Overview
- Reports on original methods and solutions for vibration analysis of complex beam systems
- Offers a detailed presentation of theoretical investigations of both linear vibrations of elastically connected beams and geometrically nonlinear vibrations of damaged beams
- Describes a new, improved p-version of the finite element method for dealing with geometrically non-linear vibrations of damaged Timoshenko beams
Part of the book series: Springer Tracts in Mechanical Engineering (STME)
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About this book
This book reports on solved problems concerning vibrations and stability of complex beam systems. The complexity of a system is considered from two points of view: the complexity originating from the nature of the structure, in the case of two or more elastically connected beams; and the complexity derived from the dynamic behavior of the system, in the case of a damaged single beam, resulting from the harm done to its simple structure. Furthermore, the book describes the analytical derivation of equations of two or more elastically connected beams, using four different theories (Euler, Rayleigh, Timoshenko and Reddy-Bickford). It also reports on a new, improved p-version of the finite element method for geometrically nonlinear vibrations. The new method provides more accurate approximations of solutions, while also allowing us to analyze geometrically nonlinear vibrations. The book describes the appearance of longitudinal vibrations of damaged clamped-clamped beams as a result of discontinuity (damage). It describes the cases of stability in detail, employing all four theories, and provides the readers with practical examples of stochastic stability. Overall, the book succeeds in collecting in one place theoretical analyses, mathematical modeling and validation approaches based on various methods, thus providing the readers with a comprehensive toolkit for performing vibration analysis on complex beam systems.
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Keywords
Table of contents (8 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Vibrations and Stability of Complex Beam Systems
Authors: Vladimir Stojanović, Predrag Kozić
Series Title: Springer Tracts in Mechanical Engineering
DOI: https://doi.org/10.1007/978-3-319-13767-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-13766-7Published: 16 March 2015
Softcover ISBN: 978-3-319-36731-6Published: 06 October 2016
eBook ISBN: 978-3-319-13767-4Published: 07 February 2015
Series ISSN: 2195-9862
Series E-ISSN: 2195-9870
Edition Number: 1
Number of Pages: XII, 166
Number of Illustrations: 54 b/w illustrations, 19 illustrations in colour
Topics: Vibration, Dynamical Systems, Control, Computational Mathematics and Numerical Analysis, Building Construction and Design