• This paper is devoted to the mathematica l description of the solution of the so-called rainflow reconstruction problem, i.e. the problem of constructing a time series with an a priori given rainflow m atrix. The algorithm we present is mathematically exact in the sense that no app roximations or heuristics are involved. Furthermore it generates a uniform distr ibution of all possible reconstructions and thus an optimal randomization of the reconstructed series. The algorithm is a genuine on-line scheme. It is easy adj ustable to all variants of rainflow such as sysmmetric and asymmetric versions a nd different residue techniques.

Author: Klaus Dreßler, Michael Hack, Wilhelm Krüger urn:nbn:de:hbz:386-kluedo-5349 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (134) Article English 1995 1995 Technische Universität Kaiserslautern 2000/04/03 Hysteresis ; fatigue; rainflow Z.angew.Math.Mech 77 (3), pp. 217-226, 1997 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 47-XX OPERATOR THEORY / 47Hxx Nonlinear operators and their properties (For global and geometric aspects, see 58-XX, especially 58Cxx) / 47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiï, Uryson, etc.) [See also 45Gxx, 45P05] 62-XX STATISTICS / 62Nxx Survival analysis and censored data / 62N05 Reliability and life testing [See also 90B25] Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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