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008 170725s2018 si | s |||| 0|eng d
020 _a9789811046667
_9978-981-10-4666-7
024 7 _a10.1007/978-981-10-4666-7
_2doi
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.3
_223
100 1 _aManevitch, Leonid I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_935376
245 1 0 _aNonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures
_h[electronic resource] /
_cby Leonid I. Manevitch, Agnessa Kovaleva, Valeri Smirnov, Yuli Starosvetsky.
250 _a1st ed. 2018.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2018.
300 _aXXII, 436 p. 194 illus., 116 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations of Engineering Mechanics,
_x1860-6237
505 0 _aIntroduction -- 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.
520 _aThis 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 are 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.
650 0 _aMultibody systems.
_96018
650 0 _aVibration.
_96645
650 0 _aMechanics, Applied.
_93253
650 0 _aCondensed matter.
_917064
650 0 _aNanotechnology.
_94707
650 0 _aThermodynamics.
_93554
650 0 _aHeat engineering.
_95144
650 0 _aHeat transfer.
_932329
650 0 _aMass transfer.
_94272
650 1 4 _aMultibody Systems and Mechanical Vibrations.
_932157
650 2 4 _aCondensed Matter Physics.
_914649
650 2 4 _aNanotechnology.
_94707
650 2 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
_932330
700 1 _aKovaleva, Agnessa.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_935377
700 1 _aSmirnov, Valeri.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_935378
700 1 _aStarosvetsky, Yuli.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_935379
710 2 _aSpringerLink (Online service)
_935380
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811046650
776 0 8 _iPrinted edition:
_z9789811046674
776 0 8 _iPrinted edition:
_z9789811351952
830 0 _aFoundations of Engineering Mechanics,
_x1860-6237
_935381
856 4 0 _uhttps://doi.org/10.1007/978-981-10-4666-7
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75780
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