Abstract
The patterns formed on the surface of thin cylinders during machining are shown to result from self-induced and forced vibration. As metal is removed, the natural frequency of the cylinder slowly decreases, thus decreasing the number of surface waves accommodated around the circumference. The pattern repeats itself each time the number of surface waves per revolution is decreased by one. The slow rise and fall of vibration intensity depends in the main on the interaction of part of the cutting tool with the surface waves cut during the previous revolution.

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