Overview
- Novel methodologies with direct applicability to challenging and often encountered problems of continuous mechanic systems
- New theoretical as well as numerical approaches for continuous elastic systems
- Special focus on non-homogeneous continua with complicated boundary conditions
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
"The authors put together a unique monograph on an interesting array of elastodyamic subjects. … The work is presented in the manner of a series of seminars. Thus it is very appealing to the professional who wishes to focus on the physics and macroscopic mathematics of the subject. An excellent list of references is provided for the interested reader to pursue the mathematical depth of the topic presented. … it is an excellent reference … in the field of elasto-dynamics to have on the shelf." (J. Genin, Zentralblatt MATH, Vol. 1064, 2005)
Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Dynamics of Continuous Elastic Systems
Authors: Jan Awrejcewicz, Vadim A. Krys’ko, Alexander F. Vakakis
DOI: https://doi.org/10.1007/978-3-662-08992-7
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-20515-9Published: 23 March 2004
Softcover ISBN: 978-3-642-05810-3Published: 30 November 2010
eBook ISBN: 978-3-662-08992-7Published: 14 March 2013
Edition Number: 1
Number of Pages: XII, 342
Topics: Mathematical and Computational Engineering, Applications of Mathematics, Theoretical and Applied Mechanics, Complex Systems, Computational Intelligence, Vibration, Dynamical Systems, Control