ISJ Theoretical & Applied Science 09(101) 2021

Philadelphia, USA

Axmedov, S. R., Kulmuratov, N. R., Safarov, U. I., Choriev, M., & Hamraev, N. N.

Vibrations of deformable cylindrical shells with a viscoelastic filler.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-09-101-11

DOI: https://dx.doi.org/10.15863/TAS.2021.09.101.11

Language: Russian

Citation: Axmedov, S. R., Kulmuratov, N. R., Safarov, U. I., Choriev, M., & Hamraev, N. N. (2021). Vibrations of deformable cylindrical shells with a viscoelastic filler. ISJ Theoretical & Applied Science, 09 (101), 178-186. Soi: http://s-o-i.org/1.1/TAS-09-101-11 Doi: https://dx.doi.org/10.15863/TAS.2021.09.101.11

Pages: 178-186

Published: 30.09.2021

Abstract: The variational principle is used to study the vibrations of a thin longitudinally reinforced viscoelastic cylindrical shell under dynamic influences. Oscillatory processes of the filler and the bonded shell satisfy the Lame equations. At the contact between the shell and the filler, the conditions of rigid contact are fulfilled. The relationship between stresses and strains, for a linear viscoelastic material, is represented in the form of the Boltzmann-Voltaire integral. To solve the problem, the following are used: the method of separated variables, methods of the theory of potential functions (special functions) and the Gauss method. The dependence of the change in the dynamism coefficient on the relative weights of the ribs is plotted for different weights of the transverse rib.

Key words: shell, instantaneous modulus of elasticity, deformation, total energy, ribs, viscosity.