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How Asymmetric Initial Imperfections in Shape Affect Free Oscillations of Thin Shells

  • S. V. SereginEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

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.

Keywords

Shell Dynamics Imperfection Resonance 

Notes

Acknowledgements

The research was financed by the grant of the Russian Science Foundation (project No. 18-79-00057).

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Federal State-Funded Educational Institution of Higher Education Komsomolsk-on-Amur State UniversityKomsomolsk-on-AmurRussia

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