Abstract
Natural vibrations and stability of cylindrical shells interacting with a quiescent and flowing ideal fluid are numerically investigated. A solution is implemented in a three-dimensional formulation using an algorithm that is based on the finite element method. In the numerical examples, shells with an elliptical cross section, coaxial shells, and shells with an eccentricity are considered. The influence of a fluid level inside these structures and axial misalignment on natural frequencies and vibration modes, and the critical velocities of instability are analyzed. Calculations has revealed the peculiarities of the dynamic characteristics of the shells under consideration in case of their partial filling with a fluid. It is shown that the stability of the system can be improved by selecting appropriate geometric parameters.
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Bochkarev, S.A., Lekomtsev, S.V., Matveenko, V.P., Senin, A.N. (2023). Three-Dimensional Numerical Analysis of Natural Vibrations and Stability of Cylindrical Shells Interacting with Fluid. In: Altenbach, H., Irschik, H., Porubov, A.V. (eds) Progress in Continuum Mechanics. Advanced Structured Materials, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-031-43736-6_8
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