Simulation of load sequences from rainflow matrices : Markov method

For loads modeled as Markov chains there is a non-linear relation between rainflow and Markov matrices. The relation was proved by Rychlik and used to compute a rainflow matrix when the Markov matrix is known. In this paper the relation is inverted to find a Markov matrix when the rainflow matrix is given. The Markov matrix is then used to simulate a random load. Examples illustrating the method are given.