Instability of Continuous Systems

Symposium Herrenalb (Germany) September 8–12, 1969

  • Horst Leipholz
Conference proceedings

Table of contents

  1. Front Matter
    Pages I-XII
  2. T. Ellingsen, B. Gjevik, E. Palm
    Pages 61-64
  3. H. Ziegler
    Pages 96-111
  4. P. C. Parks
    Pages 125-131
  5. M. Dikmen
    Pages 188-193
  6. M. Cotsaftis
    Pages 204-214
  7. G. Herrmann
    Pages 238-247
  8. R. J. Knops, L. E. Payne
    Pages 248-255
  9. B. D. Coleman
    Pages 272-283
  10. A. C. Newell, J. A. Whitehead
    Pages 284-289
  11. J. Christoffersen
    Pages 317-328
  12. K. Neale, J. Schroeder
    Pages 329-333
  13. A. H. Chilver, K. C. Johns
    Pages 334-337
  14. J. M. T. Thompson, G. W. Hunt
    Pages 338-343

About these proceedings


Until recently there was no uniform stability theory. Different approaches to stability problems had been developed in the different branches of mechanics. In the field of elasticity, it was mainly the so­ called static method and energy method which were used, while in the field of dynamics it was the kinetic method, which found its perfect expression in the theory of Liapunov. During the last few decades there has been a rapid development in the general theory of stability, stimulated, for example, by the investigations of H. ZIEGLER on elastic systems subject to non-conservative loads, and by the problems arising in aeroelasticity which are closely related to those introduced by ZIEGLER. The need was felt for kinetic methods which could also be used in investigating the stability of deformable systems. Efforts were made to adapt such methods, already known and developed in the stability theory of rigid systems, for application in the stability theory of continuous systems. During the last ten years interest was focused mainly on the application of a generalized Liapunov method to stability problems of continuous systems. All this was done in attempts to unify the various approaches to stability theory. It was with the idea of encouraging such a tendency, establishing to what extent a uniform physical and mathematical foundation already existed for stability theory in all branches of mechanics, and stimulating the further deve­ lopment of a common stability theory, that a IUTAM-Symposium was devoted to this topic.


Profil Tragflügel continuum mechanics design elasticity energy fluid fluid flow fluid mechanics laminar flow materials mechanics plasticity stability uncertainty

Editors and affiliations

  • Horst Leipholz
    • 1
  1. 1.Solid Mechanics Division, Faculty of EngineeringUniversity of WaterlooWaterlooCanada

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1971
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-65075-8
  • Online ISBN 978-3-642-65073-4
  • Buy this book on publisher's site
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