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Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal
| Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal |
| Autore | Haftka Raphael T |
| Edizione | [3rd ed. 1992.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 481 p.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Engineering Civil Engineering Classical Mechanics Engineering, general |
| ISBN | 94-011-2550-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Function Optimization and Parameter Optimization -- 1.2 Elements of Problem Formulation -- 1.3 The Solution Process -- 1.4 Analysis and Design Formulations -- 1.5 Specific Versus General Methods -- 1.6 Exercises -- 1.7 References -- 2. Classical Tools in Structural Optimization -- 2.1 Optimization Using Differential Calculus -- 2.2 Optimization Using Variational Calculus -- 2.3 Classical Methods for Constrained Problems -- 2.4 Local Constraints and the Minmax Approach -- 2.5 Necessary and Sufficient Conditions for Optimality -- 2.6 Use of Series Solutions in Structural Optimization -- 2.7 Exercises -- 2.8 References -- 3. Linear Programming -- 3.1 Limit Analysis and Design of Structures Formulated as LP Problems -- 3.2 Prestressed Concrete Design by Linear Programming -- 3.3 Minimum Weight Design of Statically Determinate Trusses -- 3.4 Graphical Solutions of Simple LP Problems -- 3.5 A Linear Program in a Standard Form -- 3.6 The Simplex Method -- 3.7 Duality in Linear Programming -- 3.8 An Interior Method—Karmarkar’s Algorithm -- 3.9 Integer Linear Programming -- 3.10 Exercises -- 3.11 References -- 4. Unconstrained Optimization -- 4.1 Minimization of Functions of One Variable -- 4.2 Minimization of Functions of Several Variables -- 4.3 Specialized Quasi-Newton Methods -- 4.4 Probabilistic Search Algorithms -- 4.5 Exercises -- 4.6 References -- 5. Constrained Optimization -- 5.1 The Kuhn-Tucker Conditions -- 5.2 Quadratic Programming Problems -- 5.3 Computing the Lagrange Multipliers -- 5.4 Sensitivity of Optimum Solution to Problem Parameters -- 5.5 Gradient Projection and Reduced Gradient Methods -- 5.6 The Feasible Directions Method -- 5.7 Penalty Function Methods -- 5.8 Multiplier Methods -- 5.9 Projected Lagrangian Methods (Sequential Quadratic Prog.) -- 5.10 Exercises -- 5.11 References -- 6. Aspects of the Optimization Process in Practice -- 6.1 Generic Approximations -- 6.2 Fast Reanalysis Techniques -- 6.3 Sequential Linear Programming -- 6.4 Sequential Nonlinear Approximate Optimization -- 6.5 Special Problems Associated with Shape Optimization -- 6.6 Optimization Packages -- 6.7 Test Problems -- 6.8 Exercises -- 6.9 References -- 7. Sensitivity of Discrete Systems -- 7.1 Finite Difference Approximations -- 7.2 Sensitivity Derivatives of Static Displacement and Stress Constraints -- 7.3 Sensitivity Calculations for Eigenvalue Problems -- 7.4 Sensitivity of Constraints on Transient Response -- 7.5 Exercises -- 7.6 References -- 8. Introduction to Variational Sensitivity Analysis -- 8.1 Linear Static Analysis -- 8.2 Nonlinear Static Analysis and Limit Loads -- 8.3 Vibration and Buckling -- 8.4 Static Shape Sensitivity -- 8.5 Exercise -- 8.6 References -- 9. Dual and Optimality Criteria Methods -- 9.1 Intuitive Optimality Criteria Methods -- 9.2 Dual Methods -- 9.3 Optimality Criteria Methods for a Single Constraint -- 9.4 Several Constraints -- 9.5 Exercises -- 9.6 References -- 10. Decomposition and Multilevel Optimization -- 10.1 The Relation between Decomposition and Multilevel Formulation -- 10.2 Decomposition -- 10.3 Coordination and Multilevel Optimization -- 10.4 Penalty and Envelope Function Approaches -- 10.5 Narrow-Tree Multilevel Problems -- 10.6 Decomposition in Response and Sensitivity Calculations -- 10.7 Exercises -- 10.8 References -- 11.Optimum Design of Laminated Composite Materials -- 11.1 Mechanical Response of a Laminate -- 11.2 Laminate Design -- 11.3 Stacking Sequence Design -- 11.4 Design Applications -- 11.5 Design Uncertainties -- 11.6 Exercises -- 11.7 References -- Name Index. |
