Grinding Force Modeling of Two-Dimensional Ultrasonic Vibration Assisted Grinding

doi:10.12068/j.issn.1005-3026.2024.08.009

Abstract

Abstract:

Based on the study of the motion characteristics of a single abrasive particle under two?dimensional ultrasonic vibration， the average chip thickness was determined according to the principle of constant volume. Based on the geometric shape of the abrasive grain and the elastic recovery rate of the material， the chip deformation force model is derived. According to the friction force from the elastic contact between the abrasive particles and the workpiece and the chip outflow， the friction model is established. Considering the impact of high frequency vibration on the total grinding force， the impact force model is obtained. Combining the chip deformation force， friction force and impact force model， the grinding force model of two?dimensional ultrasonic grinding is obtained. Through the experimental study of two?dimensional ultrasonic grinding of alumina ceramic materials， the constants in the model are determined， and the rationality of the grinding force model is verified. The results show that the average errors between the experimental values and the theoretical values of the normal force and the tangential force are 11.09% and 8.07%， respectively， and the maximum error does not exceed 20%. Thus， the model has a predictive effect.

Key words: grinding force, ultrasonic vibration, kinematic characteristics, grinding force model, alumina ceramics

CLC Number:

TH 145

Lian-jie MA, Li-ye SUN, Zhe QIU, Hong-shuang LI. Grinding Force Modeling of Two-Dimensional Ultrasonic Vibration Assisted Grinding[J]. Journal of Northeastern University(Natural Science), 2024, 45(8): 1135-1142.

Figures/Tables 13

Fig. 1 Two?dimensional ultrasonic grinding sketch

Fig. 2 Motion model of single grains in two?dimensional ultrasonic grinding

Fig. 3 Geometric shape of abrasive grains on the grinding wheel surface

Fig. 4 Contact model between abrasive particles and workpiece

Fig. 5 Schematic diagram of the single abrasive cutting workpiece

Fig. 6 Top view of single abrasive cutting workpiece

Fig. 7 Experimental device

Table 1 Experimental conditions

参数	取值
超声频率f/kHz	19.7
超声振幅A/μm	0，1，2，3，4，5，6
v_s/(m·s^-1)	10，15，20，25，30，35，40
v_w/(mm·min^-1)	300，600，900，1 200，1 500，1 800，2 100
磨削深度a_p/μm	10，15，20，25，30，35，40

Fig. 8 Grinding force signals

Fig. 9 Comparison of experimental and theoretical values with different parameters

Fig 10 Surface morphology at different workpiece

Fig. 11 Surface morphology with different grinding

Fig. 12 Comparison of relative errors between experimental and theoretical values of normal force and tangential force

References 16

1	Ma L J， Gong Y D， Chen X H，et al.Surface roughness model in experiment of grinding engineering glass‑ceramics［J］.Proceedings of the Institution of Mechanical Engineers，Part B：Journal of Engineering Manufacture，2014，228（12）：1563-1569.
2	马廉洁，李红双.脆性材料机械加工表面粗糙度模型的研究进展［J］.中国机械工程，2022，33（7）：757-768.
	Ma Lian‑jie， Li Hong‑shuang.Research progresses on surface roughness model of brittle material machining［J］.China Mechanical Engineering，2022，33（7）：757-768.
3	Li H B， Chen T， Duan Z Y，et al.A grinding force model in two‑dimensional ultrasonic‑assisted grinding of silicon carbide［J］.Journal of Materials Processing Technology，2022，304：117568.
4	He Y H， Zhou Q， Zhou J J，et al.Comprehensive modeling approach of axial ultrasonic vibration grinding force ［J］.Journal of Central South University，2016，23（3）：562-569.
5	Wang H， Pei Z J， Cong W L.A feeding‑directional cutting force model for end surface grinding of CFRP composites using rotary ultrasonic machining with elliptical ultrasonic vibration［J］.International Journal of Machine Tools and Manufacture，2020，152：103540.
6	Shi H Y， Yuan S M， Zhang C，et al.A cutting force prediction model for rotary ultrasonic side grinding of CFRP composites considering coexistence of brittleness and ductility［J］.International Journal of Advanced Manufacturing Technology，2020，106（5）：2403-2414.
7	Huang C， Zhou M， Zhang H J.A cutting force prediction model in axial ultrasonic vibration end grinding for BK7 optical glass considering protrusion height of abrasive grits［J］.Measurement，2021，180：109512.
8	Lei X F， Xiang D H， Peng P C，et al.Establishment of dynamic grinding force model for ultrasonic‑assisted single abrasive high‑speed grinding［J］.Journal of Materials Processing Technology，2022，300：117420.
9	Yang Z C， Zhu L D， Lin B，et al.The grinding force modeling and experimental study of ZrO₂ ceramic materials in ultrasonic vibration assisted grinding［J］.Ceramics International，2019，45（7）：8873-8889.
10	Malkin S， Guo C S.Grinding technology：theory and applications of machining with abrasives［M］.2nd ed.New York：Industrial Press，2008.
11	杨军，李志鹏，李伟，等.基于不同单颗磨粒模型的微细磨削力研究［J］.湖南大学学报（自然科学版），2018，45（8）：54-62.
	Yang Jun， Li Zhi‑peng， Li Wei，et al.Study on micro‑grinding force based on different single abrasive particle models［J］.Journal of Hunan University （Natural Sciences），2018，45（8）：54-62.
12	Ma L J， Gong Y D， Chen X H.Study on surface roughness model and surface forming mechanism of ceramics in quick point grinding［J］.International Journal of Machine Tools and Manufacture，2014，77（2）：82-92.
13	Wang D X， Ge P Q， Bi W B，et al.Grain trajectory and grain workpiece contact analyses for modeling of grinding force and energy partition ［J］.International Journal of Advanced Manufacturing Technology，2014，70（9）：2111-2123.
14	Kumar V C， Hutchings I M.Reduction of the sliding friction of metals by the application of longitudinal or transverse ultrasonic vibration［J］.Tribology International，2004，37（10）：833-840.
15	郎献军，何玉辉，唐进元，等.基于磨粒突出高度为瑞利分布的磨削力模型［J］.中南大学学报（自然科学版），2014，45（10）：3386-3391.
	Lang Xian‑jun， He Yu‑hui， Tang Jin‑yuan，et al.Grinding force model based on prominent height of abrasive submitted to Rayleigh distribution［J］.Journal of Central South University （Science and Technology），2014，45（10）：3386-3391.
16	孙立业，李红双，韩廷水，等.端面平磨氧化铝陶瓷磨削力影响因素实验研究［J］.中国工程机械学报，2022，20（2）：161-166.
	Sun Li‑ye， Li Hong‑shuang， Han Ting‑shui，et al.Experimental study on influencing factors of grinding force of end face grinding alumina ceramics［J］.Chinese Journal of Construction Machinery，2022，20（2）：161-166.

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