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Problems of Nonlinear Mechanics and Physics of Materials

  • Book
  • © 2019

Overview

Editors:
  1. Igor V. Andrianov

    1. Institut für Allgemeine Mechanik, RWTH Aachen University, Aachen, Germany

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  2. Arkadiy I. Manevich

    1. Department of Theoretical and Computational Mechanics, Dnepropetrovsk National University, Dnipro, Ukraine

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  3. Yuri V. Mikhlin

    1. Department of Applied Mathematics, National Technical University, Kharkov, Ukraine

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  4. Oleg V. Gendelman

    1. Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa, Israel

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  • Presents discussions on current problems in a number of topical areas of nonlinear dynamics and physics
  • Is dedicated to Professor Leonid I. Manevitch, an outstanding scholar, on the occasion of his 80th birthday
  • Includes contributions from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 94)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Stationary and Non-stationary Dynamics of Oscillators and Oscillatory Chains

    1. Front Matter

      Pages 1-1
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    2. Wide Frequency Higher-Order Dynamic Model for Transient Waves in a Lattice

      • Igor V. Andrianov, Vladyslav V. Danishevskyy, Julius D. Kaplunov, Bernd Markert
      Pages 3-12

    3. Analysis of the Beating States in the System of Nonlinearly Coupled Parametrically Forced Oscillators

      • V. Kislovsky, Y. Starosvetsky
      Pages 13-23

    4. Is Energy Localization Possible in the Conditions of Non-local Acoustic Vacuum?

      • Irina P. Koroleva (Kikot), Leonid I. Manevitch
      Pages 25-38

    5. Phase Dynamics of Intrinsic Localized Modes in Two Weakly Coupled Nonlinear Chains and Correspondence Between Periodic Tunneling of Classical and Quantum Objects

      • Yuriy A. Kosevich
      Pages 39-52

    6. Non-linear Beatings as Non-stationary Synchronization of Weakly Coupled Autogenerators

      • Margarita A. Kovaleva, Leonid I. Manevitch, Valery N. Pilipchuk
      Pages 53-83

    7. Normal Modes of Chaotic Vibrations and Transient Normal Modes in Nonlinear Systems

      • Yuri V. Mikhlin, Katarina Yu. Plaksiy, Tatyana V. Shmatko, Gayane V. Rudneva
      Pages 85-100

    8. Advanced Nonlinear System Identification for Modal Interactions in Nonlinear Structures: A Review

      • K. J. Moore, A. Mojahed, M. Kurt, M. Eriten, D. M. McFarland, L. A. Bergman et al.
      Pages 101-118

    9. Non-smooth Spatial and Temporal Substitutions in Impact Dynamics

      • Valery N. Pilipchuk
      Pages 119-140

    10. Revolution of Pendula: Rotational Dynamics of the Coupled Pendula

      • Valeri V. Smirnov
      Pages 141-156

    11. Plane Motion of a Rigid Body Suspended on Nonlinear Spring-Damper

      • Roman Starosta, Grażyna Sypniewska-Kamińska, Jan Awrejcewicz
      Pages 157-170

  3. Molecular Dynamics of Polymer Crystals and Nanostructures

    1. Front Matter

      Pages 171-171
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    2. Supermolecular Structure Formation During Electrospinning, and Its Effect on Electrospun Polymer Nanofiber Unique Features

      • Arkadii Arinstein
      Pages 173-204

    3. Recent Developments in Theory and Modeling of Polymer-Based Nanocomposites

      • Valeriy V. Ginzburg
      Pages 205-224

    4. B\(\leftrightarrow \)A Transition in a Short DNA Molecule

      • Natalya A. Kovaleva, Elena A. Zubova
      Pages 225-240

    5. 2D Chain Models of Nanoribbon Scrolls

      • Alexander V. Savin, Mikhail A. Mazo
      Pages 241-262

    6. Interaction Between DNA Molecule and Nanosize Pore

      • Robert A. Turusov
      Pages 263-270

  4. Condensed Matter Mechanics and Physics

    1. Front Matter

      Pages 271-271
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    2. Wave-Particle Duality and Quantum-Classical Analogy

      • Leonid I. Manevitch
      Pages 273-301
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Keywords

About this book

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.


Editors and Affiliations

  • Institut für Allgemeine Mechanik, RWTH Aachen University, Aachen, Germany

    Igor V. Andrianov

  • Department of Theoretical and Computational Mechanics, Dnepropetrovsk National University, Dnipro, Ukraine

    Arkadiy I. Manevich

  • Department of Applied Mathematics, National Technical University, Kharkov, Ukraine

    Yuri V. Mikhlin

  • Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa, Israel

    Oleg V. Gendelman

About the editors

Prof. Yuri V. Mikhlin has a position at Dept. of Applied Mathematics, National Technical University “Kharkov Polytechnical Institute”, Ukraine. He has near 50 years of experience in Nonlinear Dynamics and Applied Mathematics. His priority scientific results were published in leading int. journals. Organizer and chair for few int. conferences and symposia. Memberships in Editorial Board of the journals: Nonlinear Dynamics; Int. Journal of Nonlinear Mechanics; Journal of Mechanical Engineering Science.

Dr. Sci. Arkadiy I. Manevich is a Professor at Theoretical and Computational Mechanics Department of Dniepr National University (Ukraine). The main areas of his scientific work are dynamics, stability and optimal design of linear and nonlinear multidimensional systems, in particular, thin-walled structures. He is author and coauthor of six monographs published in England, Poland and Ukraine, and approximately of 300 papers, mainly in famous scientific journals and proceedings ofinternational congresses and conferences


Bibliographic Information

  • Book Title: Problems of Nonlinear Mechanics and Physics of Materials

  • Editors: Igor V. Andrianov, Arkadiy I. Manevich, Yuri V. Mikhlin, Oleg V. Gendelman

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-92234-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2019

  • Hardcover ISBN: 978-3-319-92233-1Published: 11 August 2018

  • Softcover ISBN: 978-3-030-06389-4Published: 20 December 2018

  • eBook ISBN: 978-3-319-92234-8Published: 31 July 2018

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XVI, 527

  • Number of Illustrations: 88 b/w illustrations, 118 illustrations in colour

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials, Classical Mechanics

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