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<article data-uid="Technique-ValidationCuttingForce">
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<h1 id="cutting-force-and-torque-validation">Cutting Force and Torque Validation</h1>
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<p>Cutting force is the quantity everything else is derived from — torque, power, deflection, heat,
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wear — so it is the one whose agreement with measurement matters most. The comparisons below are
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against dynamometer data on real cuts.</p>
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<h2 id="correlation-against-measurement">Correlation Against Measurement</h2>
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<p>For a <strong>new tool</strong>, the correlation coefficient between simulated and measured force typically
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falls between <strong>0.90 and 0.999</strong>. Homogeneous brittle materials sit at the high end, usually
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above 0.95, because there is less in the material itself to disagree about.</p>
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<p><img src="cutting-force-img/force-moment-correlation.png" alt="Simulated against measured force and moment"></p>
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<p>Two error ranges are worth carrying into a decision:</p>
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<ul>
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<li><strong>Across tool types on the same material</strong>, expect <strong>10%–25%</strong> error — a ball mill and an end
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mill trained on the same material do not land equally close. A different hone radius produces
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a similar range, though in rare cases it reaches <strong>40%</strong>.</li>
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<li><strong>Abnormal cutting</strong>, of the kind that loses yield on the floor, produces forces on the order
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of <strong>tens of times</strong> the average. That is far outside any of the error ranges above, which is
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what makes it detectable rather than arguable — see <a href="anomaly-cases.html">Cutting Force Anomaly Cases</a>.</li>
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</ul>
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<p>The waveform agrees as well as the magnitude. In the run below the machine shows Y-axis vibration
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that does not diverge, and the simulated waveform stays correlated with the measurement through it.</p>
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<p><img src="cutting-force-img/force-moment-waveform.png" alt="Simulated against measured force waveform under Y-axis vibration"></p>
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<h2 id="what-torque-predicts-about-the-surface">What Torque Predicts About the Surface</h2>
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<p>Torque is not only a load figure — its <strong>gradient along the surface</strong> predicts visible tool marks.
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When torque changes abruptly, spindle output power lags the power needed to hold speed, and the
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resulting speed dip leaves a mark. Cutting force deflecting the tool leaves marks by a second,
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independent route.</p>
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<p><img src="cutting-force-img/torque-gradient-tool-mark.png" alt="Tool marks against spindle torque gradient"></p>
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<p>Reading the figure, where blue through red is low through high:</p>
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<ul>
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<li><strong>A</strong> — a high torque gradient across the surface; the tool mark is obvious.</li>
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<li><strong>B</strong> — marks on both sides.</li>
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<li><strong>C</strong> — a low torque gradient; the mark is faint.</li>
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</ul>
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<p>The same physics detects the failure before it happens. Torque overload — the spindle unable to
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supply the demanded load — is reported per step, alongside the marks it will leave.</p>
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<p><img src="cutting-force-img/torque-overload-detection.png" alt="Torque overload detection"></p>
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<h2 id="a-worked-maximum-feed-rate">A Worked Maximum Feed Rate</h2>
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<p>The minimum tool-breakage stress follows from the cutting parameters, and a maximum feed rate
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follows from that. For FDAC at HRC 41–44, a 6 mm four-flute cutter, a full slot at 3 mm depth,
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6000 rpm and a <strong>safety factor of 2</strong>, the maximum feed rate works out at <strong>880 mm/min</strong>.</p>
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<p><img src="cutting-force-img/fdac-local-slot.jpg" alt="FDAC local slot"></p>
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<p>The safety factor is doing real work in that number: it is where the condition of the specific
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machine enters — see
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<a href="../machine-capability/machine-condition.html">Machine Condition and Safety Factors</a>.</p>
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<h2 id="see-also">See Also</h2>
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<ul>
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<li><a href="anomaly-cases.html">Cutting Force Anomaly Cases</a> — what forces tens of times the average look like in production</li>
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<li><a href="temperature-and-wear.html">Temperature and Wear</a> — the quantities derived from the force validated here</li>
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<li><a class="xref" href="../milling-physics/machinability.html">Evaluating Process Machinability</a> — the ratios these forces are turned into</li>
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<li><a href="../machine-capability/machine-condition.html">Machine Condition and Safety Factors</a> — the factor that turns the worked feed rate above into a value for a particular machine</li>
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</ul>
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