Skip to main content
Log in

A method for detection and quantification of meshing characteristics of harmonic drive gears using computer vision

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

A lack of accurate description of the meshing characteristics and the corresponding frictional mechanism of the harmonic drive gear has limited progress toward modeling the hysteresis stiffness. This paper presents a method for detection and quantification of the meshing characteristics of the harmonic drive gear based on computer vision. First, an experimental set-up that integrates a high speed camera system with a lighting system is developed, and the image processing is adopted to extract and polish the tooth profiles of the meshed teeth pairs in each acquired video sequence. Next, a physical-mathematical model is established to determine the relative positions of the selected tooth pair in the process of the gear engagement, and the combined standard uncertainty is utilized to evaluate the accuracy of the calculated kinematics parameters. Last, the kinematics analysis of the gear engagement under the ultra-low speed condition is performed with our method and previous method, and the influence of the input rotational speed on the results is examined. The results validate the effectiveness of our method, and indicate that the conventional method is not available in the future friction analysis. It is also shown that the engaging-in phase is approximately a uniform motion process, the engaging-out phase is a variable motion process, and these characteristics remain unchanged with the variation of the input rotational speed. Our method affords the ability to understand the frictional mechanism on the meshed contact surfaces of the harmonic drive gear, and also allows for the dynamic monitoring of the meshing properties.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Musser C W. Strain Wave Gearing. U.S. Patent, 2906143, 1959-9-29

  2. Ma D H, Wu J N, Yan S Z. Advances in researches of dynamic models in harmonic drive system (in Chinese). China Sciencepaper, 2015, 10: 1983–1990

    Google Scholar 

  3. Zhao J L, Yan S Z, Wu J N, et al. Thermodynamic analysis of a space station remote manipulator with a harmonic drive that considers an integrated thermal protection layer. Sci China Tech Sci, 2015, 58: 1884–1893

    Article  Google Scholar 

  4. Zhao J L, Wu J N, Yan S Z, et al. Dynamic modeling and motion precision analysis of spacecraft manipulator with harmonic drive considering the alternate thermal field in orbit. P I Mech Eng G-J Aer, 2015, 229: 135–148

    Article  Google Scholar 

  5. Radford N A, Strawser P, Hambuchen K, et al. Valkyrie: NASA’s first bipedal humanoid robot. J Field Robot, 2015, 32: 397–419

    Article  Google Scholar 

  6. Liu G J, Liu Y G, Zhang H W, et al. The kapvik robotic mast: an innovative onboard robotic arm for planetary exploration rovers. IEEE Robot Autom Mag, 2015, 22: 34–44

    Article  Google Scholar 

  7. Shen Y W, Ye Q T. Theory and Design of Harmonic Drive. Beijing: China Machine Press, 1985. 1–81

    Google Scholar 

  8. Ivanov M N. The Harmonic Drive. Beijing: Defense Industry Press, 1987. 1–70

    Google Scholar 

  9. Tuttle T D. Understanding and modeling the behavior of a harmonic drive gear transmission. Dissertation for the Master Degree. Cambridge: Massachusetts Institute of Technology, 1992

    Google Scholar 

  10. Gandhi P S. Modeling and control of nonlinear transmission attributes in harmonic drive systems. Dissertation for the Doctor Degree. Houston: Rice University, 2001

    Google Scholar 

  11. Taghirad H D. Robust torque control of harmonic drive systems. Dissertation for the Doctor Degree. Montreal: McGill University, 1997

    Google Scholar 

  12. Preissner C. A high-fidelity harmonic drive model: experiment, simulation, and application. Dissertation for the Doctor Degree. Chicago: University of Illinois at Chicago, 2009

    Google Scholar 

  13. Dhaouadi R, Ghorbel F H, Gandhi P S. A new dynamic model of hysteresis in harmonic drives. IEEE T Ind Electron, 2003, 50: 1165–1171

    Article  Google Scholar 

  14. Tuttle T D, Seering W P. A nonlinear model of a harmonic drive gear transmission. IEEE T Robotic Autom, 1996, 12: 368–374

