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Fuzzy Randomness

Uncertainty in Civil Engineering and Computational Mechanics

  • Bernd Möller
  • Michael Beer

Table of contents

  1. Front Matter
    Pages I-XV
  2. Bernd Möller, Michael Beer
    Pages 1-18
  3. Bernd Möller, Michael Beer
    Pages 19-89
  4. Bernd Möller, Michael Beer
    Pages 135-227
  5. Bernd Möller, Michael Beer
    Pages 228-272
  6. Bernd Möller, Michael Beer
    Pages 273-307
  7. Back Matter
    Pages 308-335

About this book

Introduction

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.

Keywords

Fuzzy algorithm calculus civil engineering design of structures fuzzy cluster design fuzzy randomness fuzzy set mechanics model modeling numerical analysis safety assessment structural analysis structural design

Authors and affiliations

  • Bernd Möller
    • 1
  • Michael Beer
    • 1
  1. 1.Institute of Structural Analysis (Lehrstuhl für Statik)Dresden University of TechnologyDresdenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-07358-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07312-0
  • Online ISBN 978-3-662-07358-2
  • Buy this book on publisher's site
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