| Record Nr. | UNINA-9910481050803321 |
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal
| Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal |
| Autore | Haftka Raphael T |
| Edizione | [3rd ed. 1992.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 481 p.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Engineering Civil Engineering Classical Mechanics Engineering, general |
| ISBN | 94-011-2550-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Function Optimization and Parameter Optimization -- 1.2 Elements of Problem Formulation -- 1.3 The Solution Process -- 1.4 Analysis and Design Formulations -- 1.5 Specific Versus General Methods -- 1.6 Exercises -- 1.7 References -- 2. Classical Tools in Structural Optimization -- 2.1 Optimization Using Differential Calculus -- 2.2 Optimization Using Variational Calculus -- 2.3 Classical Methods for Constrained Problems -- 2.4 Local Constraints and the Minmax Approach -- 2.5 Necessary and Sufficient Conditions for Optimality -- 2.6 Use of Series Solutions in Structural Optimization -- 2.7 Exercises -- 2.8 References -- 3. Linear Programming -- 3.1 Limit Analysis and Design of Structures Formulated as LP Problems -- 3.2 Prestressed Concrete Design by Linear Programming -- 3.3 Minimum Weight Design of Statically Determinate Trusses -- 3.4 Graphical Solutions of Simple LP Problems -- 3.5 A Linear Program in a Standard Form -- 3.6 The Simplex Method -- 3.7 Duality in Linear Programming -- 3.8 An Interior Method—Karmarkar’s Algorithm -- 3.9 Integer Linear Programming -- 3.10 Exercises -- 3.11 References -- 4. Unconstrained Optimization -- 4.1 Minimization of Functions of One Variable -- 4.2 Minimization of Functions of Several Variables -- 4.3 Specialized Quasi-Newton Methods -- 4.4 Probabilistic Search Algorithms -- 4.5 Exercises -- 4.6 References -- 5. Constrained Optimization -- 5.1 The Kuhn-Tucker Conditions -- 5.2 Quadratic Programming Problems -- 5.3 Computing the Lagrange Multipliers -- 5.4 Sensitivity of Optimum Solution to Problem Parameters -- 5.5 Gradient Projection and Reduced Gradient Methods -- 5.6 The Feasible Directions Method -- 5.7 Penalty Function Methods -- 5.8 Multiplier Methods -- 5.9 Projected Lagrangian Methods (Sequential Quadratic Prog.) -- 5.10 Exercises -- 5.11 References -- 6. Aspects of the Optimization Process in Practice -- 6.1 Generic Approximations -- 6.2 Fast Reanalysis Techniques -- 6.3 Sequential Linear Programming -- 6.4 Sequential Nonlinear Approximate Optimization -- 6.5 Special Problems Associated with Shape Optimization -- 6.6 Optimization Packages -- 6.7 Test Problems -- 6.8 Exercises -- 6.9 References -- 7. Sensitivity of Discrete Systems -- 7.1 Finite Difference Approximations -- 7.2 Sensitivity Derivatives of Static Displacement and Stress Constraints -- 7.3 Sensitivity Calculations for Eigenvalue Problems -- 7.4 Sensitivity of Constraints on Transient Response -- 7.5 Exercises -- 7.6 References -- 8. Introduction to Variational Sensitivity Analysis -- 8.1 Linear Static Analysis -- 8.2 Nonlinear Static Analysis and Limit Loads -- 8.3 Vibration and Buckling -- 8.4 Static Shape Sensitivity -- 8.5 Exercise -- 8.6 References -- 9. Dual and Optimality Criteria Methods -- 9.1 Intuitive Optimality Criteria Methods -- 9.2 Dual Methods -- 9.3 Optimality Criteria Methods for a Single Constraint -- 9.4 Several Constraints -- 9.5 Exercises -- 9.6 References -- 10. Decomposition and Multilevel Optimization -- 10.1 The Relation between Decomposition and Multilevel Formulation -- 10.2 Decomposition -- 10.3 Coordination and Multilevel Optimization -- 10.4 Penalty and Envelope Function Approaches -- 10.5 Narrow-Tree Multilevel Problems -- 10.6 Decomposition in Response and Sensitivity Calculations -- 10.7 Exercises -- 10.8 References -- 11.Optimum Design of Laminated Composite Materials -- 11.1 Mechanical Response of a Laminate -- 11.2 Laminate Design -- 11.3 Stacking Sequence Design -- 11.4 Design Applications -- 11.5 Design Uncertainties -- 11.6 Exercises -- 11.7 References -- Name Index. |
