Volume 8
Issue 4
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume8/issue4/abs-57.html
ON THE MODELLING OF MEDIUM THICKNESS PLATES INTERACTING WITH A PERIODIC WINKLER’S SUBSOIL
Jarosław Jędrysiak1, Agnieszka Paś2
1 Department of Structural Mechanics,
Łodz University of Technology, Poland
2 Department of Geotechnic and Civil Engineering,
Łodz University of Technology, Poland
ABSTRACT
Plates resting on a subsoil are often met in constructions of the civil engineering. The main aim of the paper is twofold. Firstly, to propose a new averaged model of medium thickness plates resting on a periodic Winkler’s 3D subsoil, based on the non-asymptotic tolerance averaging technique, cf. Wozniak and Wierzbicki [19]. The main feature of the model is that it describes the effect of period lengths on the overall behaviour of the plate. Secondly, to apply the non-asymptotic model to analyse free vibrations of a plate strip on a periodic subsoil and show that the aforementioned effect plays a crucial role in dynamic problems.
Key words: medium thickness plate, periodic Winkler’s subsoil, effect of period lengths.
Jarosław Jędrysiak
Department of Structural Mechanics,
Łodz University of Technology, Poland
Al. Politechniki 6, 93-590 Łodz, Poland
email: jarek@p.lodz.pl
Agnieszka Paś
Department of Geotechnic and Civil Engineering,
Łodz University of Technology, Poland
Al. Politechniki 6, 93-590 Łodz, Poland
email: pasaga@mail.p.lodz.pl
Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.