Parameter curve interpolation method based on vector interpolation of conical surface cutter

Abstract

The invention provides a parameter curve interpolation method based on vector interpolation of a conical surface cutter, and relates to the technical field of numerical control machining. The method comprises the following steps of: inputting a numerical control machining program by using a programming format suitable for the method according to the machining requirement; determining an attitude curve equation of the conical surface cutter according to the read-in numerical control machining program; establishing a local rectangular coordinate system and constructing a section of virtual arc which passes through a head endpoint and a tail endpoint of a parameter curve C(u) and has a fixed degree according to the read-in numerical control machining program; interpolating the parameter curve by using an interpolation function of the parameter curve to determine the coordinate of a cutter point in an interpolation period; and determining a cutter vector corresponding to each solved interpolation point by a virtual arc method. The method has the advantages that: the cutter vector is accurately changed, machining accuracy is high, the number of code segments is small, and machining efficiency is high.

Description

technical field [0001] The invention provides a parameter curve interpolation method based on the vector interpolation of a conical surface cutter, and relates to the technical field of numerical control machining. This method can ensure that the tool vector is always on the required conical surface, and the tool point always moves on the required parameter curve during five-axis numerical control machining. Background technique [0002] In the process of industrial product design, parametric curves and conic surfaces are commonly used to represent the shape of parts. When processing such parts, it must be ensured that the tool nose point and the corresponding tool vector always move on the required parameter curve and conical surface. Due to the addition of two rotational degrees of freedom, the five-axis CNC machine tool greatly enhances the processing flexibility and is more suitable for processing such parts. [0003] The existing five-axis CNC systems mostly use linea...

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Problems solved by technology

The above methods have the following disadvantages: First, the conical surface must be discretized, which cannot avoid the influence of errors generated during the generation of discrete tool vectors on the fitting curve; second, multiple fittings are likely to cause large fitting errors and reduce machining accuracy , and when the number of fitting points is too large, the time-consuming and algorithmic complexity of the above method will continue to increase; in addition, a large number of discrete tool tip position point coordinates and corresponding tool vectors need to be input, and the number of code segments is huge

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