| 研究生: |
魏旭宏 Wei, Syu-Hung |
|---|---|
| 論文名稱: |
考慮製程阻尼之微銑削Z形穩定圖 A Z-shaped Stability Diagram in Micro-milling with Process Damping |
| 指導教授: |
王俊志
Wang, Jiunn-Jyh |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2020 |
| 畢業學年度: | 108 |
| 語文別: | 中文 |
| 論文頁數: | 57 |
| 中文關鍵詞: | 銑削製程 、製程阻尼 、Z形穩定圖 |
| 外文關鍵詞: | Milling Stability, Z-shaped diagram, Process damping |
| 相關次數: | 點閱:60 下載:0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本文探討銑刀刀腹犁切機制下產生的製程阻尼對銑削製程中臨界切深曲線的影響,並提出其預測流程。首先在零階近似模式下利用含製程阻尼非線性之系統特徵方程式,觀察其對刀尖結構動撓度之奈氏圖變化,發現在製程阻尼效應增強時,低頻部分變形程度勝過高頻部分。接著導入製程剛性與刀尖結構動撓度相交且相位落後前刃180°之概念繪製穩定葉瓣圖,結果顯示臨界切深曲線在低切線速度有拉抬效應,與過往文獻相符,亦觀察到在特定切線速度下,隨軸向切深提高,銑削穩定性會變換數次。
銑削穩定性變換源自製程阻尼對刀尖結構動撓度的影響,進而造成穩定葉瓣變形,並在低切線速度區因製程阻尼過強使葉瓣變形嚴重且擁擠,導致臨界切深曲線呈現”Z”字形輪廓。此外,Z形臨界切深曲線中,Z形上枝顫振頻率低於刀尖結構模態自然頻率,此現象可藉由零階近似解析式與數值模擬驗證。最後,為求此非線性系統特徵方程式之近似解,本文提供一流程建立Z形穩定圖,並以實驗驗證Z形穩定圖之現象。
This study investigates the effect of process damping produced by ploughing mechanism on tool flank on critical depth curve, and a prediction model is proposed. First of all, based on Zero-Order Approximation, realizing the Nyquist plot of tooltip receptance with process damping and distortion in low frequency parts exceeds high frequency parts. Then, Stability lobes diagram can be constructed by intersection of two parameters, stiffness receptance and process receptance, which abbreviated to Rs and Rp and by the concept that phase lag of previous cut equals to 180 degree. Results show that critical depth of cut lifts in low cutting speed, having a good agreement with previous studies. In addition, the stability state may alternate several times with an increasing axial depth at given cutting speed.
Alternation of stability originates the deformation of stability lobes due to effects on tooltip receptance. Moreover, strong process damping in low cutting speed makes lobes crowded and be out of shape, leading a “Z” shaped stability diagram. However, chatter frequency is lower than modal frequency of tooltip on upper branch of Z, it can be proved by ZOA and numerical simulation. At last, in order to solve this nonlinear characteristic equation, this thesis provide a process to build Z-shaped stability diagram and experimentally validate it.
[1] Ahmadi, K and Ismail, F, "Stability lobes in milling including process damping and utilizing multi-frequency and semi-discretization methods," International Journal of Machine Tools and Manufacture, vol. 54, pp. 46-54, 2012.
[2] Albrecht, Paul, "New developments in the theory of the metal-cutting process: part I. The ploughing process in metal cutting," 1960.
[3] Altintaş, Y and Budak, Erhan, "Analytical prediction of stability lobes in milling," CIRP annals, vol. 44, no. 1, pp. 357-362, 1995.
[4] Armarego, EJA and Whitfield, RC, "Computer based modelling of popular machining operations for force and power prediction," CIRP Annals, vol. 34, no. 1, pp. 65-69, 1985.
[5] Arnold, RaN, "Cutting tools research: report of subcommittee on carbide tools: the mechanism of tool vibration in the cutting of steel," Proceedings of the institution of mechanical engineers, vol. 154, no. 1, pp. 261-284, 1946.
[6] Budak, E and Altintas, Y, "Analytical prediction of chatter stability in milling—part I: general formulation," 1998.
