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Understanding Complex Systems

Chaos in Structural Mechanics

Authors: Awrejcewicz, Jan, Krys'ko, Vadim Anatolevich

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eBook 107,09 €
price for India (gross)
  • ISBN 978-3-540-77676-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 159,99 €
price for India (gross)
  • ISBN 978-3-540-77675-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 130,83 €
price for India (gross)
  • ISBN 978-3-642-09645-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof.

The approach draws upon the well-established fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the Bubnov-Galerkin method, are thus described in detail.

Reviews

From the reviews:

"This monograph is devoted to nonlinear oscillations of homogeneous and composite beams, plates and shells. … The monograph is well written and well organized. Strength of the book is the quantity and variety of example of nonlinear systems. This book is accessible to readers with a fundamental knowledge of ordinary and partial differential equations and linear and nonlinear theory of plates and shells. The book can be highly recommended to experts in mechanics of thin-walled structures." (Igor Andrianov, Zentralblatt MATH, Vol. 1144, 2008)

"The monograph under review is devoted to modeling nonlinear and non-homogeneous structural elements as well as to developing efficient computational algorithms for investigating the strongly nonlinear behavior of either continuous or hybrid continuous/lumped interacting mechanical systems. … The complexity of nonlinear continuous mechanical systems revealed, together with the mathematical and numerical techniques developed for the analysis of such systems, is the main value of this monograph." (Minvydas Ragulskis, Mathematical Reviews, Issue 2009 g)


Table of contents (16 chapters)

  • Introduction

    Awrejcewicz, Jan (et al.)

    Pages 1-13

    Preview Buy Chapter 24,95 €
  • Theory of Non-homogeneous Shells

    Awrejcewicz, Jan (et al.)

    Pages 15-40

    Preview Buy Chapter 24,95 €
  • Static Instability of Rectangular Plates

    Awrejcewicz, Jan (et al.)

    Pages 41-93

    Preview Buy Chapter 24,95 €
  • Vibrations of Rectangular Shells

    Awrejcewicz, Jan (et al.)

    Pages 95-121

    Preview Buy Chapter 24,95 €
  • Dynamic Loss of Stability of Rectangular Shells

    Awrejcewicz, Jan (et al.)

    Pages 123-149

    Preview Buy Chapter 24,95 €

Buy this book

eBook 107,09 €
price for India (gross)
  • ISBN 978-3-540-77676-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 159,99 €
price for India (gross)
  • ISBN 978-3-540-77675-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 130,83 €
price for India (gross)
  • ISBN 978-3-642-09645-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Chaos in Structural Mechanics
Authors
Series Title
Understanding Complex Systems
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-77676-5
DOI
10.1007/978-3-540-77676-5
Hardcover ISBN
978-3-540-77675-8
Softcover ISBN
978-3-642-09645-7
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XIII, 424
Number of Illustrations
195 b/w illustrations
Topics