Modeling and Experimental Study on Axial Ultrasonic Vibration-Assisted Milling Force
-
摘要: 轴向超声振动辅助铣削工艺是近年来铣削领域的最新进展之一, 目前对于轴向超声振动铣削力建模的研究相对较少。针对这一问题, 提出了一个考虑轴向振动的超声铣削力建模方法。根据空间中刀尖运动轨迹的坐标, 建立了准确的瞬时切厚模型, 得到不同切削角度下切屑形成力和摩擦力模型。将铣削力与未变形的切屑截面面积建立函数关系, 考虑了瞬时未变形切厚模型以及瞬时切深模型, 得到了轴向冲击力模型。结合切屑形成力模型、摩擦力模型和轴向冲击力模型得到轴向超声振动辅助铣削力模型。研究结果表明: 预测的铣削力变化趋向与实验测得的铣削力变化趋向吻合, 最大峰值力的误差范围在7.53%~17.35%之间。本文结果将为超声振动辅助铣削工艺的优化研究提供理论基础。Abstract: Axial ultrasonic vibration assisted milling technology is one of the latest developments in the field of milling. At present, there are a few studying on the modeling for the milling force. To solve this problem, an ultrasonic milling force modeling method by considering the axial vibration is proposed. According to the coordinates of the movement trajectory of the tool tip in space, the accurate instantaneous cutting thickness model was established, and the chip forming force and friction force models were obtained at different cutting angles. The functional relationship between the impact force and the area of undeformed cut thickness is established, and the instantaneous model of undeformed cut thickness and the instantaneous model for the cutting depth are considered, and the axial impact force model is obtained. Combining the chip forming force model, the friction force model and the axial impact force model, the axial ultrasonic vibration assisted milling force model is sorted out. The result by comparing the experimental value and the predicted of the model shows that the predicted milling force change is consistent with the experimentally measured milling force change, and the maximum peak force contrast error is between 7.53% and 17.35%. The results of this work will provide a theoretical basis for optimizing the milling process assisted by ultrasonic vibration.
-
Key words:
- axial vibration /
- ultrasonic milling /
- analytical model /
- milling forces
-
表 1 刀具参数
参数 参数值 材料 硬质合金 螺旋角 38° 前角 8° 后角 9° 齿间角 90° 表 2 实验加工参数
参数 参数值 切削速度/(m·min-1) 30, 40, 50, 65 进给速度/(mm·min-1) 400, 600 铣削深度/mm 1.2, 6, 10 铣削宽度/mm 0.5 -
[1] CHEN W Q, HUO D H, SHI Y L, et al. State-of-the-art review on vibration-assisted milling: principle, system design, and application[J]. The International Journal of Advanced Manufacturing Technology, 2018, 97(5-8): 2033-2049 doi: 10.1007/s00170-018-2073-z [2] 张德远, 刘静. 飞机紧固孔超声振动精密加工技术研究[J]. 中国机械工程, 2012, 23(4): 421-424 doi: 10.3969/j.issn.1004-132X.2012.04.010ZHANG D Y, LIU J. Study on ultrasonic vibration precision machining technology of aircraft fastener holes[J]. China Mechanical Engineering, 2012, 23(4): 421-424 (in Chinese) doi: 10.3969/j.issn.1004-132X.2012.04.010 [3] 武民. 不同振动方式下的钛合金振动辅助铣削工艺效果研究[D]. 新乡: 河南科技学院, 2018WU M. Influence of vibration modes on process effect in vibration assisted milling of titanium alloy[D]. Xinxiang: Henan Institute of Science and Technology, 2018 (in Chinese) [4] 张德远, 刘逸航, 耿大喜, 等. 超声加工技术的研究进展[J]. 