Advanced Ceramics & Medical Micro-Milling
Rotary Ultrasonic Ceramic & Dental Milling Calculator
Model Rotary Ultrasonic Machining (RUM) for dental zirconia ($ZrO_2$), lithium disilicate, and silicon nitride ($Si_3N_4$). Calculate ultrasonic horn vibration amplitude ($A_0$), cutting force reduction, ductile regime depth ($d_{\text{crit}}$), and CAM toolpaths.
Process & CAM Parameters
Ultrasonic spindle excitation frequency in kHz.
Axial ultrasonic vibration amplitude in microns (µm).
High-speed dental milling spindle speed in RPM.
Cutter diameter in mm.
Engineering Calculations
Cutting Force Reduction
-58%
Ductile Regime Depth (d_crit)
0.84µm
Acoustic Acceleration
32,100g
Surface Roughness (Ra)
0.08µm
Dynamic CAM Toolpath & Vector Preview
Need complete manufacturing prepress guidance and formulas?
Read the Full Ceramic Milling Guide →Engineering Principles & Formulations
Rotary Ultrasonic Machining (RUM) superimposes high-frequency axial ultrasonic vibrations ($18 - 40\text{ kHz}$) onto a high-speed rotating diamond tool, inducing periodic separation between diamond abrasive grits and brittle ceramic substrates.
Key mathematical equations:
- Critical Ductile-to-Brittle Transition Depth: $$d_{\text{crit}} = 0.15 \left( \frac{E}{H} \right) \left( \frac{K_{Ic}}{H} \right)^2$$ When instantaneous uncut chip thickness $h(t) < d_{\text{crit}}$, ceramics machine via ductile shear rather than brittle micro-fracture, eliminating edge chipping.
- Kinematic Velocity Ratio: $$R_v = \frac{2\pi f A_0}{v_{\text{cutting}}} > 1.0$$ ensures true periodic tool-workpiece separation and continuous coolant flushing.