Authors: Hedrih, Katica (Stevanović) 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Energy transfer in the hybrid system dynamics (energy transfer in the axially moving double belt system)
Journal: Archive of Applied Mechanics
Volume: 79
Issue: 6-7
First page: 529
Last page: 540
Issue Date: 1-Jul-2009
Rank: M22
ISSN: 0939-1533
DOI: 10.1007/s00419-008-0285-7
Abstract: 
First, as an introduction, using the author's published references, a short survey of an analytical study of the energy transfer between two coupled subsystems, as well as between a linear and nonlinear oscillators of a hybrid system, in the free and forced vibrations of a different type of inter connections between subsystems is presented. Second, as author's new research result, an analytical study of the energy transfer between two coupled like-string belts interconnected by light pure elastic layer in the axially moving sandwich double belt system, in the free vibrations is presented. On the basis of the obtained analytical expressions for the kinetic and potential energy of the belts and potential energy of the of light pure elastic distributed layer numerous conclusions are derived. In the pure linear elastic double belt system no transfer energy between different eigen modes of transversal vibrations of the axially moving double belt system, but in every from of the set of the infinite numbers eigen modes, there are transfer energy between belts. Each of the eigen modes of the free transversal vibrations are like two-frequency. The change of the potential energy of the booth belts is four frequency, and interaction part of the potential energy is one frequency in the each eigen mode. Changes of the kinetic energy of the both belts of the sandwich double axially moving bet system is two frequency like oscillatory regimes with two time multiplicities of the eineg frequencies of the corresponding eigen amplitude mode.
Keywords: Analog energy | Analytical solution | Double belt system | Hybrid system | Kinetic energy | Potential energy | Raleigh function of dissipation | Rolling element | Standard light hereditary element | Subsystems | Total energy of the modes | Transfer energy
Publisher: Springer Link
Project: Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials 

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