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Structural Optimization with Uncertainties

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. P...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Banichuk, N.V (Autor), Neittaanmäki, Pekka (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Solid Mechanics and Its Applications, 162
Temas:
Acceso en línea:Texto Completo

MARC

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250 |a 1st ed. 2010. 
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300 |a XII, 233 p.  |b online resource. 
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490 1 |a Solid Mechanics and Its Applications,  |x 2214-7764 ;  |v 162 
505 0 |a 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. 
520 |a 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. 
650 0 |a Computational intelligence. 
650 0 |a Mathematical optimization. 
650 0 |a Calculus of variations. 
650 0 |a Computer-aided engineering. 
650 0 |a Mechanics, Applied. 
650 0 |a Solids. 
650 0 |a Engineering design. 
650 1 4 |a Computational Intelligence. 
650 2 4 |a Calculus of Variations and Optimization. 
650 2 4 |a Computer-Aided Engineering (CAD, CAE) and Design. 
650 2 4 |a Solid Mechanics. 
650 2 4 |a Engineering Design. 
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830 0 |a Solid Mechanics and Its Applications,  |x 2214-7764 ;  |v 162 
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