Structural Optimization with Uncertainties

• Main Authors: Banichuk, N.V (Author), Neittaanmäki, Pekka (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2010.
• Series: Solid Mechanics and Its Applications, 162
• Subjects: Engineering.; Computer-aided engineering.; Calculus of variations.; Computational intelligence.; Structural mechanics.; Engineering design.; Computational Intelligence.; Calculus of Variations and Optimal Control; Optimization.; Computer-Aided Engineering (CAD, CAE) and Design.; Structural Mechanics.; Engineering Design.

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...

Table of 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.