Introduction to Optimum Design

2nd Edition

Authors: Jasbir Arora Jasbir Arora
Hardcover ISBN: 9780120641550
eBook ISBN: 9780080470252
Imprint: Academic Press
Published Date: 5th May 2004
Page Count: 728
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Description

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 for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text.

Key Features

  • Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text.

  • Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable.

  • Classroom-tested for many years to attain optimum pedagogical effectiveness.

Readership

Engineering students and practitioners studying optimization and mechanical engineering design.

Table of Contents

Jasbir S. Arora

Dedication

Preface

Chapter 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

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: 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

Chapter 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

Chapter 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

Chapter 5: More on Optimum Design Concepts

5.1: Alternate Form of KKT Necessary Conditions

5.2: Irregular Points

5.3: Second-Order Conditions f

Details

No. of pages:
728
Language:
English
Copyright:
© Academic Press 2004
Published:
Imprint:
Academic Press
eBook ISBN:
9780080470252
Hardcover ISBN:
9780120641550

About the Author

Jasbir Arora

Jasbir Singh Arora is an F. Wendell Miller Professor of Engineering, a Professor of Civil and Environmental Engineering, and a Professor of Mechanical and Industrial Engineering at the University of Iowa. He obtained his PhD in Mechanics and Hydraulics from the University of Iowa. Dr. Arora is the Associate Director of the Center for Computer Aided Design. He is a Senior Advisor for the International Journal of Structural and Multidisciplinary Optimization and he is on the Editorial Board of the International Journal for Numerical Methods in Engineering. He is a Fellow of the American Society of Civil Engineers and the American Society of Mechanical Engineers, and a Senior Member of the American Institute of Aeronautics and Astronautics. Dr. Arora is an internationally recognized researcher in the field of optimization and his book Introduction to Optimum Design, 3rd Edition (Academic Press, 2012, 978-0-12-381375-6) is used worldwide. Jasbir Singh Arora is an F. Wendell Miller Professor of Engineering, a Professor of Civil and Environmental Engineering, and a Professor of Mechanical and Industrial Engineering at the University of Iowa. He obtained his PhD in Mechanics and Hydraulics from the University of Iowa. Dr. Arora is the Associate Director of the Center for Computer Aided Design. He is a Senior Advisor for the International Journal of Structural and Multidisciplinary Optimization and he is on the Editorial Board of the International Journal for Numerical Methods in Engineering. He is a Fellow of the American Society of Civil Engineers and the American Society of Mechanical Engineers, and a Senior Member of the American Institute of Aeronautics and Astronautics. Dr. Arora is an internationally recognized researcher in the field of optimization and his book Introduction to Optimum Design, 3rd Edition (Academic Press, 2012, 978-0-12-381375-6) is used worldwide.

Affiliations and Expertise

Professor, Department of Civil and Environmental Engineering & Department of Mechanical Engineering, University of Iowa, iowa City, IA, USA

Jasbir Arora

Jasbir Singh Arora is an F. Wendell Miller Professor of Engineering, a Professor of Civil and Environmental Engineering, and a Professor of Mechanical and Industrial Engineering at the University of Iowa. He obtained his PhD in Mechanics and Hydraulics from the University of Iowa. Dr. Arora is the Associate Director of the Center for Computer Aided Design. He is a Senior Advisor for the International Journal of Structural and Multidisciplinary Optimization and he is on the Editorial Board of the International Journal for Numerical Methods in Engineering. He is a Fellow of the American Society of Civil Engineers and the American Society of Mechanical Engineers, and a Senior Member of the American Institute of Aeronautics and Astronautics. Dr. Arora is an internationally recognized researcher in the field of optimization and his book Introduction to Optimum Design, 3rd Edition (Academic Press, 2012, 978-0-12-381375-6) is used worldwide. Jasbir Singh Arora is an F. Wendell Miller Professor of Engineering, a Professor of Civil and Environmental Engineering, and a Professor of Mechanical and Industrial Engineering at the University of Iowa. He obtained his PhD in Mechanics and Hydraulics from the University of Iowa. Dr. Arora is the Associate Director of the Center for Computer Aided Design. He is a Senior Advisor for the International Journal of Structural and Multidisciplinary Optimization and he is on the Editorial Board of the International Journal for Numerical Methods in Engineering. He is a Fellow of the American Society of Civil Engineers and the American Society of Mechanical Engineers, and a Senior Member of the American Institute of Aeronautics and Astronautics. Dr. Arora is an internationally recognized researcher in the field of optimization and his book Introduction to Optimum Design, 3rd Edition (Academic Press, 2012, 978-0-12-381375-6) is used worldwide.

Affiliations and Expertise

Professor, Department of Civil and Environmental Engineering & Department of Mechanical Engineering, University of Iowa, iowa City, IA, USA

Reviews

"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