Chapter 1. Introduction to Design Optimization 1. The Design Process 1. Engineering Design versus Engineering Analysis 1. Conventional versus Optimum Design Process 1.
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Chapter 1. Introduction to Design Optimization 1. The Design Process 1. Engineering Design versus Engineering Analysis 1. Conventional versus Optimum Design Process 1. Optimum Design versus Optimal Control 1. Basic Terminology and Notation Chapter 2. Optimum Design Problem Formulation 2.
The Problem Formulation Process 2. Design of a Can 2. Insulated Spherical Tank Design 2. Sawmill Operation 2. Design of a Two-Bar Bracket 2. Design of a Cabinet 2. Minimum-Weight Tubular Column Design 2. Minimum-Cost Cylindrical Tank Design 2. Design of Coil Springs 2. Graphical Optimization and Basic Concepts 3.
Graphical Solution Process 3. Use of Mathematica for Graphical Optimization 3. Design Problem with Multiple Solutions 3. Problem with Unbounded Solutions 3.
Infeasible Problem 3. Optimum Design Concepts 4. Definitions of Global and Local Minima 4. Review of Some Basic Calculus Concepts 4. Concept of Necessary and Sufficient Conditions 4. Optimality Conditions: Unconstrained Problem 4. Necessary Conditions: Equality-Constrained Problem 4. Necessary Conditions for a General Constrained Problem 4. Global Optimality Chapter 5. More on Optimum Design Concepts 5.
Irregular Points 5. Second-Order Conditions for Constrained Optimization 5. Duality in Nonlinear Programming Chapter 6. Optimum Design with Excel Solver 6. Introduction to Numerical Methods for Optimum Design 6. Excel Solver: An Introduction 6. Excel Solver for Unconstrained Optimization Problems 6.
Excel Solver for Linear Programming Problems 6. Optimum Design of Tension Members 6. Optimum Design of Compression Members 6. Optimum Design of Members for Flexure 6. Optimum Design of Telecommunication Poles Chapter 7. Introduction to the Optimization Toolbox 7. Unconstrained Optimum Design Problems 7.
Constrained Optimum Design Problems 7. Linear Programming Methods for Optimum Design 8. Linear Functions 8. Definition of a Standard Linear Programming Problem 8. Calculation of Basic Solutions 8. The Simplex Method 8. Postoptimality Analysis Chapter 9. Derivation of the Simplex Method 9. An Alternate Simplex Method 9. Duality in Linear Programming 9.
Quadratic Programming Problems Chapter Numerical Methods for Unconstrained Optimum Design Gradient-Based and Direct Search Methods General Concepts: Gradient-Based Methods Descent Direction and Convergence of Algorithms Step Size Determination: Basic Ideas Numerical Methods to Compute Step Size Other Conjugate Gradient Methods Chapter More on Step Size Determination More on the Steepest-Descent Method Scaling of Design Variables Engineering Applications of Unconstrained Methods Rate of Convergence of Algorithms Direct Search Methods Chapter Numerical Methods for Constrained Optimum Design Basic Concepts Related to Numerical Methods Linearization of the Constrained Problem The Sequential Linear Programming Algorithm Sequential Quadratic Programming The Step Size Calculation Subproblem Potential Constraint Strategy Inexact Step Size Calculation Bound-Constrained Optimization Other Numerical Optimization Methods Solution to the Quadratic Programming Subproblem Chapter Practical Applications of Optimization Formulation of Practical Design Optimization Problems Gradient Evaluation of Implicit Functions Issues in Practical Design Optimization Use of General-Purpose Software Optimal Control of Systems by Nonlinear Programming Alternative Formulations for Structural Optimization Problems Basic Concepts and Definitions Branch-and-Bound Methods.
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It is intended for use in a first course on engineering design and optimization at the undergraduate or graduate level in engineering departments of all disciplines, with a primary focus on mechanical, aerospace, and civil engineering courses. Through a basic and organized approach, the text describes engineering design optimization in a rigorous, yet simplified manner, illustrates various concepts and procedures with simple examples, and demonstrates their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text using Excel and MATLAB as learning and teaching aids. This fourth edition has been reorganized, rewritten in parts, and enhanced with new material, making the book even more appealing to instructors regardless of course level. Includes basic concepts of optimality conditions and numerical methods that are described with simple and practical examples, making the material highly teachable and learnable Presents applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems Provides practical design examples that introduce students to the use of optimization methods early in the book Contains chapter on several advanced optimum design topics that serve the needs of instructors who teach more advanced courses Year:.
Introduction to Optimum Design