书目名称 | Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures |
编辑 | Leonid I. Manevitch,Agnessa Kovaleva,Yuli Starosve |
视频video | |
概述 | 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 fi |
丛书名称 | Foundations of Engineering Mechanics |
图书封面 |  |
描述 | .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 |
出版日期 | Book 2018 |
关键词 | Limiting Phase Trajectories; Nonlinear Oscillations; Resonance Energy Transport; Resonance Energy Excha |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-4666-7 |
isbn_softcover | 978-981-13-5195-2 |
isbn_ebook | 978-981-10-4666-7Series ISSN 1612-1384 Series E-ISSN 1860-6237 |
issn_series | 1612-1384 |
copyright | Springer Nature Singapore Pte Ltd. 2018 |