电加工与模具, 2019(5): 1-10, 19 doi: 10.3969/j.issn.1009-279X.2019.05.001ZHANG D Y, LIU Y H, GENG D X, et al. The research progress of ultrasonic machining technology[J]. Electromachining & Mould, 2019(5): 1-10, 19 (in Chinese) doi: 10.3969/j.issn.1009-279X.2019.05.001 [5] HSU C Y, TSAO C C, HUANG C H, et al. A study on ultrasonic vibration milling of inconel 718[J]. Key Engineering Materials, 2009, 419-420: 373-377 doi: 10.4028/www.scientific.net/KEM.419-420.373 [6] IBRAHIM M R, RAFAI N H, RAHIM E A, et al. A study of tool motion in 2 dimensional ultrasonic assisted micro-milling[J]. Applied Mechanics and Materials, 2015, 815: 328-331 doi: 10.4028/www.scientific.net/AMM.815.328 [7] ZARCHI M M A, RAZFAR M R, ABDULLAH A. Investigation of the effect of cutting speed and vibration amplitude on cutting forces in ultrasonic-assisted milling[J]. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 2012, 226(7): 1185-1191 doi: 10.1177/0954405412439666 [8] HALIM N F H A, ASCROFT H, BARNES S. Analysis of tool wear, cutting force, surface roughness and machining temperature during finishing operation of ultrasonic assisted milling (UAM) of carbon Fibre reinforced plastic (CFRP)[J]. Procedia Engineering, 2017, 184: 185-191 doi: 10.1016/j.proeng.2017.04.084 [9] 张明亮, 姜兴刚, 刘佳佳, 等. 钛合金超声椭圆振动铣削参数对切削力的影响[J]. 电加工与模具, 2017(6): 39-41 doi: 10.3969/j.issn.1009-279X.2017.06.010ZHANG M L, JIANG X G, LIU J J, et al. Influence of ultrasonic elliptical vibration milling parameters with titanium alloy on the cutting force[J]. Electromachining & Mould, 2017(6): 39-41 (in Chinese) doi: 10.3969/j.issn.1009-279X.2017.06.010 [10] 高泽, 张德远, 李哲, 等. 高速超声椭圆振动铣削腹板表面质量研究[J]. 机械工程学报, 2019, 55(7): 249-256 https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201907035.htmGAO Z, ZHANG D Y, LI Z, et al. Research on surface quality of titanium alloy webs via high-speed ultrasonic elliptical vibration milling[J]. Journal of Mechanical Engineering, 2019, 55(7): 249-256 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201907035.htm [11] 倪陈兵, 朱立达, 宁晋生, 等. 超声振动辅助铣削钛合金铣削力信号及切屑特征研究[J]. 机械工程学报, 2019, 55(7): 207-216 https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201907029.htmNI C B, ZHU L D, NING J S, et al. Research on the characteristics of cutting force signal and chip in ultrasonic vibration-assisted milling of titanium alloys[J]. Journal of Mechanical Engineering, 2019, 55(7): 207-216 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201907029.htm [12] 王明海, 李世永, 郑耀辉, 等. 超声振动铣削加工参数对切削力的影响[J]. 中国机械工程, 2014, 25(15): 2024-2029 doi: 10.3969/j.issn.1004-132X.2014.15.008WANG M H, LI S Y, ZHENG Y H, et al. Effects of processing parameters on cutting force in ultrasonic vibration milling[J]. China Mechanical Engineering, 2014, 25(15): 2024-2029 (in Chinese) doi: 10.3969/j.issn.1004-132X.2014.15.008 [13] ELHAMI S, RAZFAR M R, FARAHNAKIAN M. Analytical, numerical and experimental study of cutting force during thermally enhanced ultrasonic assisted milling of hardened AISI 4140[J]. International Journal of Mechanical Sciences, 2015, 103: 158-171 doi: 10.1016/j.ijmecsci.2015.09.007 [14] ABOOTORABI ZARCHI M M, RAZFAR M R, ABDULLAH A. Influence of ultrasonic vibrations on side milling of AISI 420 stainless steel[J]. The International Journal of Advanced Manufacturing Technology, 2013, 66(1-4): 83-89 doi: 10.1007/s00170-012-4307-9 [15] SHEN X H, ZHANG J H, YIN T J, et al. A study on cutting force in micro end milling with ultrasonic vibration[J]. Advanced Materials Research, 2010, 97-101: 1910-1914 doi: 10.4028/www.scientific.net/AMR.97-101.1910 [16] DING H, CHEN S J, CHENG K. Two-dimensional vibration-assisted micro end milling: Cutting force modelling and machining process dynamics[J]. