Design of a cup horn and its vibration characteristics analysis
CHEN Huizi1,ZHAO Bo1,ZHAO Jinzhui1,2,GAO Guofu1
1.School of Mechanical and Power Engineering,Henan Polytechnic University,Jiaozuo 454000，China;
2.Zhengzhou Research Institute for Abrasives & Grinding Co.,Ltd.,Zhengzhou 450007,China
Abstract：Aiming at problems of poor machining precision,low efficiency,and high processing cost in curve surface processing of hard and brittle materials,a kind of ultrasonic cup horn suitable for high precision machining of curve surfaces of hard and brittle materials was designed by combining the theoretical analysis and the finite element method.Afterwards,the impedance characteristic analysis and the vibration performance tests of the designed cup horn were performed.The results showed that the structure of the horn is reasonable and its vibration effect is good.Finally,through the finite element calculation and tests comparative analysis,the influences of wall height,bottom thickness,and inner diameter of the cup shaped head on the cup horn resonant frequencies were studied.The results showed that the resonance frequencies of the horn increase with increase in bottom thickness and decrease with increase in wall height,and inner diameter of the cup shaped head; the test results and the simulation analysis ones agree well each other.
陈汇资1,赵波1?，赵金坠1，2，高国富1. 杯形工具复合变幅杆设计及振动特性分析[J]. 振动与冲击, 2017, 36(9): 159-165.
CHEN Huizi1,ZHAO Bo1,ZHAO Jinzhui1,2,GAO Guofu1. Design of a cup horn and its vibration characteristics analysis. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(9): 159-165.
[1] 周志雄,周秦源,任莹晖.复杂曲面加工技术的研究现状与发展趋势[J].机械工程学报,2010,46(17):105-113.
ZHOU Zhi-xiong,ZHOU Qin-yuan,REN Ying-hui.Current research and development trends of complex surface machining technology[J].Journal of Mechanical Engineering, 2010, 46(17):105-113.
[2] 任力强.大口径光学曲面精密加工系统研制[D].北京:北京理工大学,2008.
REN Li-qiang. Developed of large-caliber optical surface in precision machining system[D].Beijing:BEIJING INSTiTUTE OF TECHNOLY,2008.
[3] 曹凤国.超声加工[M].北京:化学工业出版社,2014.
CAO Feng-guo.Ultrasonic machining[M].Beijing:Chemical industry press,2014.
[4] 赵升吨,李泳峄,范淑琴.超声振动塑性加工技术的现状分[J].中国机械工程,2013,24(6):835-840.
ZHAO Sheng-dun, LI Yong-yi, FAN Shu-qin. Status analysis of plastic processing technologry with ultrasonic vibration [J].China Mechanical Engineering, 2013, 24(6):835-840.
[5] LIMFCN. A Preliminary Investigation into Optimizing the Response of Vibrating Systems Used for Ultrasonic Cutting[J]. Journal of Sound and Vibration, 2004(272):1047-1069.
[6] YAG. Analysis of the Rotary Ultrasonic Machining Mechanism[J]. Journal of Material Processing Technology, 2002(129):182-185.
[7] Mohammad M A Z, Mohammad R R, Amir A. Investigation of the effect of cutting speed and vibration amplitude on cutting forces in ultrasonic-assisted milling[J]. Journal of Engineering Manufacture, 2012, 226(7):1185-1191.
[8] 许龙,林书玉. 模式转换型超声塑焊振动系统的设计[J]. 声学学报,2010,35(6):683-693.
XU Long,LIN Shu-yu. Design of ultrasonic vibration system with vibration mode-conversion for ultrasonic plastics welding[J]. ACTA ACUSTICA，2010,35（6）：683-693.
[9] 皮钧,纪跃波. 纵波回形变幅杆的研究[J]. 振动、测试与诊断，2010,30(1):65-69.
PI Jun,JI Yue-bo. Study on Longitudinal Vibration of a Folded Acoustic Horn[J].Journal of Vibration,Measurement &Diagnosis, 2010,30(1):65-69.
[10] 徐芝纶.弹性力学(下册) [M]. 北京: 人民教育出版社，1982.
XU Zhi-lun. Elastic mechanics (part ii)[M].Beijing:PEOPLE’S OF EDUCATION PRESS,1982.
[11] 张小丽,林书玉,付志强,等.弯曲振动薄圆盘的共振频率和等效电路参数研究[J].物理学报,2013,62(3):1-6.
ZHANG Xiao-li，LIN Shu-yu，FU Zhi-qiang,et al.Study on resonance frequency and equivalent circuit parameters of a thin disk in flexural vibration[J].Acta Physical Sinica,2013,62(3):1-6.
[12] 马奶连，贺西平.弯曲振动薄圆盘的最佳尺寸设计[J].云南大学学报:自然科学版，2014,36(3):366-370.
MA Nai-lian,HE Xi-ping. The best dimension design of flexural vibration thin circular plate[J]. Journal of Yunnan University: 2014,36(3):366-370.
[13] Shuyu Lin.Coupled vibration of isotropic metal hollow cylinders with large geometrical dimensions[J]. Journal of sound and vibration, 2007,305(1):308-316.
