VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS
Laminated glass, consisting of glass layers connected with transparent foils, has found its applications in civil, automotive, or marine engineering. Due to a high contrast in layer properties, mechanical response of laminated glass structures cannot be predicted using classical laminate theories. O...
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doaj-d527e41dff854d34a05b33b0f11d974f2020-11-24T22:54:31ZengCTU Central LibraryActa Polytechnica CTU Proceedings2336-53822017-11-0113010911410.14311/APP.2017.13.01094008VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMSJaroslav Schmidt0Alena Zemanová1Tomáš Janda2Jan Zeman3Michal Šejnoha4Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech RepublicLaminated glass, consisting of glass layers connected with transparent foils, has found its applications in civil, automotive, or marine engineering. Due to a high contrast in layer properties, mechanical response of laminated glass structures cannot be predicted using classical laminate theories. On the other hand, engineering applications demand easy-to-use formulas of acceptable accuracy. This contribution addresses such simplified models for free vibrations of laminated glass beams, with the goal to determine their natural frequencies and modal damping properties. Our strategy is to approximate the complex behavior of a laminated structure with that of an equivalent monolithic beam. Its effective thickness is determined by the variational method proposed by Galuppi and Royer-Carfagni for static problems, which we extended for modal analysis. We show that this new approach overcomes inaccuracies of the currently used dynamic effective thickness model by López-Aenlle and Pelayo.https://ojs.cvut.cz/ojs/index.php/APP/article/view/4642laminated glass, dynamic effective thickness, modal analysis |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jaroslav Schmidt Alena Zemanová Tomáš Janda Jan Zeman Michal Šejnoha |
spellingShingle |
Jaroslav Schmidt Alena Zemanová Tomáš Janda Jan Zeman Michal Šejnoha VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS Acta Polytechnica CTU Proceedings laminated glass, dynamic effective thickness, modal analysis |
author_facet |
Jaroslav Schmidt Alena Zemanová Tomáš Janda Jan Zeman Michal Šejnoha |
author_sort |
Jaroslav Schmidt |
title |
VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS |
title_short |
VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS |
title_full |
VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS |
title_fullStr |
VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS |
title_full_unstemmed |
VARIATIONALLY-BASED EFFECTIVE DYNAMIC THICKNESS FOR LAMINATED GLASS BEAMS |
title_sort |
variationally-based effective dynamic thickness for laminated glass beams |
publisher |
CTU Central Library |
series |
Acta Polytechnica CTU Proceedings |
issn |
2336-5382 |
publishDate |
2017-11-01 |
description |
Laminated glass, consisting of glass layers connected with transparent foils, has found its applications in civil, automotive, or marine engineering. Due to a high contrast in layer properties, mechanical response of laminated glass structures cannot be predicted using classical laminate theories. On the other hand, engineering applications demand easy-to-use formulas of acceptable accuracy. This contribution addresses such simplified models for free vibrations of laminated glass beams, with the goal to determine their natural frequencies and modal damping properties. Our strategy is to approximate the complex behavior of a laminated structure with that of an equivalent monolithic beam. Its effective thickness is determined by the variational method proposed by Galuppi and Royer-Carfagni for static problems, which we extended for modal analysis. We show that this new approach overcomes inaccuracies of the currently used dynamic effective thickness model by López-Aenlle and Pelayo. |
topic |
laminated glass, dynamic effective thickness, modal analysis |
url |
https://ojs.cvut.cz/ojs/index.php/APP/article/view/4642 |
work_keys_str_mv |
AT jaroslavschmidt variationallybasedeffectivedynamicthicknessforlaminatedglassbeams AT alenazemanova variationallybasedeffectivedynamicthicknessforlaminatedglassbeams AT tomasjanda variationallybasedeffectivedynamicthicknessforlaminatedglassbeams AT janzeman variationallybasedeffectivedynamicthicknessforlaminatedglassbeams AT michalsejnoha variationallybasedeffectivedynamicthicknessforlaminatedglassbeams |
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1725659287988994048 |