Introduction to optimum design / / Jasbir S. Arora

• Record Nr.: UNINA9910817460103321
• Autore: Arora Jasbir S
• Pubbl/distr/stampa: Amsterdam ; ; Boston, : Elsevier/Academic Press, 2004
• ISBN: 9786610961160; 9781280961168; 1280961163; 9780080470252; 0080470254
• Edizione: [2nd ed.]
• Descrizione fisica: 1 online resource (751 p.)
• Disciplina: 620/.0042/015118
• Soggetti: Engineering design - Mathematical models
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 683-685) and index.
• 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
• Sommario/riassunto: Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering. This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem f