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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
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-9910828150003321
Haftka Raphael T  
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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-9910826923403321
Haftka Raphael T  
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui