Volume 13
Issue 4
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume13/issue4/abs-08.html
ON THE LENGTH-SCALE EFFECT IN THE FREE VIBRATIONS OF PERIODICALLY RIBBED ELASTIC PLATES
Katarzyna Jeleniewicz, Wiesław Nagórko
Department of Civil Engineering and Geodesy,
Warsaw University of Life Sciences - SGGW, Poland
ABSTRACT
The plates reinforced by ribs are being considered in the paper. For such plates, by assuming a periodic distribution of the ribs in the plate, the average model was being constructed, consisting the plate dynamics equations, which are the linear differential ones with constant coefficients. For modeling the tolerance not asymptotic averaging technique were used. Consequently, in the modeling equations, a microstructure parameter remains (basic cell size). In the paper the free vibrations of the consideration plates were tested and the presence of scale effect was demonstrated.
Key words: ribbed plate, elastodynamics of the plates, vibrations of the plates, non-asymptotic homogenization.
Katarzyna Jeleniewicz
Department of Civil Engineering and Geodesy,
Warsaw University of Life Sciences - SGGW, Poland
Nowoursynowska St. 159, 02-776 Warsaw, Poland
email: k.jeleniewicz@tlen.pl
Wiesław Nagórko
Department of Civil Engineering and Geodesy,
Warsaw University of Life Sciences - SGGW, Poland
Nowoursynowska St. 159, 02-776 Warsaw, Poland
email: wieslaw_nagorko@sggw.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.