| Record Nr. | UNINA-9910789203703321 |
|
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of Structural Optimization / / by Raphael T. Haftka, Zafer Gürdal
| Elements of Structural Optimization / / by Raphael T. Haftka, Zafer Gürdal |
| Autore | Haftka Raphael T |
| Edizione | [3rd ed. 1992.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 481 p.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Engineering Civil Engineering Classical Mechanics Technology and Engineering |
| ISBN | 94-011-2550-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Function Optimization and Parameter Optimization -- 1.2 Elements of Problem Formulation -- 1.3 The Solution Process -- 1.4 Analysis and Design Formulations -- 1.5 Specific Versus General Methods -- 1.6 Exercises -- 1.7 References -- 2. Classical Tools in Structural Optimization -- 2.1 Optimization Using Differential Calculus -- 2.2 Optimization Using Variational Calculus -- 2.3 Classical Methods for Constrained Problems -- 2.4 Local Constraints and the Minmax Approach -- 2.5 Necessary and Sufficient Conditions for Optimality -- 2.6 Use of Series Solutions in Structural Optimization -- 2.7 Exercises -- 2.8 References -- 3. Linear Programming -- 3.1 Limit Analysis and Design of Structures Formulated as LP Problems -- 3.2 Prestressed Concrete Design by Linear Programming -- 3.3 Minimum Weight Design of Statically Determinate Trusses -- 3.4 Graphical Solutions of Simple LP Problems -- 3.5 A Linear Program in a Standard Form -- 3.6 The Simplex Method -- 3.7 Duality in Linear Programming -- 3.8 An Interior Method—Karmarkar’s Algorithm -- 3.9 Integer Linear Programming -- 3.10 Exercises -- 3.11 References -- 4. Unconstrained Optimization -- 4.1 Minimization of Functions of One Variable -- 4.2 Minimization of Functions of Several Variables -- 4.3 Specialized Quasi-Newton Methods -- 4.4 Probabilistic Search Algorithms -- 4.5 Exercises -- 4.6 References -- 5. Constrained Optimization -- 5.1 The Kuhn-Tucker Conditions -- 5.2 Quadratic Programming Problems -- 5.3 Computing the Lagrange Multipliers -- 5.4 Sensitivity of Optimum Solution to Problem Parameters -- 5.5 Gradient Projection and Reduced Gradient Methods -- 5.6 The Feasible Directions Method -- 5.7 Penalty Function Methods -- 5.8 Multiplier Methods -- 5.9 Projected Lagrangian Methods (Sequential Quadratic Prog.) -- 5.10 Exercises -- 5.11References -- 6. Aspects of the Optimization Process in Practice -- 6.1 Generic Approximations -- 6.2 Fast Reanalysis Techniques -- 6.3 Sequential Linear Programming -- 6.4 Sequential Nonlinear Approximate Optimization -- 6.5 Special Problems Associated with Shape Optimization -- 6.6 Optimization Packages -- 6.7 Test Problems -- 6.8 Exercises -- 6.9 References -- 7. Sensitivity of Discrete Systems -- 7.1 Finite Difference Approximations -- 7.2 Sensitivity Derivatives of Static Displacement and Stress Constraints -- 7.3 Sensitivity Calculations for Eigenvalue Problems -- 7.4 Sensitivity of Constraints on Transient Response -- 7.5 Exercises -- 7.6 References -- 8. Introduction to Variational Sensitivity Analysis -- 8.1 Linear Static Analysis -- 8.2 Nonlinear Static Analysis and Limit Loads -- 8.3 Vibration and Buckling -- 8.4 Static Shape Sensitivity -- 8.5 Exercise -- 8.6 References -- 9. Dual and Optimality Criteria Methods -- 9.1 Intuitive Optimality Criteria Methods -- 9.2 Dual Methods -- 9.3 Optimality Criteria Methods for a Single Constraint -- 9.4 Several Constraints -- 9.5 Exercises -- 9.6 References -- 10. Decomposition and Multilevel Optimization -- 10.1 The Relation between Decomposition and Multilevel Formulation -- 10.2 Decomposition -- 10.3 Coordination and Multilevel Optimization -- 10.4 Penalty and Envelope Function Approaches -- 10.5 Narrow-Tree Multilevel Problems -- 10.6 Decomposition in Response and Sensitivity Calculations -- 10.7 Exercises -- 10.8 References -- 11.Optimum Design of Laminated Composite Materials -- 11.1 Mechanical Response of a Laminate -- 11.2 Laminate Design -- 11.3 Stacking Sequence Design -- 11.4 Design Applications -- 11.5 Design Uncertainties -- 11.6 Exercises -- 11.7 References -- Name Index. |
| Record Nr. | UNINA-9910956071703321 |
|
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat
| Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat |
| Autore | Haftka Raphael T |
| Edizione | [2nd ed. 1990.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (XIV, 402 p. 14 illus.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Automotive engineering Mechanical engineering Civil Engineering Classical Mechanics Automotive Engineering Mechanical Engineering |
| ISBN | 94-015-7862-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Classical Tools in Structural Optimization -- 3. Linear Mathematical Programming -- 4. Unconstrained Optimization -- 5. Constrained Optimization -- 6. Aspects of the Optimization Process in Practice -- 7. Sensitivity of Discrete Systems -- 8. Introduction to Variational Sensitivity Analysis -- 9. Dual and Optimality Criteria Methods -- 10. Decomposition and Multilevel Optimization -- 11. Optimum Design of Laminated Composite Materials -- Name Index. . |
| Record Nr. | UNINA-9910480846103321 |
|
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat
| Elements of Structural Optimization [[electronic resource] /] / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat |
| Autore | Haftka Raphael T |
| Edizione | [2nd ed. 1990.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (XIV, 402 p. 14 illus.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Automotive engineering Mechanical engineering Civil Engineering Classical Mechanics Automotive Engineering Mechanical Engineering |
| ISBN | 94-015-7862-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Classical Tools in Structural Optimization -- 3. Linear Mathematical Programming -- 4. Unconstrained Optimization -- 5. Constrained Optimization -- 6. Aspects of the Optimization Process in Practice -- 7. Sensitivity of Discrete Systems -- 8. Introduction to Variational Sensitivity Analysis -- 9. Dual and Optimality Criteria Methods -- 10. Decomposition and Multilevel Optimization -- 11. Optimum Design of Laminated Composite Materials -- Name Index. . |
| Record Nr. | UNINA-9910792475603321 |
|
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of Structural Optimization / / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat
| Elements of Structural Optimization / / by Raphael T. Haftka, Zafer Gürdal, M.P. Kamat |
| Autore | Haftka Raphael T |
| Edizione | [2nd ed. 1990.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (XIV, 402 p. 14 illus.) |
| Disciplina | 624 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Civil engineering
Mechanics Automotive engineering Mechanical engineering Civil Engineering Classical Mechanics Automotive Engineering Mechanical Engineering |
| ISBN | 94-015-7862-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Classical Tools in Structural Optimization -- 3. Linear Mathematical Programming -- 4. Unconstrained Optimization -- 5. Constrained Optimization -- 6. Aspects of the Optimization Process in Practice -- 7. Sensitivity of Discrete Systems -- 8. Introduction to Variational Sensitivity Analysis -- 9. Dual and Optimality Criteria Methods -- 10. Decomposition and Multilevel Optimization -- 11. Optimum Design of Laminated Composite Materials -- Name Index. . |
| Record Nr. | UNINA-9910971040103321 |
|
Haftka Raphael T
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||