Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

Inbunden, Engelska, 2017

AvLeonid I. Manevitch,Agnessa Kovaleva,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.

Produktinformation

Utgivningsdatum2017-08-03
Mått155 x 235 x 31 mm
Vikt852 g
FormatInbunden
SpråkEngelska
SerieFoundations of Engineering Mechanics
Antal sidor436
Upplaga17001
FörlagSpringer Verlag, Singapore
ISBN9789811046650

Tillhör följande kategorier

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 coupledoscillators.- 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.