The torsional vibration of RV reducer is the key factor affecting the positioning accuracy and trajectory accuracy of industrial robots. It is of great significance to study the torsional stiffness periodic fluctuation and parametric torsional vibration to improve the torsional vibration performance and transmission accuracy of RV reducer.
Based on the torsional stiffness test device of RV reducer, the torsional stiffness is measured and the torsional stiffness curve with periodic fluctuation is obtained. The trigonometric function fitting and mathematical description of torsional stiffness curve are carried out, and the torsional vibration equation of RV reducer parameters is established. The parametric torsional vibration response of RV reducer is simulated by Runge–Kutta method, and the combined frequency characteristics and system stability are analyzed. The torsional vibration test device of RV reducer is developed to study the torsional stiffness fluctuation and torsional vibration fault.
The torsional stiffness fluctuation of RV reducer can be divided into a short period and long period, corresponding to different manufacturing errors, and the mechanism of torsional stiffness fluctuation is found out. The frequency spectrum of torsional vibration under working condition is highly consistent with the simulated response spectrum, and the harmonic resonance interval obtained by frequency sweeping is close to the peak of the torsional vibration–speed curve, so the correctness of the established torsional vibration model is verified. Using the mechanism of RV reducer stiffness fluctuation to realize rapid diagnosis of defective parts of RV reducer has a strong engineering application value.
The time-varying torsional stiffness of RV reducer will cause the phenomenon of parametric torsional vibration. The vibration response characteristic frequency is a linear combination of internal reference variation frequency and external excitation frequency. The parametric torsional vibration will cause the harmonic resonance of RV reducer and aggravate the torsional vibration. Therefore, it is of great engineering value to study the time-varying torsional stiffness and torsional vibration of RV reducer.
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Wang T, Tao Y (2014) Research status and industrialization development strategy of chinese industrial robot. Chin J Mech Eng 50(9):1–13
Choi H-S, Oh J (2005) A new revolute robot manipulator adapting the closed-chain mechanism. J Robot Syst 22(2):99–109
Wang J, Gu J, Yan Y (2016) Study on the relationship between the stiffness of RV reducer and the profile modification method of cycloid-pin wheel. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 9834, 721–735
Li L, He W, Wang X et al (1999) Research on high precision RV transmission of robot. China Mech Eng 09:49–50
Liu J, Sun T, Qi H (1999) Dynamic model and natural frequency study of RV reducer. China Mech Eng 04:29–31 (+34)
He W, Lu Y, Wu X (2013) Torsional stiffness calculation of RV reducer based on equivalent model. Mech Transm (in Chinese) 37(09):38–41
Zhang D, Wang G, Huang T, Liu J (2001) Kinetic modeling and structural parameter analysis of RV reducer. Chin J Mech Eng 37(01):69–74
Park JS (2006) Stiffness and error analysis of the cycloid drive. College of Engineering, Seoul National University, Korea
Kim Kyoung-Hong, Lee Chun-Se, Ahn Hyeong-Joon (2010) Torsional rigidity of a cycloid drive considering finite bearing and hertz contact stiffness. Proceedings of the ASME international design engineering technical conferences and computers and information in engineering conference 2009, DETC2009,vol 6, pp 125–130
Yang Y, Zhu L, Chen Z et al (2015) Analysis of torsional stiffness characteristics of RV reducer. J Tianjin Univ (Natural Science and Engineering Technology Edition) 48(02):111–118
Huang D (2015) Forced response approach of a parametric vibration with a trigonometric series. Mech Syst Signal Process 52–53:495–505
Huang D, Liu C, Zhang B (2019) Free response approximation of a 2-DOF parametric vibration system. J Vib Shock 38(13):13–20
Wang J, Li R (1998) The theoretical system for the dynamics of the gear system. China Mech Eng 12:61–64 (+6)
Li Y, Ding K, He G et al (2018) Mechanism of side band modulation in vibration response signal of gear system. Chin J Mech Eng 54(05):105–112
Liu Y, Chen L (2001) Nonlinear vibration. Higher Education Press, Beijing, pp 152–178
Gu J et al (2019) Manufacturing quality assurance for a rotate vector reducer with vibration technology. J Mech Sci Technol 33(5):1995–2001
Malla C, Panigrahi I (2019) Review of condition monitoring of rolling element bearing using vibration analysis and other techniques. J Vib Eng Technol 7:407–414
The authors would like to acknowledge the support of the Chinese National Natural Science Foundation (51575330) and the support and cooperation of Nantong Zhen Kang Welding Electromachinery Co. Ltd.
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Wang, S., Tan, J., Gu, J. et al. Study on Torsional Vibration of RV Reducer Based on Time-Varying Stiffness. J. Vib. Eng. Technol. (2020). https://doi.org/10.1007/s42417-020-00211-8
- RV reducer
- Time-varying torsional stiffness
- Parametric torsional vibration
- Vibration spectrum
- Property of torsional vibration–speed