[7] Budak, E and Altintas, Y, "Analytical prediction of chatter stability in milling—part II: application of the general formulation to common milling systems," 1998.
[8] Ding, Ye, Zhu, LiMin, Zhang, XiaoJian, and Ding, Han, "A full-discretization method for prediction of milling stability," International Journal of Machine Tools and Manufacture, vol. 50, no. 5, pp. 502-509, 2010.
[9] Hahn, RS, "On the theory of regenerative chatter in precision-grinding operations," Trans. ASME, pp. 593-597, 1954.
[10] Hohn, RE, Sridhar, R, and Long, GW, "A stability algorithm for a special case of the milling process: contribution to machine tool chatter research—6," 1968.
[11] Huang, CY and Wang, JJ Junz, "Mechanistic modeling of process damping in peripheral milling," 2007.
[12] Insperger, Tamás and Stépán, Gábor, "Updated semi‐discretization method for periodic delay‐differential equations with discrete delay," International Journal for Numerical Methods in Engineering, vol. 61, no. 1, pp. 117-141, 2004.
[13] Jin, Xiaoliang and Altintas, Yusuf, "Chatter stability model of micro-milling with process damping," Journal of manufacturing science and engineering, vol. 135, no. 3, 2013.
[14] Kline, WA, DeVor, RE, and Lindberg, JR, "The prediction of cutting forces in end milling with application to cornering cuts," International Journal of Machine Tool Design and Research, vol. 22, no. 1, pp. 7-22, 1982.
[15] Kobayashi, S and Thomsen, EG, "Some observations on the shearing process in metal cutting," Journal of Engineering for industry, vol. 81, no. 3, pp. 251-262, 1959.
[16] Koenigsberger, F and Sabberwal, AJP, "An investigation into the cutting force pulsations during milling operations," International Journal of Machine Tool Design and Research, vol. 1, no. 1-2, pp. 15-33, 1961.
[17] Martellotti, "An analysis of the milling process: Part II - Donwn milling," ASME, vol. 67, pp. 233-251, 1945.
[18] Merritt, HE, "Theory of self-excited machine-tool chatter: Contribution to machine-tool chatter research—1," 1965.
[19] Rahnama, Ramin, Sajjadi, Mozhdeh, and Park, Simon S, "Chatter suppression in micro end milling with process damping," Journal of Materials Processing Technology, vol. 209, no. 17, pp. 5766-5776, 2009.
[20] Sisson, Timothy Raymond and Kegg, Richard L, "An explanation of low-speed chatter effects," 1969.
[21] Tlusty, J, "Dynamics of cutting forces in end milling," Annals of CIRP, vol. 24, no. 1, pp. 22-25, 1975.
[22] Tlusty, J and Ismail, F, "Special aspects of chatter in milling," 1983.
[23] Tobias, SA and Fishwick, W, "The vibrations of radial-drilling machines under test and working conditions," Proceedings of the Institution of Mechanical Engineers, vol. 170, no. 1, pp. 232-264, 1956.
[24] Tobias, SA and Fishwick, W, "Theory of regenerative machine tool chatter," The engineer, vol. 205, no. 7, pp. 199-203, 1958.
[25] Wang, J-J Junz and Zheng, CM, "An analytical force model with shearing and ploughing mechanisms for end milling," International Journal of Machine Tools and Manufacture, vol. 42, no. 7, pp. 761-771, 2002.
[26] Wang, J-J Junz, Liang, Steven Y, and Book, Wayne John, "Convolution analysis of milling force pulsation," 1994.
[27] Wang, JJ and Sung, CF, "Trajectories of forces and displacements in stable and unstable milling," The International Journal of Advanced Manufacturing Technology, vol. 89, no. 9-12, pp. 2803-2819, 2017.
[28] Wang, JJ, Uhlmann, E, Oberschmidt, D, Sung, CF, and Perfilov, I, "Critical depth of cut and asymptotic spindle speed for chatter in micro milling with process damping," CIRP Annals, vol. 65, no. 1, pp. 113-116, 2016.