 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| I.V. Kirillova, "Asymptotic Model of Non-Stationary Processes in Shells of Revolution under the Action of End Impact Loads of Bending Type," Mech. Solids. 59 (7), 3756-3768 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
7 |
Pages |
3756-3768 |
| DOI |
10.1134/S0025654424606591 |
| Title |
Asymptotic Model of Non-Stationary Processes in Shells of Revolution under the Action of End Impact Loads of Bending Type |
| Author(s) |
I.V. Kirillova (Saratov State University, Saratov, 410012 Russia, nano-bio@sgu.ru) |
| Abstract |
The present study deals with the construction of an asymptotic model of propagation of
non-stationary waves in thin shells of revolution under the action of end impact loads of the bending
type. The developed asymptotic methods for solving boundary value problems for the components of the stress-strain state that are the main ones for the considered type of waves, namely the bending
component according to the Kirchhoff-Love theory and the hyperbolic boundary layer, are described.
The asymptotic methods are based on various types of expansions in power series in a small parameter
of thinness of the wall depending on the values of the indices of variability and dynamicity. In this case,
integral Laplace transforms in time and Fourier transforms in the spatial coordinate, methods of frontal asymptotics, expansions in special functions are used. Calculations performed on the example of a
spherical shell have shown the efficiency of the developed methods. |
| Keywords |
asymptotic methods, non-stationary waves, shells of revolution, bending component, hyperbolic boundary layer, integral transformations, spherical shell |
| Received |
19 November 2024 | Revised |
30 November 2024 | Accepted |
02 December 2024 |
| Link to Fulltext |
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