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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.

Inhaltsverzeichnis

Frontmatter

Prototype Problems

Frontmatter

2010 | OriginalPaper | Buchkapitel

Chapter 1. Guaranteed Approaches

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 2. Probabilistic Uncertainties

N. V. Banichuk, Pekka Neittaanmäki

Optimization in Frame of Guaranteed Approach

Frontmatter

2010 | OriginalPaper | Buchkapitel

Chapter 3. Uncertainties and Worst Case Scenarios

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 4. Optimal Design of Beams and Plates with Uncertainties

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 5. Uncertainties in Fracture Mechanics and Optimal Design Formulations

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 6. Beams and Plates with Brittle-Fracture Constraints

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 7. Optimization of Axisymmetric Shells Against Brittle Fracture

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 8. Shape and Thickness Distribution of Pressure Vessels

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 9. Brittle and Quasi-Brittle Materials

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 10. Gravity Forces and Snow Loading

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 11. Damage Characteristics and Longevity Constraints

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 12. Optimization of Shells Under Cyclic Crack Growth

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 13. Uncertainties in Material Characteristics

N. V. Banichuk, Pekka Neittaanmäki

Probabilistic and Mixed Probabilistic – Guaranteed Approaches

Frontmatter

2010 | OriginalPaper | Buchkapitel

Chapter 14. Some Basic Notions of Probability Theory

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 15. Probabilistic Approaches for Incomplete Information

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 16. Optimization Under Longevity Constraint

N. V. Banichuk, Pekka Neittaanmäki

2010 | OriginalPaper | Buchkapitel

Chapter 17. Mixed Probabilistic-Guaranteed Optimal Design

N. V. Banichuk, Pekka Neittaanmäki

Backmatter

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