Stochastic Reconstruction of Loading Histories from a Rainflow Matrix

Source abstract

Abstract 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.