Non-Stationary Vibration of a Viscoelastic Cylindrical Shell with a Viscous Fluid

Authors

  • Teshaev Muhsin Khudoyberdiyevich Chief Researcher, Bukhara Branch of Institute of Mathematics AS Republic of Uzbekistan
  • Safarov Uchqun Isroilovich Assistant, Bukhara Engineering – Technological Institute, Republic of Uzbekistan
  • Djuraev Shuhrat Isroilovich Assistant, Bukhara State University, Republic of Uzbekistan
  • Eshpulatov Bobir Xudoyberdiyevich Assistant, Navoi State Pedagogical Institute, Republic of Uzbekistan

Keywords:

shell, viscous fluid, heredity integral, axisymmetric problem, Laplace transforms

Abstract

As part of this study, we consider the problem of no stationary interaction of a viscoelastic cylindrical shell of limited length with a viscous fluid. To illustrate the relationship between the forces and displacements of the shell, the Boltzmann-Volterra heredity integral was used. In this case, general solutions of the linearized Navier-Stokes equations for a viscous fluid are applied. We apply the Laplace transform to the equations in time, and the Fourier transform in coordinates on the constrained interval. It has been established that with increasing time, the influence of the compressibility of the liquid manifests itself as an increase in displacement.

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Published

2022-01-28

How to Cite

Khudoyberdiyevich, T. M. . ., Isroilovich, S. U. ., Isroilovich, D. S. . ., & Xudoyberdiyevich, E. B. . . (2022). Non-Stationary Vibration of a Viscoelastic Cylindrical Shell with a Viscous Fluid. International Journal of Innovative Analyses and Emerging Technology, 2(1), 63–70. Retrieved from https://openaccessjournals.eu/index.php/ijiaet/article/view/950

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