Abstract
Induced by flexibility of the industrial robot, cutting tool or the workpiece, chatter in robotic machining process has detrimental effects on the surface quality, tool life and machining productivity. Consequently, accurate detection and timely suppression for such undesirable vibration is desperately needed to achieve high performance robotic machining. This paper presents a novel approach combining the notch filter and local maximum synchrosqueezing transform for the timely chatter identification in robotic drilling. The proposed approach is accomplished through the following steps. In the first step, the optimal matrix notch filter is designed to eliminate the interference of the spindle frequency and corresponding harmonic components to the measured acceleration signal. Subsequently, the high-resolution time–frequency information of the non-stationary filtered acceleration signal is acquired by employing local maximum synchrosqueezing transform (LMSST). On this basis, the filtered acceleration signal is divided into a finite number of equal-width frequency bands, and the corresponding sub-signal for each frequency band is obtained by summing the corresponding coefficient of the LMSST. Finally, to accurately depict the non-uniformity of energy distribution during the chatter incubation process, the statistical energy entropy is calculated and utilized as the indicator to detect chatter online. The effectiveness of the proposed approach is validated by a large number of robot drilling experiments with different cutting tools, workpiece materials and machining parameters. The results show that the presented local maximum synchrosqueezing-based approach can effectively recognize the chatter at an early stage during its incubation and development process.
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References
Altintas, Y., Stepan, G., Merdol, D., & Dombovari, Z. (2008). Chatter stability of milling in frequency and discrete time domain. CIRP Journal of Manufacturing Science and Technology,1(1), 35–44.
Aslan, D., & Altintas, Y. (2018). On-line chatter detection in milling using drive motor current commands extracted from CNC. International Journal of Machine Tools and Manufacture,132, 64–80.
Bi, S., & Liang, J. (2011). Robotic drilling system for titanium structures. International Journal of Advanced Manufacturing Technology,54, 767–774.
Bu, Y., Liao, W. H., Tian, W., Zhang, L., & Li, D. W. (2017). Modeling and experimental investigation of Cartesian compliance characterization for drilling robot. International Journal of Advanced Manufacturing Technology,91(9–12), 3253–3264.
Cao, H., Yue, Y., Chen, X., & Zhang, X. (2017). Chatter detection in milling process based on synchro squeezing transform of sound signals. International Journal of Advanced Manufacturing Technology,89(9–12), 2747–2755.
Chen, Y., & Dong, F. (2013). Robot machining: Recent development and future research issues. International Journal of Advanced Manufacturing Technology,66(9–12), 1489–1497.
Cordes, M., Hintze, W., & Altintas, Y. (2019). Chatter stability in robotic milling. Robotics and Computer-Integrated Manufacturing,55, 11–18.
Frommknecht, A., Kuehnle, J., Effenberger, I., & Pidan, S. (2017). Multi-sensor measurement system for robotic drilling. Robotics and Computer-Integrated Manufacturing,47, 4–10.
Fu, Y., Zhang, Y., Gao, H., Mao, T., Zhou, H., Sun, R., et al. (2019). Automatic feature constructing from vibration signals for machining state monitoring. Journal of Intelligent Manufacturing,30(3), 995–1008.
Fu, Y., Zhang, Y., Zhou, H., Li, D., Liu, H., Qiao, H., et al. (2016). Timely online chatter detection in end milling process. Mechanical Systems and Signal Processing,75, 668–688.
Han, D., & Zhang, X. H. (2010). Optimal matrix filter design with application to filtering short data records. IEEE Signal Processing Letters,17(5), 521–524.
Huang, P., Li, J., Sun, J., & Zhou, J. (2013). Vibration analysis in milling titanium alloy based on signal processing of cutting force. International Journal of Advanced Manufacturing Technology,64(5–8), 613–621.
Iglesias, I., Sebastián, M. A., & Ares, J. E. (2015). Overview of the state of robotic machining: Current situation and future potential. Procedia Engineering,132, 911–917.
Insperger, T., & Stepan, G. (2004). Updated semi-discretization method for periodic delay-differential equations with discrete delay. International Journal for Numerical Methods in Biomedical Engineering,61(1), 117–141.
Ji, Y., Wang, X., Liu, Z., Wang, H., Jiao, L., Wang, D., et al. (2018). Early milling chatter identification by improved empirical mode decomposition and multi-indicator synthetic evaluation. Journal of Sound and Vibration,433, 138–159.
