Advertisement

Structural Stability and Vibration

An Integrated Introduction by Analytical and Numerical Methods

  • Sine Leergaard Wiggers
  • Pauli Pedersen

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

  • Sine Leergaard Wiggers
    • 1
  • Pauli Pedersen
    • 2
  1. 1.Department of Technology and InnovationUniversity of Southern DenmarkOdense MDenmark
  2. 2.Department of Mechanical EngineeringTechnical University of DenmarkKgs. LyngbyDenmark

Bibliographic information

  • 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
  • Print ISBN 978-3-319-72720-2
  • Online ISBN 978-3-319-72721-9
  • Series Print ISSN 2195-9862
  • Series Online ISSN 2195-9870
  • Buy this book on publisher's site
Industry Sectors
Materials & Steel
Automotive
Chemical Manufacturing
Electronics
Consumer Packaged Goods
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering