Design and experimental investigation on longitudinal-torsional composite horn considering the incident angle of ultrasonic wave

  • Bo Zhao
  • Wenbo BieEmail author
  • Xiaobo Wang
  • Fan Chen
  • Baoqi Chang


The composite vibration mode type of ultrasonic horn has been widely employed in ultrasonic vibration drilling. In order to explore the effect of the incident angle of the ultrasonic wave on longitudinal-torsional composite (LTC) horn, the reason for the mode-conversion and the vibrational characteristics of such horn firstly were analyzed on the basis of elastic wave-field theory. Then, a 3D model was developed with helical slots with different angle set in the conical section of the composite horn, and the vibration modal of the output end face of the horn was analyzed using the finite element analysis (FEA) method. It was found that the incident angle of ultrasonic wave exhibited a significant influence on the vibration modal at the output end face of the horn. The torsional vibration and the longitudinal vibration were changed significantly at the output end face of the horn when the incident angle was 47.6° and 67.2°, and the measured amplitude ratio of the torsional vibration to the longitudinal vibration in the former was improved by 4.9 times than that in the latter. Simultaneously, in both cases, the error of resonant frequency between the measurement and the simulation value reached 1.9% and 1.3%, respectively. It was observed from the ultrasonic vibration drilling test that the higher the amplitude ratio of the torsional vibration to the longitudinal vibration (AT/AL), the more the average drilling force was reduced and the better machined quality could be obtained. The results of this study should be well considered for further reference when designing longitudinal-torsional composite horn with different materials in ultrasonic vibration drilling.


Longitudinal-torsional composite horn Incident angle Amplitude ratio Finite element analysis Ultrasonic vibration drilling 


Funding information

The authors gratefully acknowledge the support of the National Natural Science Foundation of China (Grant Nos. U1604255, 51475148).


