Budownictwo i Inżynieria Środowiska
2014.35, DOI: 10.7862/rb.2014.35
VIBRATION ANALYSIS OF A THIN RING INTERACTING WITH THE ANNULAR PLATE TREATED AS AN ELASTIC FOUNDATION
Stanisław NOGA
DOI: 10.7862/rb.2014.35
Abstract
In this paper the free in–plane flexural vibration of a thin ring with elastic foundation of a Winkler type is analysed on the basis of the analytical and numerical methods. Mathematical model of the three–parameter elastic foundation is proposed. The separation of variables method is used to obtain the general solution of the considered system free vibration. Then the eigenvalue problem is solved by using the finite element method. Natural frequencies and normal modes of the system vibration are determined. The achieved results of calculation are discussed and verified by experimental data. FE model is formulated by using ANSYS software. It is important to note that the problems discussed in the paper bring practical advice for engineers dealing with dynamics of circular ring systems like aviation gears and railway wheels, respectively.
References
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About this Article
TITLE:
VIBRATION ANALYSIS OF A THIN RING INTERACTING WITH THE ANNULAR PLATE TREATED AS AN ELASTIC FOUNDATION
AUTHORS:
Stanisław NOGA
AUTHORS AFFILIATIONS:
Rzeszow University of Technology
JOURNAL:
Budownictwo i Inżynieria Środowiska
2014.35
KEY WORDS AND PHRASES:
in–plane flexural vibration, ring with foundation, three–parameter elastic foundation, circular systems
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/biis/114
DOI:
10.7862/rb.2014.35
URL:
http://dx.doi.org/10.7862/rb.2014.35
RECEIVED:
2014-05-13
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow