基于包络理论的刀位误差快速求解算法

Abstract

Abstract: In order to improve the low calculation efficiency of tool position error in the programming of 5-axis numerical control (NC) machining, a quick calculation method of tool position error based on envelope theory is proposed. First, a relationship equation is established between the shortest distance line and the tool position error. Then, the workpiece surface is discretized into a number of sectional curves along the feed direction. With the tangent condition of the envelope theory, another basic equation is presented to calculate the shortest distances between the tool surface and the workpiece surface sectional curves. The shortest distance line and tool position error can be obtained through the equation. Then the error distribution curves can be established. Finally, the problem of surface sectional curve discretization is studied through analyzing the characteristics of different error distribution curves. On this basis, calculation flows are designed, and programs developed. Calculation examples are given in this paper in which the calculation efficiency of the new method is compared with that of the previous method. It is shown that the new method can greatly improve the calculation efficiency of the shortest distance pair.

Key words: tool position error, sculptured surface, NC machining, the shortest distance pair, envelope theory

CLC Number:

TP391.72

YAN Jiayong, CHEN Zhitong, HE Ying. A Quick Calculation Method of Tool Position Error Based on Envelope Theory[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011, 32(11): 2131-2139.

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A Quick Calculation Method of Tool Position Error Based on Envelope Theory

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