Dynamical stability and parametrical vibrations of the laminated plates with complex shape
The problem of nonlinear vibrations and stability analysis for the symmetric laminated plates with complex shape, loaded by static or periodic load in-plane is considered. In general case research of stability and parametric vibrations is connected with many mathematical difficulties. For this reaso...
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Marcílio Alves
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Series: | Latin American Journal of Solids and Structures |
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doaj-acce774f14154b7a943fc0511fb932892020-11-25T01:17:57ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782510117518810.1590/S1679-78252013000100017S1679-78252013000100017Dynamical stability and parametrical vibrations of the laminated plates with complex shapeLidiya Kurpa0Olga Mazur1Victoria Tkachenko2Kharkov State Technical UniversityKharkov State Technical UniversityKharkov State Technical UniversityThe problem of nonlinear vibrations and stability analysis for the symmetric laminated plates with complex shape, loaded by static or periodic load in-plane is considered. In general case research of stability and parametric vibrations is connected with many mathematical difficulties. For this reason we propose approach based on application of R-functions theory and variational methods (RFM).The developed method takes into account pre-buckle stress state of the plate. The proposed approach is demonstrated on testing problems and applied to laminated plates with cutouts. The effects of geometrical parameters, load, boundary conditions on stability regions and nonlinear vibrations are investigated.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100017&lng=en&tlng=en |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lidiya Kurpa Olga Mazur Victoria Tkachenko |
spellingShingle |
Lidiya Kurpa Olga Mazur Victoria Tkachenko Dynamical stability and parametrical vibrations of the laminated plates with complex shape Latin American Journal of Solids and Structures |
author_facet |
Lidiya Kurpa Olga Mazur Victoria Tkachenko |
author_sort |
Lidiya Kurpa |
title |
Dynamical stability and parametrical vibrations of the laminated plates with complex shape |
title_short |
Dynamical stability and parametrical vibrations of the laminated plates with complex shape |
title_full |
Dynamical stability and parametrical vibrations of the laminated plates with complex shape |
title_fullStr |
Dynamical stability and parametrical vibrations of the laminated plates with complex shape |
title_full_unstemmed |
Dynamical stability and parametrical vibrations of the laminated plates with complex shape |
title_sort |
dynamical stability and parametrical vibrations of the laminated plates with complex shape |
publisher |
Marcílio Alves |
series |
Latin American Journal of Solids and Structures |
issn |
1679-7825 |
description |
The problem of nonlinear vibrations and stability analysis for the symmetric laminated plates with complex shape, loaded by static or periodic load in-plane is considered. In general case research of stability and parametric vibrations is connected with many mathematical difficulties. For this reason we propose approach based on application of R-functions theory and variational methods (RFM).The developed method takes into account pre-buckle stress state of the plate. The proposed approach is demonstrated on testing problems and applied to laminated plates with cutouts. The effects of geometrical parameters, load, boundary conditions on stability regions and nonlinear vibrations are investigated. |
url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100017&lng=en&tlng=en |
work_keys_str_mv |
AT lidiyakurpa dynamicalstabilityandparametricalvibrationsofthelaminatedplateswithcomplexshape AT olgamazur dynamicalstabilityandparametricalvibrationsofthelaminatedplateswithcomplexshape AT victoriatkachenko dynamicalstabilityandparametricalvibrationsofthelaminatedplateswithcomplexshape |
_version_ |
1725144705451163648 |