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- Includes supplementary material: sn.pub/extras
Part of the book series: Understanding Complex Systems (UCS)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
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)
Authors and Affiliations
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Dept. Automatics and, Biomechanics, Technical University Lodz, Lodz, Poland
Jan Awrejcewicz
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Dept. Mathematics/Mechanics, Saratov State University, Saratov, Russian Federation
Vadim Anatolevich Krys'ko
Bibliographic Information
Book Title: Chaos in Structural Mechanics
Authors: Jan Awrejcewicz, Vadim Anatolevich Krys'ko
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-540-77676-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-77675-8Published: 10 July 2008
Softcover ISBN: 978-3-642-09645-7Published: 22 October 2010
eBook ISBN: 978-3-540-77676-5Published: 11 November 2009
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 1
Number of Pages: XIII, 424
Number of Illustrations: 195 b/w illustrations
Topics: Vibration, Dynamical Systems, Control, Complex Systems, Mathematical and Computational Engineering, Systems Theory, Control, Statistical Physics and Dynamical Systems