Dynamic behavior of cylindrical shells of non-circular cross-section under non-stationary loads
DOI:
https://doi.org/10.15407/dopovidi2021.05.033Keywords:
cylindrical shell, noncircular section, Timoshenko-type model, unsteady processes, numerical methodsAbstract
Non-stationary wave processes in cylindrical shells of non-circular cross-section are considered. A model of the Timoshenko-type shell theory is used to describe the wave process. The Hamilton — Ostrogradsky variational principle is used to derive the equations for the oscillations of the original shell. The oscillation equation is supplemented by the corresponding natural limiting and zero initial conditions. The numerical solution of the problems presented in the work is based on the use of an integro-interpolation method for constructing difference schemes in spatial and temporal coordinates. As a numerical example, the problem of the dynamic behavior of a cylindrical shell of a finite length of an elliptical section under the action of a distributed internal impulse load was considered. Numerical results are given, which make it possible to carry out a detailed characterization of the stress-strain state of the initial cylindrical shell.
Downloads
References
Golovko, K. G., Lugovoi, P. Z. & Meish, V. F. (2012). Dynamics of inhomogeneous shells under nonstationary loads. Кyiv. Publ. Centre “KyivUniversity” (in Russian).
Grigorenko, Ya. M. & Zakhariychenko, L. I. (1999). Analysis of the stress-strain state of non-circular cylindrical shells with a change in their thickness and conservation of weight, Prikl. Mechanics. 35, No. 6, pp. 39–47 (in Russian).
Grigorenko, Ya. M., Budak, V. D. & Grigorenko, O. Ya. (2010). Determination of problems in the theory of shells on the basis of discrete-continuous methods. Mikolaiv: Ilyon (in Russian).
Meish, V. F., Meish, Yu. A. & Bielov, Ye. D. (2018). Dynamics of end-shells of eliptic overrun in case of nonstationary replacement. Dopov. Nac. Acad. nauk Ukr. No. 1 (in Ukrainian). https://doi.org/10.15407/dopovidi2018.01.029
Novozhilov, V. V. (1962). Thinshelltheory. Leningrad: Sudpromgiz (in Russian).
Samarsky, A. A. (1977). The theory of difference schemes. Moscow: Nauka (in Russian).
Meish, V. F., Meish, Yu. A. & Pavlyuk, A. V. (2018). Dynamics of a Three - Layer Elliptic Cylindrical Shells Reinforced with Discrete Rings. Int. Appl. Mech. 54, No.2, pp. 172-179. https://link.springer.com/article/10.1007/s10778-018-0869-z
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