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 2010, 224(12): 1775-1783 doi: 10.1243/09544054JEM1984 [17] VERMA G C, PANDEY P M, DIXIT U S. Modeling of static machining force in axial ultrasonic-vibration assisted milling considering acoustic softening[J]. International Journal of Mechanical Sciences, 2018, 136: 1-16 doi: 10.1016/j.ijmecsci.2017.11.048 [18] KO J H, SHAW K C, CHUA H K, et al. Cusp error reduction under high speed micro/meso-scale milling with ultrasonic vibration assistance[J]. International Journal of Precision Engineering and Manufacturing, 2011, 12(1): 15-20 doi: 10.1007/s12541-011-0002-2 [19] UHLMANN E, PROTZ F, STAWISZYNSKI B, et al. Ultrasonic assisted milling of reinforced plastics[J]. Procedia CIRP, 2017, 66: 164-168 doi: 10.1016/j.procir.2017.03.278 [20] HALIM N F H A, ASCROFT H, BARNES S. Analysis of tool wear, cutting force, surface roughness and machining temperature during finishing operation of ultrasonic assisted milling (UAM) of carbon Fibre reinforced plastic (CFRP)[J]. Procedia Engineering, 2017, 184: 185-191 doi: 10.1016/j.proeng.2017.04.084 [21] SUÁREZ A, VEIGA F, DE LACALLE L N L, et al. Effects of ultrasonics-assisted face milling on surface integrity and fatigue life of Ni-Alloy 718[J]. Journal of Materials Engineering and Performance, 2016, 25(11): 5076-5086 doi: 10.1007/s11665-016-2343-6 [22] 王兴文. 超声激励下的SiCp/AL铣削机理及表面质量研究[D]. 太原: 中北大学, 2018WANG X W. SiCp/AL milling mechanism and surface quality under ultrasonic excitation[D]. Taiyuan: North University of China, 2018 (in Chinese) [23] 李炳林, 胡于进, 王学林, 等. 基于斜角切削理论的立铣切削力预测研究[J]. 中国机械工程, 2011, 22(19): 2283-2288 https://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX201119004.htmLI B L, HU Y J, WANG X L, et al. Cutting force prediction based on oblique cutting theory in end milling[J]. China Mechanical Engineering, 2011, 22(19): 2283-2288 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX201119004.htm [24] MERCHANT M E. Mechanics of the metal cutting process. I. orthogonal cutting and a type 2 chip[J]. Journal of Applied Physics, 1945, 16(5): 267 doi: 10.1063/1.1707586 [25] S. 马尔金. 磨削技术理论与应用[M]. 蔡光起, 巩亚东, 宋贵亮, 译. 沈阳: 东北大学出版社, 2002MALKIN S. Theory and application of machining with abrasives[M]. CAI G Q, GONG Y D, SONG G L, trans. Shenyang: Northeastern University Press, 2002 (in Chinese) [26] DURGUMAHANTI U S P, SINGH V, RAO P V. A new model for grinding force prediction and analysis[J]. International Journal of Machine Tools and Manufacture, 2010, 50(3): 231-240 doi: 10.1016/j.ijmachtools.2009.12.004 [27] ABOOTORABI ZARCHI M M, RAZFAR M R, ABDULLAH A. Influence of ultrasonic vibrations on side milling of AISI 420 stainless steel[J]. The International Journal of Advanced Manufacturing Technology, 2013, 66(1-4): 83-89 doi: 10.1007/s00170-012-4307-9 [28] 任敬心, 华定安. 磨削原理[M]. 西安: 西北工业大学出版社, 1988REN J X, HUA D A. Grinding principle[M]. Xi'an: Electronic Industry Press, 1988 (in Chinese)