本論文探討以人造花崗岩填充小型加工機鋁擠型結構如龍門動柱、床台等，以提升加工機台之動態特性與加工穩定性，並建立一套分析人造花崗岩加強結構與加工機切削性能之系統。前導實驗首先以單一結構件填充聚合物混凝土與人造花崗岩前、後進行有限元素分析與動態特性實驗比較，利用動態特性實驗得到結構填料前、後之頻率響應函數(FRF)及結構參數，探討兩種材料對於結構動態特性之影響。本研究以銑削力模式為基礎，配合動態銑削模式進行加工穩定性探討，以結構參數預測轉速、軸向、徑向切深對加工穩定性影響，針對結構參數與不同刀具及材料下預測加工穩定極限圖，由所預測極限圖選擇最高與最低極限之轉速條件設計加工參數後，並藉由實驗驗證預測之加工穩定極限圖，最後比較加工機填料前、後之動態特性與加工穩定性改善成效，由結果顯示填入人造花崗岩可提高系統阻尼與剛性。

This thesis presents that use epoxy granite filling small machine tool extruded aluminum structures, such as gantry column, bed, to enhance the dynamic characteristics and machining stability of the machine tool, and establish an analysis system of use epoxy granite reinforcing structure and machining stability. First, fill epoxy granite and concrete into the single structural component, process the experiment and simulation of the dynamic characteristic, frequency response function(FRF) and structure parameters are obtained in dynamic characteristic experiment, then compare the result before and after filling composite materials. This study based on the average milling force model to investigate machining stability with dynamic milling system, then using FRF to predict the effect of spindle speed, axial、radial depth of cut on machining stability. Plot the stability lobes under the situations using different tools and materials, choose the highest and lowest depth of cut limit and design machining parameters, experiment was conducted to verify the accuracy of prediction. Finally compare the dynamic characteristics and machining stability between. Finally, compare the diffrence of dynamic characteristics and machining stability between before and after filling composite materials. The result shows that filling the composite material improved system damping ratio and stiffness.

Abuthakeer, S.S., Mohanram P.V. and Mohankumar, G., "Static and Dynamic Performance Improvement of Conventional Computer Numerical Control Machine Tool Bed with Hybrid Welded Steel, " American Journal of Applied Sciences 8,Vol.6, pp.610-616, 2011.
Alexander H. Slocum , " Precision Machine Design, ", pp. 332-340, 1994.
Altintas, Y. and Budak, E., " Analytical Prediction of Stability Lobes in Milling, " Annals of the CIRP, 44(1), pp. 357-362, 1995.
Antonio Piratelli-Filho, Flamínio Levy-Neto, " Behavior of Granite-Epoxy Composite Beams Subjected to Mechanical Vibrations, " Material Research, Vol.13, pp.497-503, (2010).
Bayly, P. V., Halley, J. E., Mann, B. P., and Davies, M. A. , " Stability of Interrupted Cutting by Temporal Finite Element Analysis," Journal of Manufacturing Science and Engineering, Transactions of the ASME, 125(2), pp. 220-225, 2003.
Corte´s, F. and Castillo, G. " Comparison between the dynamical properties of polymer concrete and grey cast iron for machine tool applications, " Material Design,28, pp. 1461-1466, 2007.
Dai Gil Lee, Jung Do Suh, Hak Sung Kim, Jong Min Kim, " Design and manufacture of composite high speed machine tool structures, " Composites Science and Technology, Vol. 64, pp. 1523–1530, 2004.
Ding Y., Zhu L.M, Zhang X.J, and Ding H, " A full-discretization method for prediction of milling stability, " International Journal of Machine Tools and Manufacture, vol. 50, no. 5, pp.502-509, 2010.
Hyun Surk Kim, Kyu Yeol Park, Dai Gil Lee, " A study on the epoxy resin concrete for the ultra-precision machine tool bed, " Journal of Materials Processing Technology, Vol.48, pp. 649-655, 1995.
Insperger, T., and Stépán, G., " Semi-Discretization Method for Delayed Systems," International Journal for Numerical Methods in Engineering, 55(5), pp.503–518, 2002.
