Authors: Hedrih, Katica (Stevanović) 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Energy transfer in double plate system dynamics
Journal: Acta Mechanica Sinica/Lixue Xuebao
Volume: 24
Issue: 3
First page: 331
Last page: 344
Issue Date: 1-Jun-2008
Rank: M22
ISSN: 0567-7718
DOI: 10.1007/s10409-007-0124-z
Abstract: 
The study of energy transfer between coupled subsystems in a hybrid system is very important for applications. This paper presents an analytical analysis of energy transfer between plates of a visco-elastically connected double-plate system in free transversal vibrations. The analytical analysis shows that the visco-elastic connection between plates is responsible for the appearance of two-frequency regime in the time function, which corresponds to one eigen amplitude function of one mode, and also that time functions of different vibration modes are uncoupled, but energy transfer between plates in one eigen mode appears. It was shown for each shape of vibrations. Series of the two Lyapunov exponents corresponding to the one eigen amplitude mode are expressed by using the energy of the corresponding eigen amplitude time component.
Keywords: Analytical solution | Double plate system | Energy transfer between subsystems | Multifrequency transversal vibrations | Rayleigh function of dissipation
Publisher: Springer Link
Project: Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials 

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