This paper presents our characterization of dynamics underlying the cylindrical grinding of shafts using accelerometer signals gathered from a set of designed experiments. The results of our characterizations show that the dynamics, under steady state, evolves into a finite-dimensional, perhaps chaotic, attractor contaminated by noise, with fractal dimension values hovering between 3.1 and 3.8. The major implication of this finding is in the development of tractable models to control this industrially important shaft grinding process.
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Bukkapatnam et al. (2004) studied this question.
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