & Applied Science 05(97) 2021

Philadelphia, USA

Akhmedov, M. S., Juraev, T. O., & Kulmuratov, N. R.

On the action of a moving pressure wave on a viscoelastic cylindrical shell interacting with an ideal liquid.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-05-97-42

DOI: https://dx.doi.org/10.15863/TAS.2021.05.97.42

Language: English

Citation: Akhmedov, M. S., Juraev, T. O., & Kulmuratov, N. R. (2021). On the action of a moving pressure wave on a viscoelastic cylindrical shell interacting with an ideal liquid. ISJ Theoretical & Applied Science, 05 (97), 213-218. Soi: http://s-o-i.org/1.1/TAS-05-97-42 Doi: https://dx.doi.org/10.15863/TAS.2021.05.97.42

Pages: 213-218

Published: 30.05.2021

Abstract: In this paper, we present statements, develop methods for solving and obtain numerical results for new problems of stationary deformation of infinitely long viscoelastic cylindrical shells on a deformable base when a non-axisymmetric wave of normal pressure moves along the axis of the shell with up to a resonant velocity. The solution methods are based on the joint application of the integral Fourier transform (or the method of fundamental solutions) with respect to the axial coordinate and the decomposition of all the given n desired quantities into Fourier series with respect to the angular coordinate. An efficient algorithm for the joint calculation of integrals and Fourier series is developed and implemented on a computer. The mixed shell is estimated as a function of the pressure wave velocity and the viscosity of the materials.

Key words: pressure waves, cylindrical shell, viscoelasticity, resonant velocity, Fourier transform, deformable base.