In the high-end optical instrument application, aspherical lenses have replaced spherical lenses and became a key component owing to the aberration correction characteristic it benefits. Though aspherical lenses truly provide multiple advantages, as long as the uncertainty and time-taking issue remain unsolved in CNC polishing process, the term “mass production” will still be far from realization. In this paper, we have developed a method based on Preston’s equation and the Hertz-Contact theorem (HCT) to construct the tool influence function (TIF), hoping to increase the convergence of the process result. We will also discuss how different tool offsets affect the polishing force against the workpiece. We firstly obtained velocity distribution between bonnet and workpiece from dynamics in polar coordinates, then applied the equivalent contacting-Young’s modulus in Hertz-Contact theorem to calculate the pressure distribution model. Subsequently, we conducted a series of experiments under IRP1000 by Zeeko Ltd. and avoided unstable outcomes caused by both machine vibration and deficient tool offset. We modified the parameters into five different feed rates while remaining the equivalent dwelling time, to create more observable features of material removed and further proved the linearity relationship between the dwell time and the removal depth. We applied LP66 as the polishing pad and fused silica as the workpiece to acquire the experiment result.
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