http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
beams, grillages, slabs, plates, and shells
1 online resource (xvi, 297 pages) : illustrations
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.
Includes bibliographical references (pages 274-295) and index.
Pergamon international library of science, technology, engineering, and social studies