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Structural Optimization with Uncertainties

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  • © 2010


  • Contains material that is not discussed in any of the other published books
  • In this context the monograph truly complements corresponding developments in probabilistic optimal design
  • Especially it is concerned with the mixed probabilistic-guaranteed approach to structural optimization with uncertainties and optimal design, based on modern fracture mechanics

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 162)

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About this book

Structural optimization is currently attracting considerable attention. Interest in - search in optimal design has grown in connection with the rapid development of aeronautical and space technologies, shipbuilding, and design of precision mach- ery. A special ?eld in these investigations is devoted to structural optimization with incomplete information (incomplete data). The importance of these investigations is explained as follows. The conventional theory of optimal structural design - sumes precise knowledge of material parameters, including damage characteristics and loadings applied to the structure. In practice such precise knowledge is seldom available. Thus, it is important to be able to predict the sensitivity of a designed structure to random ?uctuations in the environment and to variations in the material properties. To design reliable structures it is necessary to apply the so-called gu- anteed approach, based on a “worst case scenario” or a more optimistic probabilistic approach, if we have additional statistical data. Problems of optimal design with incomplete information also have consid- able theoretical importance. The introduction and investigations into new types of mathematical problems are interesting in themselves. Note that some ga- theoretical optimization problems arise for which there are no systematic techniques of investigation. This monograph is devoted to the exposition of new ways of formulating and solving problems of structural optimization with incomplete information. We recall some research results concerning the optimum shape and structural properties of bodies subjected to external loadings.

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Table of contents (17 chapters)

  1. Prototype Problems

  2. Optimization in Frame of Guaranteed Approach

  3. Probabilistic and Mixed Probabilistic – Guaranteed Approaches


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)

Authors and Affiliations

  • Inst. Problems in Mechanics, Russian Academy of Sciences, Moskva, Russian Federation

    N.V. Banichuk

  • Dept. Mathematical Information , University of Jyväsklyklä, Jyväskylä, Finland

    Pekka Neittaanmäki

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