Abstract
In this paper, stability on the polygonal deformation phenomena in BTA deep hole drilling is analytically investigated. The phenomena is modeled as a time delay system accompanied by cutting in which the amount of cutting on the workpiece is fed back as forced displacement. The authors focused on the condition of contact between the tool guide-pads and workpiece. According to the results considering the line contact and the distributed contact of the tool guide-pads, it is confirmed that system becomes more stable as the polygonal number is high in case the contact state is the distributed contact.