Abstract

From a signal, x(i)∈ℜ, i = 0,1,…, a delay map consisting of the points {x(i),x(i+d)}, where d (a non-zero integer) is called the delay, can be constructed. These maps are highly informative when the signal is chaotic. In this study, a set of delay maps of cutting force signals of milling operations is constructed for different values of delay and cutting scenarios. It is found that for some specific values of delay, the delay maps exhibit distinguished patterns. The patterns can serve as the signature of cutting scenarios and, thus, can be used to construct intelligent monitoring systems for cyber-physical systems.

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