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Nonlinear Dynamics of Continuous Elastic Systems

  • Jan Awrejcewicz
  • Vadim A. Krys’ko
  • Alexander F. Vakakis

Table of contents

  1. Front Matter
    Pages I-XI
  2. Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
    Pages 1-91
  3. Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
    Pages 93-176
  4. Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
    Pages 177-238
  5. Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
    Pages 239-268
  6. Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
    Pages 269-314
  7. Back Matter
    Pages 315-341

About this book

Introduction

This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.

Keywords

Added Masses Analysis Local Nonlinearities Non-Homogeneous Continua Nonlinear Dynamics of Continuous Systems Plates and Shells Proper Orthogonal Decomposition Vibration Vibro-Impact Nonlinearities modeling

Authors and affiliations

  • Jan Awrejcewicz
    • 1
  • Vadim A. Krys’ko
    • 2
  • Alexander F. Vakakis
    • 3
  1. 1.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  2. 2.Dept. of Mathematics/MechanicsSaratov State Technical UniversitySaratovRussia
  3. 3.Dept. of Mechanical EngineeringNational Technical University of AthensAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-08992-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05810-3
  • Online ISBN 978-3-662-08992-7
  • Buy this book on publisher's site
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