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Structural Optimization : Status And Promise.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Reston :
American Institute of Aeronautics and Astronautics,
2000.
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| Colección: | Progress in astronautics and aeronautics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Cover""; ""Title""; ""Copyright""; ""Preface""; ""Table of Contents""; ""Chapter 1. Introduction: Historical Perspective and Future Directions""; ""Introduction""; ""History and Motivation""; ""Issues in Multidisciplinary Design Optimization""; ""Statement and Solution of the Optimization Problem""; ""Future Directions""; ""References""; ""Chapter 2. Fundamental Concepts of Optimum Design""; ""Nomenclature""; ""Introduction""; ""Optimum Design Model""; ""Basic Definitions and Existence of Solution""; ""Optimality Conditions""; ""Unconstrained Problem""; ""Constrained Problem""
- ""Global Optimality""""Postoptimality Analysis""; ""Changes in Constraint Limit""; ""Scaling of Cost Function""; ""Scaling of Constraint""; ""Duality in Nonlinear Programming""; ""Problem with Equality Constraints""; ""Problem with Inequality Constraints""; ""Summary""; ""References""; ""Chapter 3. Mathematical Programming Methods for Constrained Optimization: Primal Methods""; ""Introduction""; ""Basic Concepts""; ""Optimization Process""; ""Optimization Algorithms""; ""Steepest Descent Method""; ""Conjugate Gradient Method""; ""Sequential Unconstrained Minimization Techniques""
- ""Method of Feasible Directions""""Modified Method of Feasible Directions""; ""Sequential Linear Programming Method""; ""Sequential Quadratic Programming""; ""Approximate Structural Optimization Problem""; ""Examples""; ""Portal Frame""; ""18-Bar Truss""; ""Summary""; ""References""; ""Chapter 4. Function Approximations""; ""Introduction""; ""Local Approximations""; ""Approximations Based on Zeroth- and First-Order Function Information""; ""Differential Equation-Based Approximation""; ""Approximations Based on Higher-Order Function Information""; ""Global Approximations""
- ""Response Surface Approach""""Neural Networks""; ""Intermediate Variables and Response Quantities""; ""Midrange Approximations""; ""Multipoint Approximations""; ""Scaling or Local-Global Approximations""; ""Concluding Remarks""; ""References""; ""Chapter 5. Sequential Linearization and Quadratic Programming Techniques""; ""Nomenclature""; ""Introduction""; ""Design Optimization Model""; ""Basic Concepts and Definitions""; ""Constraint Status at a Design Point""; ""Constraint Normalization""; ""Potential Constraint Strategy""; ""Descent Function""; ""Convergence of an Algorithm""
- ""Good Algorithm: A Definition""""Linearization of the Problem""; ""Sequential Linear Programming""; ""Sequential Quadratic Programming: Linearization Method""; ""Descent Function""; ""Step Size Determination""; ""CSD Algorithm""; ""Observations on the CSD Algorithm""; ""Use of Potential Set Strategy""; ""Sequential Quadratic Programming: Quasi-Newton Methods""; ""Derivation of Quadratic Programming Subproblem""; ""Quasi-Newton Hessian Approximation""; ""SQP Algorithm""; ""Descent Functions""; ""Numerical Implementation Aspects""; ""Applications of SQP""