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Optimal design of flexural systems : beams, grillages, slabs, plates, and shells /
Optimal Design of Flexural Systems.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1976.
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| Edición: | First edition. |
| Colección: | Pergamon international library of science, technology, engineering, and social studies.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Optimal Design of Flexural Systems: Beams, Grillages, Slabs, Plates and Shells; Copyright Page; Table of Contents; PREFACE; INTRODUCTION; SIGN CONVENTIONS; LIST OF SYMBOLS; CHAPTER 1. REVIEW OF SOME FUNDAMENTAL CONCEPTS; 1.1 Basic Variables in Structural Theories; 1.2 Fundamental Relations in Solid Mechanics; 1.3 Special Classes of Strain-Stress Relations; 1.4 Lower and Upper Bound Theorems of Plastic Limit Analysis; 1.5 Euler Equations; 1.6 Variational Problems with Equality Constraints; 1.7 Example
- Equality Constraints (Kaliszky's problem).
- 1.8 Variational Problems with Movable Boundaries and Variable Boundary Values1.9 Example
- Unspecified Boundary Values; 1.10 Variational Problems with Inequality Constraints; 1.11 Convexity, Local and Global Minima; 1.12 Uniqueness and Sufficiency; Minimum of Convex Function(al)s; 1.13 Example
- Inequality Constraints, Convexity and Dual Formulation (Heyman's Problem); 1.14 Mixed Variational Problems; 1.15 Example
- Mixed Variational Problem.
- 1.16 General Concepts in Optimal Design: Cost Functional, Structural Domain, Specific Cost, Behavioural and Geometric Constraints, Prescribed Cost Distribution1.17 Concluding Remarks; CHAPTER 2. OPTIMAL PLASTIC DESIGN
- SINGLE LOAD SYSTEM AND UNSPECIFIED COST DISTRIBUTION; 2.1 Introduction
- Static-Kinematic Approach; 2.2 Historical Review; 2.3 Specific Cost Function, Stress Space, Stress Regimes, Constituent Cost Functions, Cost Gradient Vector and Cost Gradient Surface; 2.4 The Prager-Shield Optimality Condition; 2.5 Example
- Optimal Plastic Design of a Circular Clamped Sandwich Plate.
- 2.6 Further Applications of the Prager-Shield Theory2.7 Proof of the Prager-Shield Optimality Criterion; 2.8 Upper and Lower Bounds on the Minimum Cost; 2.9 Dual Relation between Plastic Limit Analysis and Optimal Plastic Design; 2.10 Extension of the Prager-Shield Condition to Non-Convex Specific Cost Functions; 2.11 Optimal Plastic Design of Anisotropie Cylindrical Shells having a Variable Rib Depth; 2.12 Upper and Lower Limits on the Specific Cost; 2.13 Example
- Optimal Design of Fibre-Reinforced Plate with Prescribed Minimum Specific Fibre Volume.
- 2.14 Discontinuous Specific Cost FunctionsCHAPTER 3. OPTIMAL PLASTIC DESIGN
- ALTERNATE AND MOVING LOADS, MULTICOMPONENT SYSTEMS, PARTIALLY PREASSIGNED COST DISTRIBUTION AND GENERALISED COST FUNCTIONS; 3.1 Introduction; 3.2 Optimal Plastic Design for Alternate Loads; 3.3 Optimal Plastic Design of Multi-Component Systems; 3.4 Example
- Optimal Plastic Design of Fibre- Reinforced Plate for Alternate Loads; 3.5 Optimal Plastic Design for Moving Loads; 3.6 Optimal Plastic Design for Partially Prescribed Cost Distribution; 3.7 Example Beam of Partially Prescribed Cost Distribution.