Abstract
Products with freeform surface are widely applied in industries, and the surface quality plays an important role in order to fulfill the targeted functions. As polishing path of small polishing tool affects the polishing removal function considerably, it is highly necessary to study the polishing path of freeform surface for obtaining good polishing efficiency and well-proportioned surface quality. By combining the Preston polishing removal function, the material removal model of small polishing tool under the control of constant polishing force and pressure is established. Based on this model, the material removal functions of scan line, Archimedean spiral, and Hilbert fractal polishing path are derived. The simulation results show that the Hilbert fractal polishing path has the best comprehensive performance. By using the projection relation of differential geometry, the optimal path generation algorithm of the Bezier surface based on Hilbert fractal polishing path is established. The polishing experiments are conducted on a self-developed polishing machine which is based on a parallel manipulator. The experimental results demonstrate that the surface roughness is improved from level 9 to level 11.
Highlights
Product structure can be optimized by using freeform surfaces, which opens the door for solutions with improved performance, reduced complexity, lower mass, and smaller size
Three polishing paths are covered in this study: scan line path, Archimedean spiral path, and Hilbert fractal path
If the equivalent coefficient and the ratio between the rotational speed and the feed speed of polishing tool is fixed, the polishing removal amount and the uniformity will increase with the decrease of the polishing space L < R
Summary
Product structure can be optimized by using freeform surfaces, which opens the door for solutions with improved performance, reduced complexity, lower mass, and smaller size. Polishing is usually one of the final processing steps of precision manufacturing, and the results directly affect the appearance and longevity of parts [1]. It is fundamentally different from other precision manufacturing technologies. Removal of polishing does depend on the position of the tool orthogonal to the workpiece, as for grinding and cutting processes and proportional to the product of local pressure and relative-speed between tool and workpiece and the dwell time. The small tool can follow the freeform surface with relatively large curvature, while large tool cannot polish the freeform surface with curvature smaller than its radius. The small tool can redress the error of local surface, while
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