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 |