ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Approximation Method of Tunnel Surfaces with General Cylindrical Surfaces and Its Application in Plunge Milling of Impellers
Received date: 2013-09-09
Revised date: 2013-10-17
Online published: 2013-10-24
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.
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 . DOI: 10.7527/S1000-6893.2013.0436
[1] Liu X W. NC five-axis cylindrical milling of sculptured surfaces[J]. Computer-Aided Design, 1995, 27(12): 887-894.
[2] Redonnet J M, Rubio W, Dessein G. Side milling of ruled surfaces: Optimum positioning of the milling cutter and calculation of interference[J]. The International Journal of Advanced Manufacturing Technology, 1998, 14(7): 459-465.
[3] Gong H, Cao L X, Liu J. Improved positioning of cylindrical cutter for flank milling ruled surfaces[J]. Computer-Aided Design, 2005, 37(12): 1205-1213.
[4] Altintas Y, Ko J H. Chatter stability of plunge milling [J]. Annals of the CIRP, 2006, 55(1): 361-364.
[5] Ko J H, Altintas Y. Time domain model of plunge milling operation[J]. Machine Tools and Manufacture, 2007, 47(9): 1351-1361.
[6] Hu C G, Zhang D H, Ren J X, et al. Research on the plunge milling of blisk tunnel[J]. China Mechanical Engineering, 2007, 18(2): 153-155. (in Chinese) 胡创国, 张定华, 任军学, 等. 开式整体叶盘通道插铣粗加工技术的研究[J]. 中国机械工程, 2007, 18(2): 153-155.
[7] Ren J X, Jiang Z N, Yao C F, et al. Process for 4-axis high efficiency slot plunge milling of open blisk[J]. Acta Aeronautica et Astronautica Sinica, 2008, 29(6): 1692-1698. (in Chinese) 任军学, 姜振南, 姚倡锋, 等. 开式整体叶盘四坐标高效开槽插铣工艺方法[J]. 航空学报, 2008, 29(6): 1692-1698.
[8] Ren J X, Tian W J, Yao C F, et al. Experimental study on the overall structure of titanium alloy with high-effect plunge milling process [J]. China Mechanical Engineering, 2008, 19(22): 2758-2761. (in Chinese) 任军学, 田卫军, 姚倡锋, 等. 钛合金整体结构件高效插铣工艺实验研究[J]. 中国机械工程, 2008, 19(22): 2758-2761.
[9] Ren J X, Yang D W, Yao C F, et al. A cutter-axis vector control method for open blisk 4-axis NC machining based on the control curve[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(8): 1515-1523. (in Chinese) 任军学, 杨大望, 姚倡锋, 等. 基于控制线的开式整体叶盘叶片四轴数控加工刀轴控制方法[J]. 航空学报, 2012, 33(8): 1515-1523.
[10] Liang Q, Wang Y Z, Fu H Y, et al. Key technologies in ruling surface impeller plunge milling[J]. Computer Integrated Manufacturing Systems, 2010, 16(1): 182-187. (in Chinese) 梁全, 王永章, 富宏亚, 等.直纹面叶轮插铣加工关键技术[J]. 计算机集成制造系统, 2010, 16(1): 182-187.
[11] Li T, Chen W Y, Chen C H. Rough machining method for blisk plunge milling[J]. Computer Integrated Manufacturing Systems, 2010, 16(8): 1696-1701. (in Chinese) 李湉, 陈五一, 陈彩红. 整体叶轮插铣粗加工算法[J]. 计算机集成制造系统, 2010, 16(8): 1696-1701.
[12] Sun J, Cai Y L. Non-isoparametric tool-path planning based on plunge milling[J]. Equipment Manufacturing Technology, 2009(7): 5-7. (in Chinese) 孙晶, 蔡永林. 基于插铣加工的非等参数刀具轨迹生成方法[J]. 装备制造技术, 2009(7): 5-7.
[13] Pei L Q, Wei G J, Bi H B. Study of linear axes milling method in 3D impeller[J]. Compressor Blower & Fan Technology, 2013(2): 49-51.(in Chinese) 裴立群, 魏国家, 毕海波. 直线轴联动铣制三元叶轮方法研究[J]. 风机技术, 2013(2): 49-51.
[14] Shi F Z. Computer-aided geometric design and non-uniform rational B-spline[M]. Beijing: Higher Education Press, 2001: 228-241. (in Chinese) 施法中. 计算机辅助几何设计与非均匀有理B样条[M]. 北京: 高等教育出版社, 2001: 228-241.
[15] Liu J, Wang X M. Saddle point programming and geometric error evaluation[M]. Dalian: Dalian University of Technology Press, 1996: 191-197.(in Chinese) 刘健, 王晓明. 鞍点规划与形位误差评定[M]. 大连: 大连理工大学出版社, 1996: 191-197.
[16] Patrikalakis N M, Maekawa T. Shape interrogation for computer aided design and manufacturing[M]. New York: Springer, 2001: 73-109.
/
| 〈 |
|
〉 |
CJA