In this work, the longitudinal-radial vibrations of a transversely-isotropic cylindrical shell interacting with an internal viscous fluid are mathematically modeled. The interactions between the shell and the fluid are considered on the basis of refined equations of motion. Fourier and Laplace transformations, boundary and contact conditions, and the finite difference method are used to solve the equations. Displacement graphs are constructed based on a practical problem and their correspondence to the physical essence is shown. The results of the research are of great importance in the design and optimization of industrial structures.

Transversally-isotropic cylindrical shell, viscous fluid, longitudinal-radial vibrations

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