Insperger, T., and Stépán, G., " Updated Semi-Discretization Method for Periodic Delay-Differential Equations with Discrete Delay, " International Journal for Numerical Methods in Engineering, 61(1), pp. 117–141, 2004.
Jung Do Suh, Dai Gil Lee , " Design and manufacture of hybrid polymer concrete bed for high‐speed CNC milling machine, " International Journal of Mechanics and Materials in Design, Vol. 4, pp.113-121, 2008.
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.
Lee, S. W., Mayor, R. and Ni, J., " Dynamic Analysis of a Mesoscale Machine Tool, " ASME, J. Manufacturing Science and Engineering, Vol. 128, pp. 194-203, 2006.
Martellotti, M. E., " An Analysis of the Milling Process, " Transaction of ASME, Vol. 63, pp.677-700, 1941.
Martellotti, M. E., " An Analysis of the Milling Process, Part 2: Down Milling, " Transaction of ASME, Vol. 67, pp. 233-251, 1945.
McKeown, P.A., Morgan, G.H., "Epoxy granite：a structure material for precision machines, " Precision Engineering, Vol.1, pp. 227-229, 1979.
Melkote, S. N. and Endres, W. J., " The Importance of Including Size Effect When Modeling Slot Milling, " ASME Journal of Manufacturing Science and Engineering, Vol. 120, pp. 69-75, 1998.
Merdol, S. D., and Altintas, Y., " Multi Frequency Solution of Chatter Stability for Low Immersion Milling, " Journal of Manufacturing Science and Engineering, Transactions of the ASME, 126(3), pp. 459-466, 2004.
Minis , I., and Yanushevsky, T., " A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling, " ASME Journal of Prediction of Engineering for Industry, Vol.18, pp.1-8, 1993.
Patel, B. R., Mann, B. P., and Young, K. A., " Uncharted Islands of Chatter Instability in Milling, " International Journal of Machine Tools and Manufacture, 48(1), pp. 124-134, 2008.
Ping Xu, Ying-hua Yu, " Research on steel-fibber polymer concrete machine tool structure, " Journal of Coal Science and Engineering(China), Vol.14, pp. 689-692, 2008.
Rahman, M., Mansur, M.A., Chua K.H., " Evaluation of a Lathe with Ferrocement Bed, " CIRP Annals-Manufacturing Technology, Vol.42, pp. 437-440, 1993.
Sabberwal, A. J. P., " Chip Section and Cutting Force During the Milling Operation, " Annals of the CIRP, Vol. 10, pp. 197-203, 1961.
Schmitz, T.L., and Smith, K.S., Machining Dynamics：Frequency Response to Improved Productivity, Springer, New York, 2008.
Selvakumar, A., Mohanram, P.V., " Analysis of Alternative Composite Material for High Speed Precision Machine Tool Structure, " Annals of Faculty Engineering Hunedoara-International Journal of Engineering, Vol.2, pp. 95-98, 2012.
Sezan Orak, " Investigation on vibration damping on polymer concrete with polyester resin, " Comment and Concrete Research, Vol.30, pp. 171-174, 2000.
Tlusty, J., and MacNeil, P., " Dynamics of Cutting Forces in End Milling, " CIRP annals, Vol. 24, pp. 21-25, 1975.
Tobias, S.A., and Fishwick, W.W., " Theory of Regenerative Machine Tool Chatter, " Engineering,205, 1958.
Wang, J. J., and Zheng C. M., " An analytical force model with shearing and ploughing mechanisms for end milling, " International Journal of Machine Tools & Manufacture, Vol.42, pp.761-771, 2002.
Wang, J. J., Convolution Modeling of Milling Force System and Its Application to Cutter Run-out Identification, Ph.D. thesis, School of Mechanical Engineering, Georgia Institute of Technology, April. , 1992
Wang, W., Kweon, S. H. and Yang, S. H., " A study on roughness of the micro-end-milled surface produced by a miniature machine tool, " Journal of Materials Processing Technology, Vol. 41, pp. 702-708, 2005.
Yoshihiko Ohama, " Recent progress in concrete-polymer composites, " Advanced Cement Based Materials, Vol.5, pp. 31-40, 1997.