    Article  Google Scholar 

  15. Gandhi P S, Ghorbel F H, Dabney J. Modeling, identification, and compensation of friction in harmonic drives. In: Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, 2002. 160–166

    Google Scholar 

  16. Dhaouadi R. Nonlinear friction compensation in harmonic drives with hysteresis. In: Proceedings of the 2003 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Kobe, 2003. 278–283

    Chapter  Google Scholar 

  17. Preissner C, Royston T J, Shu D. A high-fidelity harmonic drive model. J Dyn Syst-T ASME, 2012, 134: 011002–1–011002-13

    Article  Google Scholar 

  18. Tjahjowidodo T, Al-Bender F, Van Brussel H. Theoretical modelling and experimental identification of nonlinear torsional behaviour in harmonic drives. Mechatronics, 2013, 23: 497–504

    Article  Google Scholar 

  19. Taghirad H D, Bélanger P R. Modeling and Parameter Identification of Harmonic Drive Systems. J Dyn Syst-T ASME, 1998, 120: 439–444

    Article  Google Scholar 

  20. Qin K J, Wang E H, Zhao H, et al. Development and experimental validation of a novel hybrid powertrain with dual planetary gear sets for transit bus applications. Sci China Tech Sci, 2015, 58: 2085–2096

    Article  Google Scholar 

  21. Chen X A, Chen H. Analytical geometry method of planetary gear trains. Sci China Tech Sci, 2012, 55: 1007–1021

    Article  Google Scholar 

  22. Chen B K, Fang T T, Li C Y, et al. Gear geometry of cycloid drives. Sci China Ser-E Tech Sci, 2008, 51: 598–610

    Article  MathSciNet  MATH  Google Scholar 

  23. Yang T F, Yan S Z, Ma W, et al. Joint dynamic analysis of space manipulator with planetary gear train transmission. Robotica, 2016, 34: 1042–1058

    Article  Google Scholar 

  24. Dong H M. Study on kinematics and meshing characteristic of harmonic gear drives based on the deformation function of the flexspline. Dissertation for the Doctor Degree. Dalian: Dalian University of Technology, 2008

    Google Scholar 

  25. Dong H M, Wang D L, Ting K L. Kinematic effect of the compliant cup in harmonic drives. J Mech Design, 2011, 133: 051004–1–051004-7

    Article  Google Scholar 

  26. Dong H M, Ting K L, Wang D L. Kinematic fundamentals of planar harmonic drives. J Mech Design, 2011, 133: 011007–1–011007-8

    Article  Google Scholar 

  27. Chen X X, Liu Y S, Xing J Z, et al. The parametric design of double-circular-arc tooth profile and its influence on the functional backlash of harmonic drive. Mech Mach Theory, 2014, 73: 1–24

    Article  Google Scholar 

  28. Routh B, Maiti R, Ray A K, et al. An investigation on secondary force contacts of tooth pairs in conventional harmonic drives with involute toothed gear set. P I Mech Eng C-J Mec, 2016, 230: 622–638

    Article  Google Scholar 

  29. León D, Arzola N, Tovar A. Statistical analysis of the influence of tooth geometry in the performance of a harmonic drive. J Braz Soc Mech Sci, 2015, 37: 723–735

    Article  Google Scholar 

  30. Ma D L, Liu C S, Zhao Z, et al. Rolling friction and energy dissipation in a spinning disc. P Roy Soc A-Math Phy, 2014, 470: 20140191-1–20140191-22

    Article  MathSciNet  Google Scholar 

  31. Zhang H J, Liu C S, Zhao Z, et al. Energy evolution in complex impacts with friction. Sci China-Phys Mech Astron, 2013, 56: 875–881

    Article  Google Scholar 

  32. Xiang W W K, Yan S Z, Wu J N. A comprehensive method for joint wear prediction in planar mechanical systems with clearances considering complex contact conditions. Sci China Tech Sci, 2015, 58: 86–96

