Point vector envelope method for determining processed spiral surface contour by forming cutter

Abstract

The present invention discloses a point vector envelope method for determining a processed spiral surface contour by a forming cutter, belonging to the field of spiral surface manufacture. Firstly, the point discrete of a forming cutter contour bus is carried out according to an average criterion, a point vector formed by a discrete point and the normal vector of the discrete point is used to completely describe a space discrete point. The gyratory motion trajectory of the contour bus point vector is subjected to discrete, and the process of enveloping the spiral surface by the forming cutter is completely simulated with the envelop movement of the point vector. The method of point vector approximating the spiral surface is used, a plane point vector envelop rule and an envelope approximation method are established, a point with a shortest orientation-distance to the spiral surface in a point vector family is determined as an envelope point, and finally the spiral surface contour is formed by all envelope points by fitting.

Description

technical field [0001] The invention belongs to the field of manufacturing spiral curved surfaces, in particular to the field of forming and manufacturing spiral curved surfaces, and relates to a point-vector envelope method for determining the profile of a processed spiral curved surface by a forming tool. Background technique [0002] Spiral curved surface is a kind of curved surface that is widely used in engineering. It is mainly used in gears, worms, helical blades and machining tools. The forming method is a main processing method for spiral curved surfaces. Most of the forming tools use a revolving surface, and the generatrix of the revolving surface is in a spatial mapping relationship with the molded line of the helical surface to be processed. However, whether the profile of the forming tool is correct or not, especially whether there is interference, generally needs to be judged by calculating whether the profile of the helical surface processed by the forming too...

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Problems solved by technology

On the one hand, the entire modeling process involves cumbersome formula derivation and a large number of mathematical calculations. It is difficult for ordinary engineering and technical personnel to master this set of theories and calculation methods; on the other hand, when using a computer to solve the model, Due to the diversification of analytical equations and their derivation calculations, it is difficult to establish a general computer method

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