Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

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 hi...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Manevitch, Leonid I. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Kovaleva, Agnessa (http://id.loc.gov/vocabulary/relators/aut), Smirnov, Valeri (http://id.loc.gov/vocabulary/relators/aut), Starosvetsky, Yuli (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Foundations of Engineering Mechanics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Introduction
  • Part I: Conservative systems
  • Two coupled oscillators
  • Two-particle systems under conditions of sonic vacuum
  • Emergence and bifurcations of LPTs in the chain of three coupled oscillators
  • Quasi-one-dimensional nonlinear lattices
  • Part II: Extensions to non-conservative systems
  • Duffing oscillators
  • Non-conventional synchronization of weakly coupled active oscillators
  • Limiting phase trajectories and the emergence of autoresonance in anharmonic oscillators
  • Part III: Applications
  • Targeted energy transfer
  • Nonlinear energy channeling in the 2D, locally resonant, systems
  • Nonlinear Targeted Energy Transfer and Macroscopic Analogue of the Quantum Landau-Zener Effect in Coupled Granular Chains
  • Forced pendulum
  • Classical analog of linear and quasi-linear quantum tunneling
  • Locally supported nonlinear lattices
  • Nonlinear vibrations of the carbon nanotubes
  • Conclusions.