Authors: Hedrih, Katica (Stevanović) 
Simonović, Julijana
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Transversal vibrations of a double circular plate system with visco-elastic layer excited by a random temperature field
Journal: International Journal of Nonlinear Sciences and Numerical Simulation
Volume: 9
Issue: 1
First page: 47
Last page: 50
Issue Date: 1-Jan-2008
Rank: M21a
ISSN: 1565-1339
DOI: 10.1515/IJNSNS.2008.9.1.47
This paper studies the effect of a non-homogenous random temperature field on the transversal vibrations of a double circular plate system with a visco-elastic layer. A corresponding system of partial differential equations as well as the Itô stochastic differential equations for amplitudes and phases in the first asymptoic aproximation are derived. The presented results reveal that one eigen mode in the like two-frequency oscillations does not depend on the frequencis of the other infinite number modes of the possible system oscillations. Furthermore, the analytical expressions of Lyapunov exponents of component random oscillations are derived.
Publisher: de Gruyter
Project: Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials 

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