    Article  Google Scholar 

  33. Fan Y G, Cao B H. Technical Manual of the Harmonic Drive. Beijing: Defense Industry Press, 1995. 1–21

    Google Scholar 

  34. Luo P F, Chao Y J, Sutton M A, et al. Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision. Exp Mech, 1993, 33: 123–132

    Article  Google Scholar 

  35. Alegria F C, Serra A C. Automatic calibration of analog and digital measuring instruments using computer vision. IEEE Instru Meas Mag, 2000, 49: 94–99

    Article  Google Scholar 

  36. Silveira Jacques J C J, Musse S R, Jung C R. Crowd analysis using computer vision techniques. IEEE Signal Proc Mag, 2010, 27: 66–77

    Google Scholar 

  37. Környei Z, Beke S, Mihálffy T, et al. Cell sorting in a Petri dish controlled by computer vision. Sci Rep, 2013, 3: 1088–1–1088-10

    Google Scholar 

  38. Branson K. Distinguishing seemingly indistinguishable animals with computer vision. Nat Methods, 2014, 11: 721–722

    Article  Google Scholar 

  39. Hong W Z, Kennedy A, Burgos-Artizzu X P. Automated measurement of mouse social behaviors using depth sensing, video tracking, and machine learning. P Natl Acad Sci, 2015, 112: e5351–E5360

    Article  Google Scholar 

  40. Khoygani M R R, Ghasemi R, Vali A R. Intelligent nonlinear observer design for a class of nonlinear discrete-time flexible joint robot. Intel Serv Robot, 2015, 8: 45–56

    Article  Google Scholar 

  41. Zhao J L, Yan S Z, Wu J N. Analysis of parameter sensitivity of space manipulator with harmonic drive based on the revised response surface method. Acta Astronaut, 2014, 98: 86–96

    Article  Google Scholar 

  42. Yang T F, Yan S Z, Han Z Y. Nonlinear model of space manipulator joint considering time-variant stiffness and backlash. J Sound Vib, 2015, 341: 246–259

    Article  Google Scholar 

  43. Cui L, Cupcic U, Dai J S. An optimization approach to teleoperation of the thumb of a humanoid robot hand: kinematic mapping and calibration. J Mech Design, 2014, 136: 091005–1–091005-7

    Article  Google Scholar 

  44. Zhang H W, Ahmad S, Liu G J. Modeling of torsional compliance and hysteresis behaviors in harmonic drives. IEEE-ASME T Mech, 2015, 20: 178–185

    Article  Google Scholar 

  45. Chen X X, Lin S Z, Xing J Z. The investigation of elongation of the neutral line in harmonic drive. In: Proceedings of International Conference on Computer Design and Applications, Qinhuangdao, 2010. 383–386

    Google Scholar 

  46. Sun C Y, Zhang X. Study of teeth lubrication for harmonic gear drive (in Chinese). Lubr Eng, 2001, 2: 12–13

    Google Scholar 

  47. Canny J. A computational approach to edge detection. IEEE T Pattern Anal, 1986, 8: 679–698

    Article  Google Scholar 

  48. Wu S L, Zhang J. Error Analysis and Data Processing. Beijing: Tsinghua University Press, 2010. 55–60, 175–185

    Google Scholar 

  49. Lira I H, Wöger W. The evaluation of standard uncertainty in the presence of limited resolution of indicating devices. Meas Sci Technol, 1997, 8: 441–443

    Article  Google Scholar 

  50. Wackerly D, Mendenhall W, Scheaffer R L. Mathematical Statistics with Applications. 7th ed. Belmont: Thomson Higher Education, 2008. 392–393

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to ShaoZe Yan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, D., Wu, J. & Yan, S. A method for detection and quantification of meshing characteristics of harmonic drive gears using computer vision. Sci. China Technol. Sci. 59, 1305–1319 (2016). https://doi.org/10.1007/s11431-016-6082-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-016-6082-6

Keywords

Navigation