Introduction to Optimum Design

3rd Edition

Print ISBN: 9780128102831
eBook ISBN: 9780123813763
Imprint: Academic Press
Published Date: 17th August 2011
Page Count: 896
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Introduction to Optimum Design 3e describes an organized approach to engineering design optimization in a rigorous yet simplified manner. It 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. Excel and MATLAB® are featured as learning and teaching aids.

Key Features

  • Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable
  • Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems
  • Introduction to MATLAB Optimization Toolbox
  • Practical design examples introduce students to the use of optimization methods early in the book
  • New example problems throughout the text are enhanced with detailed illustrations
  • Optimum design with Excel Solver has been expanded into a full chapter
  • New chapter on several advanced optimum design topics serves the needs of instructors who teach more advanced courses


Upper level undergraduate and graduate engineering students and practitioners studying optimization and engineering design.

Table of Contents


Preface to Third Edition


Key Symbols and Abbreviations

Chapter 1. Introduction to Design Optimization

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

Chapter 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. Sawmill 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

Chapter 3. Graphical Optimization and Basic Concepts

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 Solutions

3.6. Infeasible Problem

3.7. Graphical Solution for the Minimum-Weight Tubular Column

3.8. Graphical Solution for a Beam Design Problem

Chapter 4. Optimum Design Concepts

4.1. Definitions of Global and Local Minima

4.2. Review of Some Basic Calculus Concepts

4.3. Concept of Necessary and Sufficient Conditions

4.4. Optimality Conditions: Unconstrained Problem

4.5. Necessary Conditions: Equality-Constrained Problem

4.6. Necessary Conditions for a General Constrained Problem

4.7. Postoptimality Analysis: The Physical Meaning of Lagrange Multipliers

4.8. Global Optimality

4.9. Eng


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"I feel that Dr. Arora presented significant amounts of material in a clear and straightforward manner. The book is definitely a reference that practitioners would like to have and depend upon, especially with the plethora of examples and applications. As an educator, Dr. Arora’s book also has a tremendous number of problems at the end of the chapters and examples that I would try to use in class...the book is a solid introduction to optimization algorithms." - Georges Fadel, Associate Editor, Journal of Mechanical Design "Arora’s introduction of a much-anticipated second edition of Introduction to Optimum Design will not only satisfy established users of his well-received first edition, but moreover, significant updates, supplementary material, and fine-tuning of the pedagogical aspects of the presentation will certainly broaden its appeal…among some of the distinguishing characteristics of Arora’s book are its adaptability to audiences with diverse backgrounds, as well as the extent to which it makes the topic clear and approachable...The book would also be excellent as a self-study reference for the practicing engineer…In summary, when considering the pedagogical refinements of the book, the expanded and updated software examples, as well as the extended survey of emerging computational methods, Arora’s Introduction to Optimum Design, 2nd Ed., furthers its goal of describing engineering design optimization in a rigorous yet simplified manner which is both highly accessible to and useful for a wide audience." - David F. Thompson, Graduate Program Director, University of Cincinnati "I have used several optmization books over the past 10 years to support my various graduate optimization courses. Of all the books that I have used, I prefer Dr. Arora’s Introduction to Optimum Design, 2nd Ed…The strength of this book lies in his attention to detail using numeric exercises to demonstrate the numerical