Authors: Hedrih, Katica (Stevanović) 
Title: Dynamics of coupled systems
Journal: Nonlinear Analysis: Hybrid Systems
Volume: 2
Issue: 2
First page: 310
Last page: 334
Issue Date: 1-Jun-2008
ISSN: 1751-570X
DOI: 10.1016/j.nahs.2006.06.003
A survey in the form of a review of the author's research results in the area of dynamics of coupled rotations and coupled systems is presented. The theorem on the existence of a trigger of the coupled singularities and the separatrix in the form of the number eight is presented with a few examples of coupled rotations of the simple systems with debalances. Also, a survey of models and dynamics of coupled systems composed of a number of deformable bodies (plates, beams or belts) with different properties of materials and discrete layer properties is presented and mathematically described. The constitutive stress-strain relations for materials of the coupled sandwich structure elements are presented for different properties: elastic, viscoelastic and creeping. The characteristic modes of the coupled system vibrations are obtained and analyzed for different kinds of materials and structure composition. The visualization of the characteristic numbers and modes and eigenamplitude forms are presented. Structural analysis of sandwich structure vibrations is done. © 2006 Elsevier Ltd. All rights reserved.
Keywords: Coupled dynamical processes | Coupled rotations | Coupled rotors | Coupled singularities | Coupled structures | Coupled systems | Creep | Double beam system | Double belt system | Double plate system | Elastic | Fractional order derivative | Lyapunov exponents | Multifrequency | Partial fractional-order differential equations | Partial integro-differential equations | Sandwich structures | Stochastic Itô differential equations | Trigger | Vibrations | Visco-elastic
Publisher: Elsevier
Project: Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials 

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