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Introduction to optimum design [[electronic resource] /] / Jasbir S. Arora
Introduction to optimum design [[electronic resource] /] / Jasbir S. Arora
Autore Arora Jasbir S
Edizione [2nd ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Descrizione fisica 1 online resource (751 p.)
Disciplina 620/.0042/015118
Soggetto topico Engineering design - Mathematical models
Soggetto genere / forma Electronic books.
ISBN 1-280-96116-3
9786610961160
0-08-047025-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Front matter; Half Title Page; Title Page; Copyright; Author Detail; Dedication Page; Preface; Contents; 1. Introduction to Design; 1.1 The Design Process; 1.2 Engineering Design versus Engineering Analysis; 1.3 Conventional versus Optimum Design Process; 1.4 Optimum Design versus Optimal Control; 1.5 Basic Terminology and Notation; 2. Optimum Design Problem Formulation; 2.1 The Problem Formulation Process; 2.2 Design of a Can; 2.3 Insulated Spherical Tank Design; 2.4 Saw Mill Operation; 2.5 Design of a Two-Bar Bracket; 2.6 Design of a Cabinet; 2.7 Minimum Weight Tubular Column Design
2.8 Minimum Cost Cylindrical Tank Design 2.9 Design of Coil Springs; 2.10 Minimum Weight Design of a Symmetric Three-Bar Truss; 2.11 A General Mathematical Model for Optimum Design; Exercises for Chapter 2; 3. Graphical Optimization; 3.1 Graphical Solution Process; 3.2 Use of Mathematica for Graphical Optimization; 3.3 Use of MATLAB for Graphical Optimization; 3.4 Design Problem with Multiple Solutions; 3.5 Problem with Unbounded Solution; 3.6 Infeasible Problem; 3.7 Graphical Solution for Minimum Weight Tubular Column; 3.8 Graphical Solution for a Beam Design Problem; Exercises for Chapter 3
4. Optimum Design Concepts 4.1 Definitions of Global and Local Minima; 4.2 Review of Some Basic Calculus Concepts; 4.3 Unconstrained Optimum Design Problems; 4.4 Constrained Optimum Design Problems; 4.5 Postoptimality Analysis: Physical Meaning of Lagrange Multipliers; 4.6 Global Optimality; 4.7 Engineering Design Examples; Exercises for Chapter 4; 5. More on Optimum Design Concepts; 5.1 Alternate Form of KKT Necessary Conditions; 5.2 Irregular Points; 5.3 Second-Order Conditions for Constrained Optimization; 5.4 Sufficiency Check for Rectangular Beam Design Problem; Exercises for Chapter 5
6. Linear Programming Methods for Optimum Design 6.1 Definition of a Standard Linear Programming Problem; 6.2 Basic Concepts Related to Linear Programming Problems; 6.3 Basic Ideas and Steps of the Simplex Method; 6.4 Two-Phase Simplex Method-Artificial Variables; 6.5 Postoptimality Analysis; 6.6 Solution of LP Problems Using Excel Solver; Exercises for Chapter 6; 7. More on Linear Programming Methods for Optimum Design; 7.1 Derivation of the Simplex Method; 7.2 Alternate Simplex Method; 7.3 Duality in Linear Programming; Exercises for Chapter 7
8. Numerical Methods for Unconstrained Optimum Design 8.1 General Concepts Related to Numerical Algorithms; 8.2 Basic Ideas and Algorithms for Step Size Determination; 8.3 Search Direction Determination: Steepest Descent Method; 8.4 Search Direction Determination: Conjugate Gradient Method; Exercises for Chapter 8; 9. More on Numerical Methods for Unconstrained Optimum Design; 9.1 More on Step Size Determination; 9.2 More on Steepest Descent Method; 9.3 Scaling of Design Variables; 9.4 Search Direction Determination: Newton's Method; 9.5 Search Direction Determination: Quasi-Newton Methods
9.6 Engineering Applications of Unconstrained Methods
Record Nr. UNINA-9910458751803321
Arora Jasbir S  
Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to optimum design [[electronic resource] /] / Jasbir S. Arora
Introduction to optimum design [[electronic resource] /] / Jasbir S. Arora
Autore Arora Jasbir S
Edizione [2nd ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Descrizione fisica 1 online resource (751 p.)
