Fuzzy Randomness: Uncertainty in Civil Engineering and Computational Mechanics (Engineering Online Library) - Tapa dura

Möller, Bernd; Beer, Michael

 
9783540402947: Fuzzy Randomness: Uncertainty in Civil Engineering and Computational Mechanics (Engineering Online Library)
Tapa dura
ISBN 10: 3540402942 ISBN 13: 9783540402947
Editorial: Springer, 2004

Sinopsis

sections dealing with fuzzy functions and fuzzy random functions are certain to be of special interest. The reader is expected to be in command of the knowledge gained in a basic university mathematics course, with the inclusion of stochastic elements. A specification of uncertainty in any particular case is often difficult. For this reason Chaps. 3 and 4 are devoted solely to this problem. The derivation of fuzzy variables for representing informal and lexical uncertainty reflects the subjective assessment of objective conditions in the form of a membership function. Techniques for modeling fuzzy random variables are presented for data that simultaneously exhibit stochastic and nonstochastic properties. The application of fuzzy randomness is demonstrated in three fields of civil engineering and computational mechanics: structural analysis, safety assessment, and design. The methods of fuzzy structural analysis and fuzzy probabilistic structural analysis developed in Chap. 5 are applicable without restriction to arbitrary geometrically and physically nonlinear problems. The most important forms of the latter are the Fuzzy Finite Element Method (FFEM) and the Fuzzy Stochastic Finite Element Method (FSFEM).

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Acerca del autor

Univ.-Prof. Dr.-Ing. habil. Bernd MÖLLER (* 1941): studies in civil engineering (University of Technology, Dresden), main studies in constructional and structural engineering. Since 1996: Professor for Structural Analysis (University of Technology, Dresden).
Dr.-Ing. Michael BEER (* 1970): studies in civil engineering (University of Technology, Dresden), main studies in constructional and structural engineering. Since 2003: project manager of the DFG research project BE 2570/1 for funding the own occupation.

De la contraportada

This book, for the first time, provides a coherent, overall concept for taking account of uncertainty in the analysis, the safety assessment, and the design of structures. The reader is introduced to the problem of uncertainty modeling and familiarized with particular uncertainty models. For simultaneously considering stochastic and non-stochastic uncertainty the superordinated uncertainty model fuzzy randomness, which contains real valued random variables as well as fuzzy variables as special cases, is presented. For this purpose basic mathematical knowledge concerning the fuzzy set theory and the theory of fuzzy random variables is imparted. The body of the book comprises the appropriate quantification of uncertain structural parameters, the fuzzy and fuzzy probabilistic structural analysis, the fuzzy probabilistic safety assessment, and the fuzzy cluster structural design. The completely new algorithms are described in detail and illustrated by way of demonstrative examples.

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Editorial
Springer
Año de publicación
2004
Idioma
Inglés
ISBN 10 
3540402942
ISBN 13 
9783540402947
Encuadernación
Tapa dura
Número de páginas
354
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783642073120: Fuzzy Randomness: Uncertainty in Civil Engineering and Computational Mechanics

Edición Destacada

ISBN 10:  3642073123 ISBN 13:  9783642073120
Editorial: Springer, 2010
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