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    السبت، 30 يوليو، 2016

    An introduction to structural optimization


    An introduction to structural optimization


    The text is written for students with a background in solid and structural mechanics
    with a basic knowledge of the finite element method, although in our experience
    such knowledge could be replaced by a certain mathematical maturity. Previous
    exposure to basic optimization theory and convex programming is helpful but not

    strictly necessary.

    The first three chapters of the book represent an introductory and preparatory
    part. In Chap. 1 we introduce the basic idea of mathematical design optimization
    and indicate its place in the broader frame of product realization, as well as define
    basic concepts and terminology. Chapter 2 is devoted to a series of small-scale problems
    that, on the one hand, give familiarity with the type of problems encountered
    in structural optimization and, on the other hand, are used as model problems in
    upcoming chapters. Chapter 3 reviews basic concepts of convex analysis, and exemplifies
    these by means of concepts from structural mechanics. Chapter 4 is, from an
    algorithmic point of view, the core chapter of the book. It introduces the basic idea of
    sequential explicit convex approximations, and CONLIN and MMA are presented.
    In Chap. 5 the latter is applied to stiffness optimization of a truss

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