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Stability Theory and Its Applications To Structural Mechanics (74 Edition)

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Publisher Comments:

An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches

Book News Annotation:

Integrating modern work in structural stability theory with mathematical notions of stability of motion, this work focuses on the Koiter postbuckling analyses. In relation to discrete and continuous systems, it bases minimum energy principles for static stability on the dynamic concepts of stability of motion, and develops asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches. Material can be covered in a one-semester introductory course. Dym is affiliated with Harvey Mudd College. This is an unabridged republication of a book published by Noordhoff International Publishing Leyden, The Netherlands, in 1974.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Self-contained text focuses on Koiter postbuckling analyses, with mathematical notions of stability of motion. Basing minimum energy principles for static stability upon dynamic concepts of stability of motion, it develops asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches. 1974 edition.

Table of Contents

  Preface

1. General notions; agenda

2. Some geometric theory

  2.1 Definitions of stability

  2.2 Equilibrium phase plane analysis

  2.3 General phase plane analysis

  2.4 Summary

  References

3. Autonomous system stability

  3.1 Criteria for linear autonomous systems

  3.2 The Lyapunov function--Definition and stability theorems

  3.3 Some Lyapunov function applications

  3.4 The theorem of minimum potential energy

  3.5 Summary

  References

4. Stability concepts for continuous systems

  4.1 Lyapunov functionals for column stability

  4.2 Definitions and theorems for Lyapunov functionals

  4.3 The minimum potential energy criterion

  4.4 Summary

  References

5. Some results from nonlinear elasticity theory

  5.1 Large bending deflections of columns

  5.2 The von Kármán theory of plates

  5.3 Some arch equations

  5.4 Summary

  References

6. Buckling and postbuckling of elastic columns

  6.1 Energy criteria for column buckling

  6.2 Imperfection and kinetic criteria for buckling

  6.3 The elastica

  6.4 Asymptotic analysis--Initial postbuckling behavior

  6.5 Discussion of the Koiter asymptotic analysis

  6.6 Asymptotic analysis--the Budiansky-Hutchinson approach

  6.7 Summary

  References

7. Buckling and postbuckling of elastic plates

  7.1 Energy criteria for rectangular plates

  7.2 Buckling of circular plates

  7.3 Postbuckling behavior of circular plates

  7.4 Postbuckling of rectangular plates

  7.5 Summary

  References

8. Buckling and postbuckling of circular arches

  8.1 The shallow arch--A closed-form solution

  8.2 Asymptotic analysis for arches

  8.3 Shallow arch results

  8.4 Steep arch results

  8.5 Summary

  References

9. Some applications of Lyapunov functionals

  9.1 The wave equation

  9.2 A hydrodynamics problem

  9.3 Linear anisotropic elasticity

  9.4 An aeroelastic problem

  9.5 Instability of an Euler column

  9.6 A bounding example

  9.7 Summary

  References

  Index to authors; Subject index

Product Details

ISBN:
9780486425412
Author:
Dym, Clive L.
Publisher:
Dover Publications
Author:
Engineering
Location:
Mineola, N.Y.
Subject:
Engineering - Civil
Subject:
Structural stability
Subject:
Civil
Subject:
Civil Engineering-General
Edition Description:
Trade Paper
Series:
Dover Civil and Mechanical Engineering
Series Volume:
No. 39.
Publication Date:
20020931
Binding:
TRADE PAPER
Language:
English
Illustrations:
23 Figs., 4 Tables
Pages:
208
Dimensions:
8.5 x 5.38 in 0.5 lb

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Product details 208 pages Dover Publications - English 9780486425412 Reviews:
"Synopsis" by ,
Self-contained text focuses on Koiter postbuckling analyses, with mathematical notions of stability of motion. Basing minimum energy principles for static stability upon dynamic concepts of stability of motion, it develops asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches. 1974 edition.
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