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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832554600148762624 |
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| author | Barbara Tomczyk |
| author_facet | Barbara Tomczyk |
| author_sort | Barbara Tomczyk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-df66ab5e609b4159b53082edec9fa5d5 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-df66ab5e609b4159b53082edec9fa5d52025-02-03T05:51:08ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/7985379853On dynamics and stability of thin periodic cylindrical shellsBarbara Tomczyk0Department of Structural Mechanics, Technical University of Łódź, Al. Politechniki 6, Łódź 90-924, PolandThe 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.http://dx.doi.org/10.1155/DENM/2006/79853 |
| spellingShingle | Barbara Tomczyk On dynamics and stability of thin periodic cylindrical shells Differential Equations and Nonlinear Mechanics |
| title | On dynamics and stability of thin periodic cylindrical shells |
| title_full | On dynamics and stability of thin periodic cylindrical shells |
| title_fullStr | On dynamics and stability of thin periodic cylindrical shells |
| title_full_unstemmed | On dynamics and stability of thin periodic cylindrical shells |
| title_short | On dynamics and stability of thin periodic cylindrical shells |
| title_sort | on dynamics and stability of thin periodic cylindrical shells |
| url | http://dx.doi.org/10.1155/DENM/2006/79853 |
| work_keys_str_mv | AT barbaratomczyk ondynamicsandstabilityofthinperiodiccylindricalshells |