Geochemistry

Analyzing Uncertainty in Civil Engineering by Wolfgang Fellin, Heimo Lessmann, Michael Oberguggenberger,

By Wolfgang Fellin, Heimo Lessmann, Michael Oberguggenberger, Robert Vieider

This quantity comprehensively addresses the problem of uncertainty in civil engineering, from layout to building. present engineering perform usually leaves uncertainty matters apart, even though new medical instruments were built long ago a long time that let a rational description of uncertainties of every kind, from version uncertainty to information uncertainty. it's the goal of this quantity to take a severe examine present engineering chance ideas so one can bring up know-how of uncertainty in numerical computations, shortcomings of a strictly probabilistic safeguard idea, geotechnical types of failure and their building implications, real development, and obligation. moreover, the various new tactics for modelling uncertainty are defined. The e-book is due to the a collaborate attempt of mathematicians, engineers and building managers who met usually in a post-graduate seminar on the collage of Innsbruck in past times years.

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While measurement errors can be considered as approximately random, there are strong arguments against the presumption of randomness of spatial data fluctuations. The fact that the soil in situ has a definite history contradicts the assumption of a random character. Major model deficiencies arise from the fact that parameters which vary spatially or actually depend on the state of the system are treated as constants in models that neglect precisely this variability. There is a notorious lack of data in geotechnics which often leads to insufficient information.

P. Flannery. Numerical Recipes. Cambridge University Press, 2nd edition, 1992. [19] B. Schuppener. Die Festlegung charakteristischer Bodenkennwerte – Empfehlungen des Eurocodes 7 Teil 1 und die Ergebnisse einer Umfrage. Geotechnik, Sonderheft:32–35, 1999. [20] A. Weißenbach, G. Gudehus, and B. Schuppener. Vorschl¨age zur Anwendung des Teilsicherheitskonzeptes in der Geotechnik. Geotechnik, Sonderheft:4–31, 1999. The mathematics of uncertainty: models, methods and interpretations Michael Oberguggenberger Institut f¨ ur Technische Mathematik, Geometrie und Bauinformatik, Universit¨at Innsbruck Summary.

V. Bolotin. Statistical Methods in Structural Mechanics. , San Francisco, 1969. [3] E. B¨ osinger. Serienuntersuchungen zum Vergleich verschiedenener Rahmenscherger¨ ate. Institut f¨ ur Bodenmechanik und Felsmechanik der Universit¨at Karlsruhe, personal communication, 1996. [4] H. B¨ uhlmann. Mathematical Methods in Risk Theory. Springer-Verlag, Berlin 1970. [5] G. De Cooman, T. Fine, and T. Seidenfeld, editors. ISIPTA’01, Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications.

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