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The stability of elastic systems /
The Stability of Elastic Systems.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Pergamon Press,
[1973]
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| Colección: | Pergamon unified engineering series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; The Stability ofElastic Systems; Copyright Page; Table of Contents; Preface; Introduction; Chapter1. Principal Forms of Equilibrium Paths and their Stability; 1-1 CONSERVATIVE ELASTIC SYSTEMS- GENERALIZED COORDINATES; 1-2 THE TOTAL POTENTIAL ENERGY FUNCTION- PRINCIPAL ORTHOGONAL COORDINATES OF DEFORMATION; 1-3 EQUILIBRIUM STATES AND STABILITY
- CRITICAL STATES CRITICAL AND NON- CRITICAL COORDINATES; 1-4 BRANCHING OF EQUILIBRIUM PATHS AT A CRITICAL POINT -THE BUCKLING BEHAVIOR; 1-5 STABILITY OF EQUILIBRIUM NEAR A SIMPLEBRANCHING POINT
- 1-6 SYMMETRY IN THE CRITICAL COORDINATE AT A SIMPLEBRANCHING POINT1-7 PERFECT ELASTIC SYSTEMSDEPENDING ON SEVERAL LOAD PARAMETERS-EQUILIBRIUM HYPER-SURFACES; 1-8 ELASTIC STRUCTURAL SYSTEMS WITH NON-ORTHOGONAL GENERALIZED COORDINATES- SOLUTION OF THE NON-LINEAR EQUILIBRIUM EQUATIONS AT A BRANCHING POINT; 1-9 SEVERAL CRITICAL COORDINATES- BRANCHING POINTS OF SYSTEMS WITH SEVERAL DEGREES OF FREEDOM; 1-10 SYMMETRICAL ELASTIC STRUCTURAL SYSTEMS -COMPLETE SYMMETRY; 1-11 BUCKLING OF GEOMETRICALLY IMPERFECT ELASTICSY STEMS- EQUILIBRIUM PATHS OF IMPERFECT SYSTEMS
- 1-12 EQUILIBRIUM PATHS OF IMPERFECT SYMMETRICAL SYSTEMS1-13 ADJACENT BRANCHING POINTS- COUPLED MODES OF ELASTIC BUCKLING; Chapter2. Analysis of Prismatic Members as Constitutive Elements of a System; 2-1 BUCKLING OF COMPRESSIVE MEMBERS IN A PLANE- FLEXURAL ELASTICA; 2-2 TRANSVERSE DEFORMATIONS; 2-3 GEOMETRICAL COMPATIBILITY; 2-4 COORDINATES OF DEFORMATION OF COMPRESSIVE MEMBERS; 2-5 INTERNAL FORCES; 2-6 INTERNAL ENERGY; 2-7 SUMMARY OF BASIC EQUATIONS FOR COMPRESSIVE MEMBERS- GENERALIZED EQUILIBRIUM EQUATIONS; 2-8 INFLECTIONAL ELASTICA OF TENSILE MEMBERS
- 2-9 SUMMARY OF BASIC EQUATIONS FOR INFLECTIONALTENSILE MEMBERS2-10 NON-INFLECTIONAL ELASTICA OF TENSILE MEMBERSNON-SYMMETRICAL CASES; 2-11 SUMMARY OF BASIC EQUATIONS FOR NON-SYMMETRICAL,NON-INFLECTIONAL TENSILE MEMBERS; 2-12 SUMMARY OF BASIC EQUATIONS FOR SYMMETRICALTENSILE MEMBERS; 2-13 CATEGORIES OF PRACTICAL DEFORMATIONS; 2-14 GENERALIZED EQUILIBRIUM EQUATIONS FOR SINGLE MEMBERS- BUCKLING OF PRISMATIC BARS; 2-15 THE FIRST-ORDER THEORY; 2-16 PIN-ENDED MEMBERS OR COLUMNS; Chapter3. Elastic Buckling and Stability of Statically Determinate Plane Frameworks
- 3-1 GENERAL FORMS OF THE FORCE-DISPLACEMENTRELATIONSHIPS FOR PERFECT MEMBERS3-2 ELASTIC BUCKLING OF ISOSTATIC FRAMES IN EQUILIBRIUMGENERALTHEORY; 3-3 ELASTIC STABILITY IN STATICAL EQUILIBRIUM; 3-4 APPLICATIONS OF THE THEORY- TESTS ON MODEL FRAMES; 3-5 EXPERIMENTAL DETERMINATION OF CRITICAL STATES -THE SOUTHWELL PLOT; 3-6 THE ENERGY METHOD- THE TOTAL POTENTIAL ENERGY SURFACES OF STATICALLY DETERMINATE FRAMEWORKS; 3-7 GRAPHICAL SOLUTION; Chapter 4. Elastic Buckling of ContinuousRigidly-jointed Plane Frameworks; 4-1 CRITICAL STATES-DISTINCTIONS BETWEEN BRACEDAND UNBRACED FRAMES