Full text available in Adobe Acrobat format:
http://www.architectura.actapol.net/volume15/issue1/15_1_3.pdf
Issue 15 (1) 2016 pp. 3–14
Katarzyna Jeleniewicz, Wiesław Nagórko
MODELLING OF PERIODICALLY HETEROGENEOUS ELASTIC PLATES
Keywords: elastic plate, periodic media, non-asymptotic homogenization, vibrations of reinforced plate
Abstract: The building structures considered in the paper are plates. Plates are three-dimensional material objects, which are described by two-dimensional models. Plates have some specific qualities. Two-dimensional models, where displacements, deformations and stresses are described by two-variable functions. These functions are determined in a plate’s mid-surface. In case of periodically heterogeneous plates the two-dimensional description is much more difficult due to the fact of a non-linear and oscillating coefficients present in the model equations. The aim of the paper is to provide a brief description of a homogenous modeling method, i.e. the method of averaging those coefficients to make them dependent the diameter of a basic cell only. By the use of that method static and dynamic equations result in constant coefficients. As an example, using this described model, we submitted the precise result for a simply supported plate which is periodically heterogeneous in two dimensions.
For citation:
EndNote
BibTeX
RefMan
MLA | Jeleniewicz, Katarzyna, and Wiesław Nagórko. "MODELLING OF PERIODICALLY HETEROGENEOUS ELASTIC PLATES." Acta Sci.Pol. Architectura 15.1 (2016): 3–14. |
APA | Jeleniewicz K. and Nagórko W. (2016). MODELLING OF PERIODICALLY HETEROGENEOUS ELASTIC PLATES. Acta Sci.Pol. Architectura, 15 (1), 3–14 |
ISO 690 | Jeleniewicz, Katarzyna, Nagórko, Wiesław. MODELLING OF PERIODICALLY HETEROGENEOUS ELASTIC PLATES. Acta Sci.Pol. Architectura, 2016, 15.1: 3–14. |
Streszczenie w języku polskim:
http://www.architectura.actapol.net/tom15/zeszyt1/abstrakt-3.html
http://www.architectura.actapol.net/tom15/zeszyt1/abstrakt-3.html