Premium
Stochastic Reconstruction of Loading Histories from a Rainflow Matrix
Author(s) -
Dressler K.,
Hack M.,
Krüger W.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770315
Subject(s) - algorithm , a priori and a posteriori , heuristics , matrix (chemical analysis) , series (stratigraphy) , mathematics , mathematical optimization , computer science , paleontology , philosophy , materials science , epistemology , composite material , biology
This paper is devoted to the mathematical 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 matrix. The algorithm we present is mathematically exact in the sense that no approximations or heuristics are involved. Furthermore, it generates a uniform distribution of all possible reconstructions and thus an optimal randomization of the reconstructed series. The algorithm is a genuine on‐line scheme. It is easy adjustable to all variants of rainflow such as symmetric and asymmetric versions and different residue techniques.