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Stochastic Reconstruction of Loading Histories from a Rainflow Matrix

  • 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.

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Author:Klaus Dreßler, Michael Hack, Wilhelm Krüger
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5349
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (134)
Document Type:Article
Language of publication:English
Year of Completion:1995
Year of Publication:1995
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Hysteresis; fatigue; rainflow
Source:Z.angew.Math.Mech 77 (3), pp. 217-226, 1997
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):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]
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011