General method for machining complex curved surface of non-spherical cutter in multi-axis-linkage CNC manner

Abstract

The invention discloses a general method for machining the complex curved surface of a non-spherical cutter in the multi-axis-linkage CNC manner. The method comprises the steps of (1) designing the curved-surface generating motion of a cutter relative to a workpiece: firstly, the curved surface of the cutter is described based on a vector function having continuous third-order partial derivatives, and then an envelope surface equation formula for the curved surface of the cutter is obtained with boundary conditions taken into consideration; secondly, a motion optimization functional extremum model formula of the cutter relative to the workpiece and having a minimum machining error, and a motion optimization functional extremum model formula of the cutter relative to the workpiece and having a maximum machining line width are obtained; finally, the above functional extremum model formulas are solved to respectively obtain a motion of the cutter relative to the workpiece at a given machining line width and a minimum curved-surface machining error, and a motion of the cutter relative to the workpiece at a maximum machining line width and a given limit error; (2) realizing the curved-surface generating motion of the cutter relative to the workpiece on a specific machine tool. According to the technical scheme of the invention, the machining accuracy and the machining efficiency of the curved surface are improved through fully developing the machining potential of the multi-axis-linkage CNC.

Description

technical field [0001] The invention relates to a general method for processing complex curved surfaces in wide rows, in particular to a general method for multi-axis linkage numerical control processing of aspherical cutters for complex curved surfaces. Background technique [0002] At present, ball-end cutters are widely used in CNC machining of complex curved surfaces. The ball nose cutter has strong processing adaptability and simple cutter position planning. Theoretically speaking, only three-axis linkage can process any complex curved surface. However, the ball end cutter cannot change the processing bandwidth and processing accuracy through the adjustment of the cutter position and attitude, so the processing accuracy and efficiency are relatively low. Using the multi-degree-of-freedom motion function of the five-axis and above multi-axis linkage CNC machine tool to properly adjust the tool position and attitude of the aspheric tool can obtain the optimal processing ...

AI Technical Summary

Problems solved by technology

However, due to the lack of a unified and standardized description method for the complex tool motion in five-axis and multi-axis CNC machining, and the problems of tool position planning, precision control and interference inspection of aspheric tools are much more complicated than spherical tool processing, at present, Research in this area is limited to a specific type of tool, using an approximate simplified research method, and has not formed a general tool motion control optimization theory.

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