Authors: Hedrih, Katica (Stevanović) 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Energy analysis in a nonlinear hybrid system containing linear and nonlinear subsystems coupled by hereditary element
Journal: Nonlinear Dynamics
Volume: 51
Issue: 1-2
First page: 127
Last page: 140
Issue Date: 1-Jan-2008
Rank: M21
ISSN: 0924-090X
DOI: 10.1007/s11071-007-9197-2
Energy transfer between subsystems coupled by standard light hereditary element in hybrid system is very important for different engineering applications, especially for dynamical absorption. An analytical study of the energy transfer between coupled linear and nonlinear oscillators in the free vibrations of a viscoelastically connected double-oscillator system as a new hybrid nonlinear system with two and half degrees of freedom is pointed out. The analytical study shows that the viscoelastic-hereditary connection between oscillators causes the appearance of like two-frequency regimes of subsystem's vibrations and that the energy transfer between subsystems appears. The Lyapunov exponents corresponding to each of two eigenmodes of the hybrid system, as well as to the subsystems are obtained and expressed by using energy of the corresponding eigentime components. The Lyapunov exponents are measures of the vibration processes stability in the hybrid system and in component subsystem vibrations.
Keywords: Analytical solution | Hybrid system | Lyapunov exponents | Standard light hereditary element | Transfer of energy between subsystems | Viscoelastic constraint
Publisher: Springer Link
Project: Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials 

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