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Vibrations of Continuous Systems

Theory and Applications

  • Eberhard Brommundt
Book

Part of the International Centre for Mechanical Sciences book series (CISM, volume 1)

Table of contents

  1. Front Matter
    Pages 1-3
    PDF
  2. Introduction
    Eberhard Brommundt
    Pages 5-8
  3. Continuous systems
    Eberhard Brommundt
    Pages 9-11
  4. Some classical, conservative, linear systems
    Eberhard Brommundt
    Pages 12-21
  5. Wave solutions
    Eberhard Brommundt
    Pages 22-27
  6. Other forms of the equations of motion for linear, finite systems
    Eberhard Brommundt
    Pages 28-31
  7. Separation of variables; boundary value problem; eigenvalue problem
    Eberhard Brommundt
    Pages 32-43
  8. Forced vibrations
    Eberhard Brommundt
    Pages 44-48
  9. Methods to calculate eigenvalues of conservative systems
    Eberhard Brommundt
    Pages 49-65
  10. Relations between stability and vibrations of conservative systems (Example: Compressed bar)
    Eberhard Brommundt
    Pages 66-68
  11. Equations of motion for (nonlinear) nonconservative systems
    Eberhard Brommundt
    Pages 69-76
  12. Damping (linear)
    Eberhard Brommundt
    Pages 77-91
  13. Some remarks on the separability of damped systems and non-self-adjoint eigenvalue problems
    Eberhard Brommundt
    Pages 92-95
  14. Lyapunov’s definition of stability
    Eberhard Brommundt
    Pages 96-101
  15. Kinetic stability of autonomous systems
    Eberhard Brommundt
    Pages 102-116
  16. Kinetic stability of non-autonomous systems
    Eberhard Brommundt
    Pages 117-134
  17. Nonlinear vibrations of autonomous systems
    Eberhard Brommundt
    Pages 135-159
  18. Nonlinear vibrations of nonautonomous systems
    Eberhard Brommundt
    Pages 160-182
  19. Asymptotic methods
    Eberhard Brommundt
    Pages 183-199
  20. Investigation of bifurcation points
    Eberhard Brommundt
    Pages 200-210
  21. Back Matter
    Pages 211-219
    PDF

About this book

Keywords

Vibrations engineering mechanics physics vibration

Authors and affiliations

  • Eberhard Brommundt
    • 1
  1. 1.Technical University of DarmstadtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2918-0
  • Copyright Information CISM Udine 1969
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-81305-8
  • Online ISBN 978-3-7091-2918-0
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site