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Book Cover
E-book
Author Banichuk, Nikolaĭ Vladimirovich

Title Structural optimization with uncertainties / N.V. Banichuk, P.J. Neittaanmäki
Published Dordrecht ; New York : Springer, ©2010

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Description 1 online resource (xi, 233 pages) : illustrations
Series Solid mechanics and its applications ; v. 162
Solid mechanics and its applications ; v. 162.
Contents Prototype Problems -- Guaranteed Approaches -- Probabilistic Uncertainties -- Optimization in Frame of Guaranteed Approach -- Uncertainties and Worst Case Scenarios -- Optimal Design of Beams and Plates with Uncertainties -- Uncertainties in Fracture Mechanics and Optimal Design Formulations -- Beams and Plates with Brittle-Fracture Constraints -- Optimization of Axisymmetric Shells Against Brittle Fracture -- Shape and Thickness Distribution of Pressure Vessels -- Brittle and Quasi-Brittle Materials -- Gravity Forces and Snow Loading -- Damage Characteristics and Longevity Constraints -- Optimization of Shells Under Cyclic Crack Growth -- Uncertainties in Material Characteristics -- Probabilistic and Mixed Probabilistic -- Guaranteed Approaches -- Some Basic Notions of Probability Theory -- Probabilistic Approaches for Incomplete Information -- Optimization Under Longevity Constraint -- Mixed Probabilistic-Guaranteed Optimal Design
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
In Springer eBooks
Subject Structural optimization.
TECHNOLOGY & ENGINEERING -- Structural.
Ingénierie.
Structural optimization
Form Electronic book
Author Neittaanmäki, P. (Pekka)
LC no. 2009938831 2009934353 2009933771
ISBN 9789048125180
9048125189