Ji, Y., Wang, X., Liu, Z., Yan, Z., Jiao, L., Wang, D., et al. (2017). EEMD-based online milling chatter detection by fractal dimension and power spectral entropy. International Journal of Advanced Manufacturing Technology,92(1–4), 1185–1200.
Kuljanic, E., Totis, G., & Sortino, M. (2009). Development of an intelligent multisensor chatter detection system in milling. Mechanical Systems and Signal Processing,23(5), 1704–1718.
Lamraoui, M., Thomas, M., & El Badaoui, M. (2014a). Cyclostationarity approach for monitoring chatter and tool wear in high speed milling. Mechanical Systems and Signal Processing,44(1–2), 177–198.
Lamraoui, M., Thomas, M., El Badaoui, M., & Girardin, F. (2014b). Indicators for monitoring chatter in milling based on instantaneous angular speeds. Mechanical Systems and Signal Processing,44(1–2), 72–85.
Li, Z. Q., & Liu, Q. (2008). Solution and analysis of chatter stability for end milling in the time-domain. Chinese Journal of Aeronautics,21, 169–178.
Lin, Y., Zhao, H., & Ding, H. (2017). Posture optimization methodology of 6R industrial robots for machining using performance evaluation indexes. Robotics and Computer-Integrated Manufacturing,48, 59–72.
Liu, H., Chen, Q., Li, B., Mao, X., Mao, K., & Peng, F. (2011). On-line chatter detection using servo motor current signal in turning. Science China Technological Sciences,54(12), 3119–3129.
Liu, Y., Wang, X., Lin, J., & Zhao, W. (2016). Early chatter detection in gear grinding process using servo feed motor current. International Journal of Advanced Manufacturing Technology,83(9–12), 1801–1810.
Liu, C., Zhu, L., & Ni, C. (2017). The chatter identification in end milling based on combining EMD and WPD. International Journal of Advanced Manufacturing Technology,91(9–12), 3339–3348.
Liu, C., Zhu, L., & Ni, C. (2018). Chatter detection in milling process based on VMD and energy entropy. Mechanical Systems and Signal Processing,105, 169–182.
Lu, K., Jing, M., Zhang, X., Dong, G., & Liu, H. (2015). An effective optimization algorithm for multipass turning of flexible workpieces. Journal of Intelligent Manufacturing,26, 831–840.
Mei, B., Zhu, W., Yuan, K., & Ke, Y. (2015). Robot base frame calibration with a 2D vision system for mobile robotic drilling. International Journal of Advanced Manufacturing Technology,80(9–12), 1903–1917.
Mousavi, S., Gagnol, V., Bouzgarrou, B. C., & Ray, P. (2017). Dynamic modeling and stability prediction in robotic machining. International Journal of Advanced Manufacturing Technology,88(9–12), 3053–3065.
Munoa, J., Beudaert, X., Dombovari, Z., Altintas, Y., Budak, E., Brecher, C., et al. (2016). Chatter suppression techniques in metal cutting. CIRP Annals—Manufacturing Technology,65(2), 785–808.
Piskorowski, J. (2010). Digital q-varying notch IIR filter with transient suppression. IEEE Transactions on Instrumentation and Measurement,59(4), 866–872.
Piskorowski, J. (2012). Suppressing harmonic powerline interference using multiple-notch filtering methods with improved transient behavior. Measurement,45(6), 1350–1361.
Pour, M., & Torabizadeh, M. A. (2016). Improved prediction of stability lobes in milling process using time series analysis. Journal of Intelligent Manufacturing,27(3), 665–677.
Qin, C. J., Tao, J. F., Li, L., & Liu, C. L. (2017a). An Adams-Moulton-based method for stability prediction of milling processes. International Journal of Advanced Manufacturing Technology,89(9–12), 3049–3058.
Qin, C. J., Tao, J. F., & Liu, C. L. (2017b). Stability analysis for milling operations using an Adams-Simpson-based method. International Journal of Advanced Manufacturing Technology,92(1–4), 969–979.
Qin, C. J., Tao, J. F., & Liu, C. L. (2018). A predictor-corrector-based holistic-discretization method for accurate and efficient milling stability analysis. International Journal of Advanced Manufacturing Technology,96(5–8), 2043–2054.
Qin, C. J., Tao, J. F., & Liu, C. L. (2019). A novel stability prediction method for milling operations using the holistic-interpolation scheme. Proceedings—IMechE Part C, Journal of Mechanical Engineering Science,233(13), 4463–4475.
Somkiat, T. (2011). Advanced in detection system to improve the stability and capability of CNC turning process. Journal of Intelligent Manufacturing,22, 843–852.
