Polska Bibliografia Naukowa

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Issue 15 (1) 2016 pp. 3–14

Katarzyna Jeleniewicz, Wiesław Nagórko


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.
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For citation:

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.
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