Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures write by Leonid I. Manevitch. This book was released on 2017-07-25. Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures available in PDF, EPUB and Kindle. 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.
Problems of Nonlinear Mechanics and Physics of Materials
Problems of Nonlinear Mechanics and Physics of Materials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems of Nonlinear Mechanics and Physics of Materials write by Igor V. Andrianov. This book was released on 2018-07-31. Problems of Nonlinear Mechanics and Physics of Materials available in PDF, EPUB and Kindle. This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.
The Mechanics of Nonlinear Systems with Internal Resonances
The Mechanics of Nonlinear Systems with Internal Resonances - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mechanics of Nonlinear Systems with Internal Resonances write by Arkadiy I. Manevich. This book was released on 2005. The Mechanics of Nonlinear Systems with Internal Resonances available in PDF, EPUB and Kindle. One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.
Non-equilibrium Dynamics of Semiconductors and Nanostructures
Non-equilibrium Dynamics of Semiconductors and Nanostructures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-equilibrium Dynamics of Semiconductors and Nanostructures write by Kong Thon Tsen. This book was released on 2006. Non-equilibrium Dynamics of Semiconductors and Nanostructures available in PDF, EPUB and Kindle.
The Classical and Quantum Dynamics of the Multispherical Nanostructures
The Classical and Quantum Dynamics of the Multispherical Nanostructures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Classical and Quantum Dynamics of the Multispherical Nanostructures write by Gennadiy Burlak. This book was released on 2004. The Classical and Quantum Dynamics of the Multispherical Nanostructures available in PDF, EPUB and Kindle. In this book, the issues regarding the theory of optics and quantum optics of spherical multilayered systems are studied. In such systems the spatial scale of layers becomes comparable with the wavelength of radiation, which complicates the analysis of important quantities such as reflectivity and transmission.
