Numerically-controlled machining method using time parameter polynomial interpolation of free curved surfaces

Abstract

The invention relates to a numerically-controlled machining method using time parameter polynomial interpolation of free curved surfaces. The method specifically comprises the following three steps: predicting prospective speed planning; generating a time parameter polynomial machining track based on B-spline; and carrying out time parameter polynomial real-time interpolation. The steps comprise the following substeps: (1) planning the speed by reading a parametric curve type free curved surface machining track and generating high-speed and high-accuracy free curved surface machining process discrete data; (2) characterizing the high-speed and high-accuracy free curved surface machining process discrete data after planning the speed by using a B-spline fitting technique with given accuracy, and then converting the data into simple and incremental time parameter polynomial curved surface machining track; and (3) programming corresponding real-time interpolation programs according to thegenerated time parameter polynomial curved surface machining track to carry out real-time control of a numerically-controlled machine tool and complete machining of the free curved surfaces. Throughthe numerically-controlled machining method, the contour accuracy and the surface quality of the machined free curved surfaces are improved; the machining efficiency of the free curved surfaces is obviously improved; and the data amount needed for machining the free curved surfaces is reduced.

Description

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AI Technical Summary

Benefits of technology

This patented technology allows for faster and more efficient manufacturing processes that use complex surfaces such as those used in machine tools or other applications like medical implants. By utilizing this new approach, it can improve efficiency while reducing costs compared to previous methods without sacrificing accuracy. Time parameter interpolations are also included into these techniques to make them smoother and easier than older methods due to their reduced computation requirements. Overall, this innovation enhances the performance and cost effectiveness of existing technologies.

Problems solved by technology

Technologies aim at improving the efficiency and quality of manufacturing processes involving complex shapes like aeronautics engine blade components. These techniques involve generating highly accurate curved surfaces that require precise motion planning and interpolations between different types of points during rapid prototyping. Current commercial software packages only allow for linear spline transformation without introducing any new mathematical relationships between these points, leading to slow down and imputerious programming procedures. There currently exist open research directions where both fast and efficient computation capabilities could help streamlined massively parallel computerized manufacture.

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