Structural Optimization with Uncertainties
Authors: Banichuk, N.V., Neittaanmäki, Pekka
Free Preview- Contains material that is not discussed in any of the other published books
- In this context, the book truly complements corresponding developments in probabilistic optimal design
- Is especially concerned with the mixed probabilistic-guaranteed approach to structural optimization with uncertainties and optimal design, based on modern fracture mechanics
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- About this book
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This monograph is devoted to the exposition of new ways of formulating problems of structural optimization with incomplete information and techniques of solution. Research results concerning the optimum shape and structural properties of the bodies subjected to external loadings are recapitulated. Problems of optimal design with incomplete information, accounting for the interaction between the structure and its environment, properties of materials, existence of initial damages and damage accumulation are studied. This volume treats overcoming the corresponding mathematical difficulties caused by raising local functionals. Most of the book is devoted to the minimax approach using worst case scenarios, i.e. the so-called guaranteed approach. However, the probabilistic approach, that does not guarantee the result, is also described in the monograph, because it gives more “optimistic” results. Also, the mixed probabilistic guaranteed approach is discussed and applied for the solution of structural optimization problems with uncertainties.
- Reviews
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From the reviews:
“The monograph consists of three parts and 17 chapters. … The book is intended for graduate and post graduate students, specialists in mechanics and applied mathematics, engineers, university professors, etc.” (Bojidar Cheshankov, Zentralblatt MATH, Vol. 1182, 2010)
- Table of contents (17 chapters)
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Guaranteed Approaches
Pages 3-12
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Probabilistic Uncertainties
Pages 13-19
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Uncertainties and Worst Case Scenarios
Pages 23-35
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Optimal Design of Beams and Plates with Uncertainties
Pages 37-53
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Uncertainties in Fracture Mechanics and Optimal Design Formulations
Pages 55-64
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Table of contents (17 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Structural Optimization with Uncertainties
- Authors
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- N.V. Banichuk
- Pekka Neittaanmäki
- Series Title
- Solid Mechanics and Its Applications
- Series Volume
- 162
- Copyright
- 2010
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media B.V.
- eBook ISBN
- 978-90-481-2518-0
- DOI
- 10.1007/978-90-481-2518-0
- Hardcover ISBN
- 978-90-481-2517-3
- Softcover ISBN
- 978-94-007-3111-0
- Series ISSN
- 0925-0042
- Edition Number
- 1
- Number of Pages
- XII, 233
- Topics
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