  1. 1.
    Kumar J (2013) Ultrasonic machining-a comprehensive review. Mach Sci Technol 17(3):325–379CrossRefGoogle Scholar
  2. 2.
    Kumabe J (1985) The foundation and application of precision vibration cutting. Machinery Industry Press, BeijingGoogle Scholar
  3. 3.
    Abdullah A, Farhadi A, Pak A (2012) Ultrasonic-assisted dry creep-feed up-grinding of super alloy inconel 738LC. Exp Mech 52(7):843–853CrossRefGoogle Scholar
  4. 4.
    Oliveira JFG, Silva EJ, Guo C (2009) Industrial challenges in grinding. CIRP Ann Manuf Technol 58(2):663–680CrossRefGoogle Scholar
  5. 5.
    Tong J, Wei G, Zhao L, Wang XL, Ma JJ (2019) Surface microstructure of titanium alloy thin-walled parts at ultrasonic vibration-assisted milling. Int J Adv Manuf Technol 101(1-4):1007–1021CrossRefGoogle Scholar
  6. 6.
    Chen H, Zhou W, Tang J (2013) An experimental study of the effects of ultrasonic vibration on grinding surface roughness of C45 carbon steel. Int J Adv Manuf Technol 68(9-12):2095–2098CrossRefGoogle Scholar
  7. 7.
    Nad M, Kolíková L, Rolník L, Duriš R (2019) Investigation of vibration effects and tool shape on edge chipping phenomenon occurring during rotary ultrasonic drilling. J Sound Vib 439:251–259CrossRefGoogle Scholar
  8. 8.
    Kitzig-Frank H, Tawakoli T, Azarhoushang B (2017) Material removal mechanism in ultrasonic-assisted grinding of Al2O3 by single-grain scratch test. Int J Adv Manuf Technol 91:2949–2962CrossRefGoogle Scholar
  9. 9.
    Niu Y, Jiao F, Zhao B, Wang D (2017) Multiobjective optimization of processing parameters in longitudinal-torsion ultrasonic assisted milling of Ti-6Al-4V. Int J Adv Manuf Technol 93(9-12):1–12CrossRefGoogle Scholar
  10. 10.
    Yang C, Shan X, Xie T (2016) Titanium wire drawing with longitudinal-torsional composite ultrasonic vibration[J]. Int J Adv Manuf Technol 83(1-4):645–655CrossRefGoogle Scholar
  11. 11.
    Lin S (2006) Study on the Langevin piezoelectric ceramic ultrasonic transducer of longitudinal-flexural composite vibrational mode. Ultrasonics 44(1):109–114CrossRefGoogle Scholar
  12. 12.
    Zhou G, Zhang Y, Zhang B (2002) The complex-mode vibration of ultrasonic vibration systems. Ultrasonics 40(1):907–911CrossRefGoogle Scholar
  13. 13.
    Qian XH, Shen MH (2012) A new standing-wave linear moving ultrasonic motor based on two bending modes. Appl Mech Mater 101-102:140–143CrossRefGoogle Scholar
  14. 14.
    Wang J, Guo J (2009) Development of a radial-torsional vibration hybrid type ultrasonic motor with a hollow and short cylindrical structure. IEEE Trans Ultrason Ferroelectr Freq Control 56(5):1054–1058CrossRefGoogle Scholar
  15. 15.
    Xiang DH, Wu BF, Yao YL, Liu ZY, Feng HR (2019) Ultrasonic longitudinal-torsional vibration-assisted cutting of Nomex® honeycomb-core composites. Int J Adv Manuf Technol 100(5-8):1521–1530CrossRefGoogle Scholar
  16. 16.
    Ma CX, Shamoto E, Moriwaki T, Wang LJ (2004) Study of machining accuracy in ultrasonic elliptical vibration cutting. Int J Mach Tools Manuf 44(12-13):1305–1310CrossRefGoogle Scholar
  17. 17.
    Paktinat H, Amini S (2018) Numerical and experimental studies of longitudinal and longitudinal-torsional vibrations in drilling of AISI 1045. Int J Adv Manuf Technol 94:2577–2592CrossRefGoogle Scholar
  18. 18.
    Asami T, Miura H (2015) Study of ultrasonic machining by longitudinal-torsional vibration for processing brittle materials-observation of machining marks. Phys Procedia 70:118–121CrossRefGoogle Scholar
  19. 19.
    Wang J, Zhang J, Feng P, Guo P (2018) Damage formation and suppression in rotary ultrasonic machining of hard and brittle materials: a critical review. Ceram Int 44(2):1227–1239CrossRefGoogle Scholar
  20. 20.
    Feng PF, Wang JJ, Zhang JF, Wu ZJ (2017) Research status and future prospects of rotary ultrasonic machining of hard and brittle materials. J Mech Eng 53(19):3–21CrossRefGoogle Scholar
  21. 21.
    Yang L, Zhao CS (2012) Stress-type hybrid ultrasonic motors using longitudinal and torsional vibration modes with large torque. J Vib Meas Diagn 32(S1):126–131Google Scholar
  22. 22.
    Tang J, Zhao B (2015) A new longitudinal-torsional composite ultrasonic milling system with a single excitation. J Vib Shock 34(6):57–61Google Scholar
  23. 23.
    Asami T, Miura H (2011) Vibrator development for hole machining by ultrasonic longitudinal and torsional vibration. Jpn J Appl Phys 50(7):07HE31CrossRefGoogle Scholar
  24. 24.
    Karafi MR, Hojjat Y, Sassani F (2013) A new hybrid longitudinal-torsional magnetostrictive ultrasonic transducer. Smart Mater Struct 22(6):065013CrossRefGoogle Scholar
  25. 25.
    Zhao B, Yin S, Wang XB, Zhao CY (2019) Vibration analysis of ultrasonic longitudinal-torsional composite hollow horn. Chin J Mech Eng 55(5):121–129CrossRefGoogle Scholar
  26. 26.
    Pi J (2008) Longitudinal-torsional vibration converter of cylinder with multiple diagonal slits. Chin J Mech Eng 44(5):242–248MathSciNetCrossRefGoogle Scholar
  27. 27.
    Al-Budairi H, Lucas M, Harkness P (2013) A design approach for longitudinal–torsional ultrasonic transducers. Sensors Actuators A Phys 198:99–106CrossRefGoogle Scholar
  28. 28.
    Amini S, Soleimani M, Paktinat H, Lotfi M (2017) Effect of longitudinal-torsional vibration in ultrasonic-assisted drilling. Mater Manuf Process 32(6):616–622CrossRefGoogle Scholar
  29. 29.
    Wang J, Zhang J, Feng P, Guo P, Zhang QL (2018) Feasibility study of longitudinal–torsional-coupled rotary ultrasonic machining of brittle material. J Manuf Sci Eng 140(5):051008CrossRefGoogle Scholar
  30. 30.
    Zhang BJ (2010) A concise course on elastodynamics. Science Press, BeijingGoogle Scholar
  31. 31.
    Liu XW (2010) Fundamentals of elastic wave field-theory. China Ocean University Press, QingdaoGoogle Scholar
  32. 32.
    Yin S (2018) Design and experimental research of the composite longitudinal-torsional ultrasonic milling system. Henan Polytechnic University, JiaozuoGoogle Scholar
  33. 33.
    Lin ZM (1987) Principle and design of ultrasonic horn. Science Press, BeijingGoogle Scholar
  34. 34.
    Cao FG (2014) Ultrasonic machining. Chemical Industry Press, BeijingGoogle Scholar
  35. 35.
    Han J (2012) Research on acoustic system of ultrasonic deep rolling with longitudinal-torsional vibration. Henan Polytechnic University, JiaozuoGoogle Scholar
  36. 36.
    Wang J, Feng P, Zhang J (2016) Experimental investigation on the effects of thermomechanical load on the vibrational stability during rotary ultrasonic machining. Mach Sci Technol 21(2):239–256CrossRefGoogle Scholar
  37. 37.
    Feng P, Wang J, Zhang J, Zheng J (2017) Drilling induced tearing defects in rotary ultrasonic machining of C/SiC composites. Ceram Int 43:791–799CrossRefGoogle Scholar
  38. 38.
    Wang MH, Jiang QJ, Wang B (2016) Mechanism of reduction of damage during ultrasonic torsional vibration milling of C/SiC composites. Mod Manuf Eng 3:103–109Google Scholar
  39. 39.
    Gu LZ, Long ZM, Wang D, Ding HJ (2004) The stress wave propagation and crack formation in vibratory metal cutting process. Key Eng Mater 259-260:456–461CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • Bo Zhao
    • 1
  • Wenbo Bie
    • 1
    Email author
  • Xiaobo Wang
    • 1
  • Fan Chen
    • 2
  • Baoqi Chang
    • 1
  1. 1.School of Mechanical and Power EngineeringHenan Polytechnic UniversityJiaozuoChina
  2. 2.School of Electrical and Mechanical EngineeringPingdingshan UniversityPingdingshanChina

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