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Foundations of Engineering Mechanics

Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

Authors: Manevitch, L.I., Kovaleva, A., Smirnov, V., Starosvetsky, Y.

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  • Suggests a new common approach to the study of resonance energy transport based on the concept of Limiting Phase Trajectories
  • Discusses applications to significant nonlinear problems from different fields of physics and mechanics
  • Includes careful mathematical analysis, which is of interest to researchers working on the theory of nonlinear oscillations or algorithms
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eBook $139.00
price for USA in USD (gross)
  • ISBN 978-981-10-4666-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-981-10-4665-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-981-13-5195-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-981-10-4666-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-981-10-4665-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-981-13-5195-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures
Authors
Series Title
Foundations of Engineering Mechanics
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-4666-7
DOI
10.1007/978-981-10-4666-7
Hardcover ISBN
978-981-10-4665-0
Softcover ISBN
978-981-13-5195-2
Series ISSN
1612-1384
Edition Number
1
Number of Pages
XXII, 436
Number of Illustrations
78 b/w illustrations, 116 illustrations in colour
Topics