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Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Applications of the Bubnov-Galerkin and Finite Difference Methods

  • Jan Awrejcewicz
  • Vadim A. Krysko
Book
  • 1.3k Downloads

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Jan Awrejcewicz, Vadim A. Krysko
    Pages 1-17
  3. Jan Awrejcewicz, Vadim A. Krysko
    Pages 19-119
  4. Jan Awrejcewicz, Vadim A. Krysko
    Pages 121-173
  5. Jan Awrejcewicz, Vadim A. Krysko
    Pages 175-189
  6. Jan Awrejcewicz, Vadim A. Krysko
    Pages 191-232
  7. Jan Awrejcewicz, Vadim A. Krysko
    Pages 233-244
  8. Jan Awrejcewicz, Vadim A. Krysko
    Pages 245-366
  9. Jan Awrejcewicz, Vadim A. Krysko
    Pages 367-413
  10. Jan Awrejcewicz, Vadim A. Krysko
    Pages 415-438
  11. Jan Awrejcewicz, Vadim A. Krysko
    Pages 439-450
  12. Jan Awrejcewicz, Vadim A. Krysko
    Pages 551-571
  13. Jan Awrejcewicz, Vadim A. Krysko
    Pages 573-586
  14. Back Matter
    Pages 587-602

About this book

Introduction

Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall state-of-the art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members.

The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.

 


Keywords

transonic gas flow thin elasto-plastic shells Bubnov-Galerkin method finite difference methods shallow shells flexible shells dynamics Sharkoskiy's periodicity closed cylindrical shells modified couple stress theory multi-layer beams wavelet analysis theoretical thermoelasticity vibration of plates non-linear theory of plates non-linear theory of shells Theory of Flexible Shallow Shells chaotic vibrations Kantorovich-Vlasov method Arganovskiy-Baglay-Smirnov method variational iteration method

Authors and affiliations

  • Jan Awrejcewicz
    • 1
  • Vadim A. Krysko
    • 2
  1. 1.Łódź University of TechnologyŁódźPoland
  2. 2.Department of Mathematics and ModelingSaratov State Technical UniversitySaratovRussia

Bibliographic information

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