Theory of Stability of Continuous Elastic Structures: 1st Edition (Hardback) book cover

Theory of Stability of Continuous Elastic Structures

1st Edition

By Mario Como, Antonio Grimaldi

CRC Press

272 pages

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Hardback: 9780849389900
pub: 1995-06-29
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Description

Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.

Table of Contents

An Introduction to Stability Analysis of Elastic Structural Systems

Introduction

A Review of the Common Approaches to Stability Analysis in Structural Engineering

A Review of the Energy Criteria of Stability for Finite Degrees of Freedom Systems

Conclusions

References

A Review of Some Functional Analysis Concepts

Introduction

Metric Spaces, Normed Spaces, and Branch Spaces

Finite and Infinite Dimensional Normed Spaces; Equivalence and Nonequivalence of Norms

Dense Subsets, Total Bounded, and Compact Spaces

Operators

Inner Product Spaces-Hilbert Spaces

Symmetric Positive, and Positive-Definite Operators and Their Energy Spaces

Calculus of Operators and Functionals-Extreme Values of Functionals

Generalized Derivatives and Sobolev Spaces

References

General Stability Analysis of Continuous Elastic Systems

Introduction

Formal Analysis of Stability

The Requirement of the Stability at the Unstressed State for a Physically Acceptable Theory of Stability-The Choice of the Energy Norm

Stability Analysis with Respect to the Energy Norm

References

Equilibrium Stability of Continuous Elastic Structures

Introduction

Buckling and Stability Analysis of the Undimensional Beam Model

Torsional-Flexural Buckling of Inextensible Rods

Basic Problems in Stability Analysis of Plates and Shells

Tridimensional Elasticity

References

Buckling of Continuous Elastic Structures

Introduction

The Structural Continuum-The General Formulation of the Neutral Equilibrium

The Additional Internal Work and the Neutral Equilibrium Equation

Comparisons with Other Formulations

Pure Strains in Curvilinear Coordinates

Buckling of Bars

Buckling by Torsion and Flexure of Thin-Walled Open Cross Sections

Lateral Buckling of Deep Beams

Buckling of Shells

References

Bifurcation or Snapping at the Critical State of Continuous Elastic Structures

Introduction

Equilibrium Paths of General Nonlinear Elastic Systems

Bifurcation of Perfect Systems

General Aspects of the Postcritical Behavior of Quasiperfect Structural Systems

Some Applications of the Initial Postbuckling Analysis

References

About the Series

Engineering Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General