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Rainflow-counting algorithm
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== History == The rainflow algorithm was developed by T. Endo and M. Matsuishi (an M.S. student at the time) in 1968 and presented in a Japanese paper. The first English presentation by the authors was in 1974. They communicated the technique to N. E. Dowling and J. Morrow in the U.S. who verified the technique and further popularised its use.<ref name="endo74"/> Downing and Socie created one of the more widely referenced and utilized rainflow cycle-counting algorithms in 1982,<ref>{{cite journal |last1=Downing |first1=S.D. |last2=Socie |first2=D.F. |year=1982 |title=Simple rainflow counting algorithms |journal=International Journal of Fatigue |volume=4 |number=1 |pages=31β40|doi=10.1016/0142-1123(82)90018-4 }}</ref> which was included as one of many cycle-counting algorithms in ASTM E1049-85.<ref>{{cite book |series=ASTM E 1049-85. |year=2005 |title=Standard practices for cycle counting in fatigue analysis |publisher=ASTM International}}</ref> Igor Rychlik gave a mathematical definition for the rainflow counting method,<ref>{{cite journal |last=Rychlik |first=I. |year=1987 |title=A New Definition of the Rainflow Cycle Counting Method |journal=International Journal of Fatigue |volume=9 |number=2 |pages=119β121|doi=10.1016/0142-1123(87)90054-5 }}</ref> thus enabling closed-form computations from the statistical properties of the load signal.
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