Agricultural Engineering, Volume 45, Number 3

INVESTIGATION OF A WAVES WITH MINIMUM QUASI-PERIOD AT DOUBLE PERIODIC PLATE

Anastasia Kutsenko
National University of Life and Environmental Sciences of Ukraine

Abstract

The mechanical systems of periodical structure are passed through a wave by certain ranges of frequency. There ranges of frequency are called pass-bends. This is feature of periodical mechanical system have been invoked to designee of vibration construction. Many solutions of such problems by numerical methods are drawn. As an example, the method of finite elements.
A problem of bending waves propagation through a plate with two mutually perpendicular systems of hinges is considered. Wave propagates in the orthogonal to the period diagonal direction is perceived.
The method of the investigation of wave propagation in double periodic plates, which based on the boundary elements method, is developed. With the help of this method the pass-bands of the wave, which propagates in the orthogonal to the minimum period diagonal direction, are found. Under corresponding modification it can be applied in the case of arbitrary double periodic systems.

Keyword(s): Plate, periodic structure, pass-bands, Floquet’s principle


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Agricultural Engineering ISSN 1392-1134 / eISSN 2345-0371

This journal is published under the terms of the Creative Commons Attribution-Noncommercial 3.0 Unported License. Responsible editor: Dr A. Žunda.