Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Baryshev A. A., Manzhirov A. V., Lychev S. A. Non-stationary vibration of growth circular cylindrical shell. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, vol. 12, iss. 2, pp. 42-48. DOI: 10.18500/1816-9791-2012-12-2-42-48

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
21.05.2012
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Russian
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UDC: 
539.3

Non-stationary vibration of growth circular cylindrical shell

Autors: 
Baryshev Andrei Alekseevich, Saratov State University
Manzhirov Aleksandr Vladimirovich, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Lychev Sergei Aleksandrovich, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Abstract: 

Small forced vibrations of growing cylindrical shell fixed on circular boundaries is studied in the framework of Kirchhoff–Love shell theory. The process of the accretion are characterized by the continuous adherence of material particles to its facial surface. Since the shell bends during the accretion, its stressed-strained state depends not only on loading, but also on the history of the process of accretion, i.e. the schedule of accretion. A schedule of elementary type, when during every infinitesimal time interval the particles of adhered material constitute the layer of constant infinitesimal thickness, is considered. 

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