On dynamics and stability of thin periodic cylindrical shells
The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure along one direction tangent to the shell midsurface. The aim of this paper is to propose a new averaged nonasymptotic model of such shells, which makes it possible to investigate free and forced vibra...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/79853 |
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| Summary: | The object of considerations is a thin linear-elastic cylindrical
shell having a periodic structure along one direction tangent to
the shell midsurface. The aim of this paper is to propose a new
averaged nonasymptotic model of such shells, which makes it
possible to investigate free and forced vibrations, parametric
vibrations, and dynamical stability of the shells under
consideration. As a tool of modeling we will apply the
tolerance averaging technique. The resulting equations have
constant coefficients in the periodicity direction. Moreover, in
contrast with models obtained by the known asymptotic
homogenization technique, the proposed one makes it possible to
describe the effect of the period length on the overall shell
behavior, called a length-scale effect. |
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| ISSN: | 1687-4099 1687-4102 |