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Solid Mechanics and Its Applications

An Introduction to Structural Optimization

Authors: Christensen, Peter, Klarbring, Anders

  • Introductory text that covers all three basic classes of geometry optimization problems of mechanical structures: size, shape and topology optimization
  • The mathematics is kept at an elementary level
  • The algorithms are described in sufficient detail to enable readers to make their own implementations
  • The understanding of the material covered is facilitated by computer exercises using programs available at our home page
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Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-1-4020-8666-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA in USD
  • ISBN 978-1-4020-8665-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-90-481-7947-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Mechanical and structural engineers have always strived to make as efficient use of material as possible, e.g. by making structures as light as possible yet able to carry the loads subjected to them. In the past, the search for more efficient structures was a trial-and-error process. However, in the last two decades computational tools based on optimization theory have been developed that make it possible to find optimal structures more or less automatically. Due to the high cost savings and performance gains that may be achieved, such tools are finding increasing industrial use.
This textbook gives an introduction to all three classes of geometry optimization problems of mechanical structures: sizing, shape and topology optimization. The style is explicit and concrete, focusing on problem formulations and numerical solution methods. The treatment is detailed enough to enable readers to write their own implementations. On the book's homepage, programs may be downloaded that further facilitate the learning of the material covered.

The mathematical prerequisites are kept to a bare minimum, making the book suitable for undergraduate, or beginning graduate, students of mechanical or structural engineering. Practicing engineers working with structural optimization software would also benefit from reading this book.

Reviews

From the reviews:

“This book represents a good introduction to structural optimization. It covers the main methods used for the optimization of discrete and distributed parametric systems. … Due to numerous practical examples, this book can be strongly recommended to young specialists and students in mechanical engineering.” (Sergiu T. Chiriacescu, Zentralblatt MATH, Vol. 1180, 2010)

Table of contents (9 chapters)

  • Introduction

    Christensen, Peter W. (et al.)

    Pages 1-7

  • Examples of Optimization of Discrete Parameter Systems

    Christensen, Peter W. (et al.)

    Pages 9-34

  • Basics of Convex Programming

    Christensen, Peter W. (et al.)

    Pages 35-55

  • Sequential Explicit, Convex Approximations

    Christensen, Peter W. (et al.)

    Pages 57-75

  • Sizing Stiffness Optimization of a Truss

    Christensen, Peter W. (et al.)

    Pages 77-95

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-1-4020-8666-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA in USD
  • ISBN 978-1-4020-8665-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-90-481-7947-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Structural Optimization
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
153
Copyright
2009
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-8666-3
DOI
10.1007/978-1-4020-8666-3
Hardcover ISBN
978-1-4020-8665-6
Softcover ISBN
978-90-481-7947-3
Series ISSN
0925-0042
Edition Number
1
Number of Pages
X, 214
Topics