Abstract
The relevance of studying the deformation and strength is related to the use of thin circular cylindrical shells in structures exposed to intense dynamic operation. When studying complex dynamics issues, the emphasis is made on solving the problems of free oscillations in structural elements. Real shell structures will unavoidably deviate from a perfect cylindrical shape (the initial imperfections) that emerge either in production or in operation. It is known that such imperfections result in specific phenomena as shells oscillate. This paper dwells upon the bending oscillations in thin shells. It demonstrates there may emerge an additional bending frequency spectrum-splitting zone due to the initial shell-shape imperfections. It has been discovered that the bending frequency spectrum splitting occurs not only when the number of circumferential dynamic strain waves equals that of the shell-shape imperfection waves, as is believed nowadays, but also when the number of shaping waves is half that of the shell-shape imperfection waves.
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The research was financed by the grant of the Russian Science Foundation (project No. 18-79-00057).
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Seregin, S.V. (2020). How Asymmetric Initial Imperfections in Shape Affect Free Oscillations of Thin Shells. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22041-9_99
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