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Stability, bifurcation, and postcritical behaviour of elastic structures /
A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both non...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
Elsevier,
1991.
|
| Colección: | Developments in civil engineering ;
v. 39. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Stability, Bifurcation and Postcritical Behaviour of Elastic Structures; Copyright Page; Dedication; Preface; Acknowledgements; Introduction; Table of Contents; Chapter 1. The Liapunov theory of equilibrium stability; 1.1 Introduction; 1.2 Differential equations; 1.3 Simple types of equilibrium points; 1.4 Equilibrium points of non-linear systems; 1.5 Stability of equilibrium according to Liapunov; 1.6 Theorems on the stability of equilibrium; 1.7 Analysis of the stability of equilibrium by linear approximation.
- 1.8 Criterion of negative real parts of all the roots of a polynomialReferences; Chapter 2. The stability of equilibrium and post-buckling behaviour of discrete mechanical systems; 2.1 Introduction; 2.2 Lagrange and Hamilton equations of motion; 2.3 Stability of equilibrium according to Liapunov; 2.4 Lagrange-Dirichlet theorem; 2.5 Theorems of Liapunov and Chetayev; 2.6 Analysis of the stability of linear systems; 2.7 Criterion of stability of discrete systems; 2.8 A system of one degree of freedom with stable symmetrical post-critical behaviour.
- 2.9 A system of one degree of freedom with unstable symmetrical post-critical behaviour2.10 A system of one degree of freedom with asymmetrical post-critical behaviour; 2.11 A system of one degree of freedom with non-linear pre-critical behaviour; 2.12 A system of two degrees of freedom; References; Chapter 3. Analysis of bifurcation for discrete systems. Characterisation of the points of an equilibrium path from examination of local properties; 3.1 Introduction; 3.2 Local analysis of the properties of points belonging to an equilibrium path.
- 3.3 Perturbation method in the asymptotic determination of regular equilibrium paths through a point Q3.4 Search for critical points along a known equilibrium path and local analysis of the bifurcated path in the vicinity of the bifurcation point; 3.5 Analysis of bifurcation for a system of two degrees of freedom; 3.6 Outlines of the analysis of bifurcation starting from an approximate equilibrium path; References; Chapter 4. Stability of equilibrium and post-critical behaviour of continuous systems; 4.1 Introduction; 4.2 Theorems of stability and instability.
- 4.3 Critical condition of equilibrium4.4 Criterion of stability of continuous systems; 4.5 Construction of equilibrium paths by means of perturbation analysis; References; Chapter 5. Analysis of beams and plane frames; 5.1 Introduction; 5.2 Beam models; 5.3 Critical load and post-critical behaviour of beams loaded axially at one end; 5.4 Particular problems; 5.5 Simply supported beam axially loaded at mid-span; 5.6 Stability of beams; 5.7 Symmetric, simply supported, two bar frame; 5.8 Hinged symmetrical portal frame.