Abstract
A numerical procedure for vibration analysis of pressurised and rotating cylindrical shells by the Rayleigh Ritz method is presented. Potential and kinetic energies are specified. Stiffness matrix, geometrical stiffness matrix and three mass matrices due to centrifugal forces, Coriolis forces and the inertia forces are derived. Three basic sets of boundary conditions are considered, i.e. free, clamped, and simply supported in all the three directions. Appropriate sets of orthogonal trigonometric functions are used for the approximation of the displacement fields. The accuracy of the results obtained is verified analytically, by the finite strip method (FSM), and by the Finite Element Method (FEM).
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Acknowledgement
This work has been supported by the Croatian Science Foundation under the project IP-2019-04-5402.
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Senjanović, I., Čakmak, D., Ćatipović, I., Alujević, N., Vladimir, N. (2023). Vibration Analysis of Pressurized and Rotating Cylindrical Shells by Rayleigh-Ritz Method. In: Dimitrovová, Z., Biswas, P., Gonçalves, R., Silva, T. (eds) Recent Trends in Wave Mechanics and Vibrations. WMVC 2022. Mechanisms and Machine Science, vol 125. Springer, Cham. https://doi.org/10.1007/978-3-031-15758-5_18
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DOI: https://doi.org/10.1007/978-3-031-15758-5_18
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