通道曲面的柱面逼近方法及其在叶轮插铣中的应用

doi:10.7527/S1000-6893.2013.0436

Abstract

Abstract:

In order to make the machined tunnel surface of an impeller as close as possible to its designed surface, the theoretical model of the plunge milling of an impeller with fixed rotating axis is summarized as an optimization problem of finding the maximum inscribed general cylindrical surface of the impeller's tunnel surface. This optimal problem is then divided into two processes to reduce the computational difficulties, i.e., the determination of the direction of the ruled line and the determination of the directrix of the general cylindrical surface. A least square model and its corresponding solving methods for the determination of the direction of the ruled line of the general cylindrical surface are presented. Based on these, the tunnel surface is projected on a plane in the direction of the ruled line, and the directrix of the general cylindrical surface is resolved based on the intersecting operations between the related curves. For the plunge milling of the impeller's tunnel surface, the acquired directrix is used as the boundary curve of the machining area, and the axis of the flat end mill is set to be parallel to the direction of the ruled line. An iterative algorithm for determining the cutter center and the safe height of the flat end mill is given. Finally, the effectiveness of the proposed methods is verified by a numerical example. The proposed method will be helpful for the enhancement of the rough milling efficiency and the evenness of the remained finish machining allowance of the impeller.

Key words: impellers, plunge milling with fixed rotating axis, maximum inscribed general cylindrical surface, least square method, NC machining

CLC Number:

V261
TP391

DONG Lei, CAO Lixin. Approximation Method of Tunnel Surfaces with General Cylindrical Surfaces and Its Application in Plunge Milling of Impellers[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(8): 2331-2340.

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Approximation Method of Tunnel Surfaces with General Cylindrical Surfaces and Its Application in Plunge Milling of Impellers

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