Disciplina 620/.0042/015118
Soggetto topico Engineering design - Mathematical models
ISBN 1-280-96116-3
9786610961160
0-08-047025-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Front matter; Half Title Page; Title Page; Copyright; Author Detail; Dedication Page; Preface; Contents; 1. Introduction to Design; 1.1 The Design Process; 1.2 Engineering Design versus Engineering Analysis; 1.3 Conventional versus Optimum Design Process; 1.4 Optimum Design versus Optimal Control; 1.5 Basic Terminology and Notation; 2. Optimum Design Problem Formulation; 2.1 The Problem Formulation Process; 2.2 Design of a Can; 2.3 Insulated Spherical Tank Design; 2.4 Saw Mill Operation; 2.5 Design of a Two-Bar Bracket; 2.6 Design of a Cabinet; 2.7 Minimum Weight Tubular Column Design
2.8 Minimum Cost Cylindrical Tank Design 2.9 Design of Coil Springs; 2.10 Minimum Weight Design of a Symmetric Three-Bar Truss; 2.11 A General Mathematical Model for Optimum Design; Exercises for Chapter 2; 3. Graphical Optimization; 3.1 Graphical Solution Process; 3.2 Use of Mathematica for Graphical Optimization; 3.3 Use of MATLAB for Graphical Optimization; 3.4 Design Problem with Multiple Solutions; 3.5 Problem with Unbounded Solution; 3.6 Infeasible Problem; 3.7 Graphical Solution for Minimum Weight Tubular Column; 3.8 Graphical Solution for a Beam Design Problem; Exercises for Chapter 3
4. Optimum Design Concepts 4.1 Definitions of Global and Local Minima; 4.2 Review of Some Basic Calculus Concepts; 4.3 Unconstrained Optimum Design Problems; 4.4 Constrained Optimum Design Problems; 4.5 Postoptimality Analysis: Physical Meaning of Lagrange Multipliers; 4.6 Global Optimality; 4.7 Engineering Design Examples; Exercises for Chapter 4; 5. More on Optimum Design Concepts; 5.1 Alternate Form of KKT Necessary Conditions; 5.2 Irregular Points; 5.3 Second-Order Conditions for Constrained Optimization; 5.4 Sufficiency Check for Rectangular Beam Design Problem; Exercises for Chapter 5
6. Linear Programming Methods for Optimum Design 6.1 Definition of a Standard Linear Programming Problem; 6.2 Basic Concepts Related to Linear Programming Problems; 6.3 Basic Ideas and Steps of the Simplex Method; 6.4 Two-Phase Simplex Method-Artificial Variables; 6.5 Postoptimality Analysis; 6.6 Solution of LP Problems Using Excel Solver; Exercises for Chapter 6; 7. More on Linear Programming Methods for Optimum Design; 7.1 Derivation of the Simplex Method; 7.2 Alternate Simplex Method; 7.3 Duality in Linear Programming; Exercises for Chapter 7
8. Numerical Methods for Unconstrained Optimum Design 8.1 General Concepts Related to Numerical Algorithms; 8.2 Basic Ideas and Algorithms for Step Size Determination; 8.3 Search Direction Determination: Steepest Descent Method; 8.4 Search Direction Determination: Conjugate Gradient Method; Exercises for Chapter 8; 9. More on Numerical Methods for Unconstrained Optimum Design; 9.1 More on Step Size Determination; 9.2 More on Steepest Descent Method; 9.3 Scaling of Design Variables; 9.4 Search Direction Determination: Newton's Method; 9.5 Search Direction Determination: Quasi-Newton Methods
9.6 Engineering Applications of Unconstrained Methods
Record Nr. UNINA-9910784546003321
Arora Jasbir S  
Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to optimum design / / Jasbir S. Arora
Introduction to optimum design / / Jasbir S. Arora
Autore Arora Jasbir S
Edizione [2nd ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Descrizione fisica 1 online resource (751 p.)
