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© 2018

Structural Stability and Vibration

An Integrated Introduction by Analytical and Numerical Methods

Benefits

  • 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

Book

Part of the Springer Tracts in Mechanical Engineering book series (STME)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 1-4
  3. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 5-11
  4. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 13-22
  5. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 23-31
  6. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 33-39
  7. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 41-46
  8. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 47-57
  9. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 59-72
  10. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 73-84
  11. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 85-94
  12. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 95-104
  13. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 105-114
  14. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 115-122
  15. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 123-132
  16. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 133-140
  17. Sine Leergaard Wiggers, Pauli Pedersen
    Pages 141-152
  18. Back Matter
    Pages 153-158

About this book

Introduction

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. 

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

  1. 1.Department of Technology and InnovationUniversity of Southern DenmarkOdense MDenmark
  2. 2.Department of Mechanical EngineeringTechnical University of DenmarkKgs. LyngbyDenmark

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
  • Series Abbreviated Title Springer Tracts in Mechanical Engineering
  • DOI https://doi.org/10.1007/978-3-319-72721-9
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-72720-2
  • Softcover ISBN 978-3-319-89202-3
  • eBook ISBN 978-3-319-72721-9
  • 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
  • Buy this book on publisher's site
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