銑削製程為工業界應用廣泛的加工方式之一，其中循圓端銑常出現在各式零組件或模具的加工製程中，其加工應用範圍廣，如何有效掌握與預測加工件尺寸誤差之能力極為重要。
本論文針對圓柱型工件，建立工件之尺寸與幾何誤差誤差解析模式。此解析模式主要可分為兩部分，首先為將銑削力捲積模式，應用於計算刀具與工件之受銑削力撓曲，建立準靜態與穩定切削下之刀具與工件受瞬時銑削力之撓曲解析模式；其特點為能了解刀具與工件幾何、切削條件等各製程參數，對尺寸誤差之影響；另外一部分為建立刀具偏擺於循圓銑削時，在不同循圓位置與切削高度上對於工件尺寸誤差影響之解析式，預測工件尺寸誤差與其分布情形。實驗結果顯示，本文提出之工件尺寸預測模式，能有效掌握循圓端銑圓柱工件之尺寸與幾何誤差。

The milling process has been widely used in industry. Circular milling is one of the frequently used operation to machine precision parts and mold. Consequently, a general method that can predict the dimension error is needed.

This thesis presents an analytical model applying to predict the dimension and geometrical error of a cylindrical part in circular milling process. The analytical model composes of two factors. One is the force induced deflection of cutter and machining part. The other is the tool runout which affects the dimension and geometrical error of a machining part. The proposed analytical model give an insight into the influence of geometry of cutter and workpiece, cutting condition and tool runout on the dimension error. This model is validated by cylinder machining experiments. The measurement results show good agreement with the prediction .

[1]Martellotti, M. E., “An Analysis of the Milling Process,” Transaction of ASME, Vol. 63, pp.677-700, 1941.
[2]Koenigsberger, F., and Sabberwal, A. J. P., “An investigation into the cutting force pulsations during milling operations,” International journal of machine tool design and research, Vol. 1, pp. 15-33, 1961.
[3]Tlusty, J. and MacNeil, P., “Dynamics of Cutting Forces in End milling,” CIRP annals, Vol. 24, pp. 21-25, 1975.
[4]Kline, W. A., DeVor, R. E. and Shareef, I. A., “The prediction of surface accuracy in end milling,” ASME Journal of Engineering for Industry, Vol. 104, pp. 272-278, 1982.
[5]Smith, S., and Tlusty, J., “An overview of modeling and simulation of the milling process,” ASME Journal of Engineering for Industry, Vol. 113, pp. 169-175, 1991.
[6]Budak, E. and Altintas, Y., “Peripheral milling conditions for improved dimensional accuracy,” International Journal of Machine Tools & Manufacture, Vol. 34, pp. 907-918, 1994.
[7]Wang, J.-J., Liang, S. Y. and Book, J. W., “Convolution analysis of Milling Force Pulsation,” ASME Journal of Engineering for Industry, Vol. 116, pp. 17-25, 1994.
[8]Liang, S. Y. and Wang, J.-J., “Milling force convolution modeling for identification of cutter axis offset” International Journal of Machine Tools & Manufacture, Vol. 34, pp. 1177-1190, 1994.
[9]Yun, W. S. and Ko, J. H., “Development of virtual machining system, part 2: prediction and analysis of a machined surface error,” International Journal of Machine Tools & Manufacture, ” Vol. 42, pp. 1607-1615, 2002.
[10]Kardes, N. and Altintas, Y. “Mechanics and dynamics of the circular milling process,” Transaction of ASME, Vol. 129, pp.21-31, 2007.
[11]Islam, M. N., Lee, H. U. and Cho, D. W. “Prediction and analysis of size tolerances achievable in peripheral end milling” International Journal of advance manufacture technology, ”Vol. 39, pp. 129-141, 2008.
[12]Schmitz, T. L., Ziegert, J. C., Canning, J. S., and Zapata, R., “Case study : Acomparison of error sources in high-speed milling,” Precision Engineering, Vol. 32, pp. 126-133, 2008.
[13]Bera, T. C., Desai, K. A., and RAO, P. V. M., “Error compensation in flexible end milling of tubular geometries” Journal of Materials Process Technolgy, Vol211, pp.24-34, 2011.
[14]彭仕良, 撓件銑削加工尺寸誤差及自動補償之研究,國立成功大學機械工程學系碩士論文, 1996。
[15]彭啟明, 銑削動態力與工具機空間誤差對加工件尺寸誤差之影響, 國立成功大學機械工程學系碩士論文, 2009。
[16]李育儒, 銑削製程工件形狀幾何變異分析, 國立成功大學機械工程學系碩士論文, 2010。
[17]江浩寧, 加工系統誤差分析及其在銑削加工上策略之應用,國立成功大學機械工程學系博士論文, 2011。