Disciplina 620/.0042/015118
Soggetto topico Engineering design - Mathematical models
ISBN 9786610961160
9781280961168
1280961163
9780080470252
0080470254
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Front matter; Half Title Page; Title Page; Copyright; Author Detail; Dedication Page; Preface; Contents; 1. Introduction to Design; 1.1 The Design Process; 1.2 Engineering Design versus Engineering Analysis; 1.3 Conventional versus Optimum Design Process; 1.4 Optimum Design versus Optimal Control; 1.5 Basic Terminology and Notation; 2. Optimum Design Problem Formulation; 2.1 The Problem Formulation Process; 2.2 Design of a Can; 2.3 Insulated Spherical Tank Design; 2.4 Saw Mill Operation; 2.5 Design of a Two-Bar Bracket; 2.6 Design of a Cabinet; 2.7 Minimum Weight Tubular Column Design
2.8 Minimum Cost Cylindrical Tank Design 2.9 Design of Coil Springs; 2.10 Minimum Weight Design of a Symmetric Three-Bar Truss; 2.11 A General Mathematical Model for Optimum Design; Exercises for Chapter 2; 3. Graphical Optimization; 3.1 Graphical Solution Process; 3.2 Use of Mathematica for Graphical Optimization; 3.3 Use of MATLAB for Graphical Optimization; 3.4 Design Problem with Multiple Solutions; 3.5 Problem with Unbounded Solution; 3.6 Infeasible Problem; 3.7 Graphical Solution for Minimum Weight Tubular Column; 3.8 Graphical Solution for a Beam Design Problem; Exercises for Chapter 3
4. Optimum Design Concepts 4.1 Definitions of Global and Local Minima; 4.2 Review of Some Basic Calculus Concepts; 4.3 Unconstrained Optimum Design Problems; 4.4 Constrained Optimum Design Problems; 4.5 Postoptimality Analysis: Physical Meaning of Lagrange Multipliers; 4.6 Global Optimality; 4.7 Engineering Design Examples; Exercises for Chapter 4; 5. More on Optimum Design Concepts; 5.1 Alternate Form of KKT Necessary Conditions; 5.2 Irregular Points; 5.3 Second-Order Conditions for Constrained Optimization; 5.4 Sufficiency Check for Rectangular Beam Design Problem; Exercises for Chapter 5
6. Linear Programming Methods for Optimum Design 6.1 Definition of a Standard Linear Programming Problem; 6.2 Basic Concepts Related to Linear Programming Problems; 6.3 Basic Ideas and Steps of the Simplex Method; 6.4 Two-Phase Simplex Method-Artificial Variables; 6.5 Postoptimality Analysis; 6.6 Solution of LP Problems Using Excel Solver; Exercises for Chapter 6; 7. More on Linear Programming Methods for Optimum Design; 7.1 Derivation of the Simplex Method; 7.2 Alternate Simplex Method; 7.3 Duality in Linear Programming; Exercises for Chapter 7
8. Numerical Methods for Unconstrained Optimum Design 8.1 General Concepts Related to Numerical Algorithms; 8.2 Basic Ideas and Algorithms for Step Size Determination; 8.3 Search Direction Determination: Steepest Descent Method; 8.4 Search Direction Determination: Conjugate Gradient Method; Exercises for Chapter 8; 9. More on Numerical Methods for Unconstrained Optimum Design; 9.1 More on Step Size Determination; 9.2 More on Steepest Descent Method; 9.3 Scaling of Design Variables; 9.4 Search Direction Determination: Newton's Method; 9.5 Search Direction Determination: Quasi-Newton Methods
9.6 Engineering Applications of Unconstrained Methods
Record Nr. UNINA-9910817460103321
Arora Jasbir S  
Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui