Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

Agnessa Kovaleva, Leonid I. Manevitch, Valeri Smirnov, Yuli Starosvetsky


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This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting  applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept a

re motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.

Détails
Auteur
Agnessa  Kovaleva , Leonid I.  Manevitch , Valeri  Smirnov , Yuli  Starosvetsky
Marque
Springer
Collection
Foundations of Engineering Mechanics
Parution
2017-07-25
Pages
436 pages
EAN papier
9789811046650
Langue
Anglais
Informations ebook
EAN PDF
9789811046667
Prix
96,29 €
En savoir plus
Nb pages copiables 4
Nb pages imprimables 43
Taille du fichier 17531 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
EAN EPUB
9789811046667
Prix
96,29 €
En savoir plus
Nb pages copiables 4
Nb pages imprimables 43
Taille du fichier 11878 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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