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Table 1 Integration limit in one pitch

From: Bone Milling: On Monitoring Cutting State and Force Using Sound Signals

\(\theta\)

Integration limit

Case

1

Case

2

Case

3

Case

4

\(0<\theta <{z}_{0}\mathrm{tan}\left({\varphi }_{0}\right)/{R}_{0}\)

\({z}_{1}\)

0

0

\({R}_{0}\mathrm{cot}\left({\varphi }_{0}\right)\theta\)

0

\({z}_{2}\)

\({R}_{0}\mathrm{cot}\left({\varphi }_{0}\right)\theta\)

\({z}_{0}\)

\({z}_{0}\)

0

\({z}_{0}\mathrm{tan}\left({\varphi }_{0}\right)/{R}_{0}<\theta <{\varphi }_{0}\)

\({z}_{1}\)

0

0

0

0

\({z}_{1}\)

\({z}_{0}\)

\({z}_{0}\)

0

0