This book is the consequence of research undertaken by the authors in the field of advanced problems of structural mechanics. Stability analysis of structures comes under this area because of the complex models and computational methods needed for analysis. In the mid seventies, a joint effort began between a group of researchers and teachers of the Department of Civil Engineering and Computer Center of the Cracow University of Technology. One of the important results of the collaboration has been this publication.

Table of Contents

Preface. 1. Introduction. 1.1. Theory of stability and finite element method. 1.2. Aims, assumptions and contents of the book. 2. Foundations of the Theory of Structural Stability. 2.1 Continuous structures and discrete systems. 2.2. Constraints and forces in discrete systems. 2.3. Stability of motion of discrete systems. 2.4. Linear autonomous systems. 2.5. Conservative and dissipative discrete systems. 2.6. Critical and close postcritical states of conservative systems. 2.7. Stability of elastic-plastic systems. 2.8. Stability boundary for multiple parameter loads. 2.9. Instability of structures and theory of catastrophes. 3. Finite Element Method Equations for Structural Stability. 3.1 General remarks. 3.2. Basic equations for the analysis of large displacements. 3.3. Assembling of finite elements into set of FE. 3.4. Eigenvalue problems in the structural stability analysis. 3.5. Constraint equation and extended set of nonlinear equations. 4. Foundations of the Linear Theory of Buckling of Discrete Systems. 4.1. Main relations. 4.2. Algorithms for the analysis of linear buckling problems. 4.3. Evaluation of nonlinearity of the prebuckling state on example of a triangular frame. 5. Linear Buckling Analysis of Bar Structures. 5.1. Models of bars. 5.2. Buckling of plane beams and frames. 5.3. In-plane buckling of circular arches and rings. 5.4. Buckling of space framed structures of solid cross-sections. 5.5. Buckling of thin-walled bar structures. 6. Linear Buckling Analysis of Surface Structures. 6.1. Models of surface structures. 6.2. Simple plate elements. 6.3. Isoparametric shell elements. 6.4. Numerical analysis of homogeneous plates buckling. 6.5. Buckling of sandwich plates. 6.6. Buckling of plates with discrete stiffening. 6.7. Buckling of shells of revolution. 6.8. Buckling analysis of generals shells. 6.9. Elements with drilling degrees of freedom.


© 1994
Elsevier Science
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