Authors:
- Offers an overview of three related subjects (stability, vibration and dynamic stability), which are usually taught separately in university courses
- Discusses key equations and their derivation for studying instability and vibrational modes
- Presents numerical tools for solving linear and non-linear problems
- Also relevant for engineers in industry, specifically because elastic supports are treated extensively
Part of the book series: Springer Tracts in Mechanical Engineering (STME)
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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 book offers an integrated introduction to the topic of stability and vibration. Strikingly, it describes stability as a function of boundary conditions and eigenfrequency as a function of both boundary conditions and column force. Based on a post graduate course held by the author at the University of Southern Denmark, it reports on fundamental formulas and makes uses of graphical representation to promote understanding. Thanks to the emphasis put on analytical methods and numerical results, the book is meant to make students and engineers familiar with all fundamental equations and their derivation, thus stimulating them to write interactive and dynamic programs to analyze instability and vibrational modes.Â
Keywords
- Displaced Static equilibrium
- Beam-column eigenfrequencies
- Eigenfrequency modes
- Instability modes
- Dynamic stability
- Flutter instability
- Divergence instability
- Timoshenko beam influence
- Material non-linearity
- Geometrical non-linearity
- Application of Berry functions
- Vibration and stability analysis course
- Boundary stiffnesses included
- Buckling with Winkler support
- Newton-Raphson method
- Buckling stresses
- Green-Lagrange strain model
- Discretized formulations
Authors and Affiliations
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Department of Technology and Innovation, University of Southern Denmark, Odense M, Denmark
Sine Leergaard Wiggers
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Department of Mechanical Engineering, Technical University of Denmark, Kgs. Lyngby, Denmark
Pauli Pedersen
Bibliographic Information
Book Title: Structural Stability and Vibration
Book Subtitle: An Integrated Introduction by Analytical and Numerical Methods
Authors: Sine Leergaard Wiggers, Pauli Pedersen
Series Title: Springer Tracts in Mechanical Engineering
DOI: https://doi.org/10.1007/978-3-319-72721-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-72720-2Published: 27 February 2018
Softcover ISBN: 978-3-319-89202-3Published: 06 June 2019
eBook ISBN: 978-3-319-72721-9Published: 16 February 2018
Series ISSN: 2195-9862
Series E-ISSN: 2195-9870
Edition Number: 1
Number of Pages: XVI, 158
Number of Illustrations: 33 b/w illustrations, 33 illustrations in colour
Topics: Vibration, Dynamical Systems, Control, Numerical and Computational Physics, Simulation, Mechanical Statics and Structures