Sun, Y. X., & Xiong, Z. H. (2016). An optimal weighted wavelet packet entropy method with application to real-time chatter detection. IEEE-ASME Transactions on Mechatronics,21(4), 2004–2014.
Tangjitsitcharoen, S., Saksri, T., & Ratanakuakangwan, S. (2015). Advance in chatter detection in ball end milling process by utilizing wavelet transform. Journal of Intelligent Manufacturing,26(3), 485–499.
Tao, J. F., Qin, C. J., & Liu, C. L. (2019a). A synchroextracting-based method for early chatter identification of robotic drilling process. International Journal of Advanced Manufacturing Technology,100(1–4), 273–285.
Tao, J., Qin, C., Xiao, D., Shi, H., & Liu, C. (2019b). A pre-generated matrix-based method for real-time robotic drilling chatter monitoring. Chinese Journal of Aeronautics. https://doi.org/10.1016/j.cja.2019.09.001.
Thaler, T., Potočnik, P., Bric, I., & Govekar, E. (2014). Chatter detection in band sawing based on discriminant analysis of sound features. Applied Acoustics,77, 114–121.
Tong, X., Liu, Q., Pi, S., & Xiao, Y. (2019). Real-time machining data application and service based on IMT digital twin. Journal of Intelligent Manufacturing. https://doi.org/10.1007/s10845-019-01500-0.
Tseng, C. C., & Pei, S. C. (2001). Stable IIR notch filter design with optimal pole placement. IEEE Transactions on Signal Processing,49(11), 2673–2681.
Vaccaro, R. J., & Harrison, B. F. (1996). Optimal matrix-filter design. IEEE Transactions on Signal Processing,44(3), 705–709.
Wan, S., Li, X., Chen, W., & Hong, J. (2018). Investigation on milling chatter identification at early stage with variance ratio and Hilbert-Huang transform. International Journal of Advanced Manufacturing Technology,95, 3563–3573.
Wang, G., Dong, H., Guo, Y., & Ke, Y. (2017). Chatter mechanism and stability analysis of robotic boring. International Journal of Advanced Manufacturing Technology,91, 411–421.
Wang, G., Dong, H., Guo, Y., & Ke, Y. (2018). Early chatter identification of robotic boring process using measured force of dynamometer. International Journal of Advanced Manufacturing Technology,94(1–4), 1243–1252.
Yang, K., Wang, G., Dong, Y., Zhang, Q., & Sang, L. (2019). Early chatter identification based on an optimized variational mode decomposition. Mechanical Systems and Signal Processing,115, 238–254.
Ye, J., Feng, P., Xu, C., Ma, Y., & Huang, S. (2018). A novel approach for chatter online monitoring using coefficient of variation in machining process. International Journal of Advanced Manufacturing Technology,96(1–4), 287–297.
Yu, G., Wang, Z. H., Zhao, P., & Li, Z. (2019). Local maximum synchrosqueezing transform: An energy-concentrated time-frequency analysis tool. Mechanical Systems and Signal Processing,117, 537–552.
Yu, G., Yu, M., & Xu, C. (2017). Synchroextracting transform. IEEE Transactions on Industrial Electronics,64(10), 8042–8054.
Yuan, L., Pan, Z., Ding, D., Sun, S., & Li, W. (2018). A review on chatter in robotic machining process regarding both regenerative and mode coupling mechanism. IEEE-ASME Transactions on Mechatronics,23(5), 2240–2251.
Yuan, L., Sun, S., Pan, Z., Ding, D., Gienke, O., & Li, W. (2019). Mode coupling chatter suppression for robotic machining using semi-active magnetorheological elastomers absorber. Mechanical Systems and Signal Processing,117, 221–237.
Zeng, Y., Tian, W., Li, D., He, X., & Liao, W. (2017). An error-similarity-based robot positional accuracy improvement method for a robotic drilling and riveting system. International Journal of Advanced Manufacturing Technology,88(9–12), 2745–2755.
Zhang, Z., Li, H., Meng, G., Tu, X., & Cheng, C. (2016). Chatter detection in milling process based on the energy entropy of VMD and WPD. International Journal of Machine Tools and Manufacture,108, 106–112.
Acknowledgements
This work was partially supported by the National Key Research and Development Program of China (Grant Nos. 2017YFB1302601 and 2018YFB1306703).
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Tao, J., Qin, C., Xiao, D. et al. Timely chatter identification for robotic drilling using a local maximum synchrosqueezing-based method. J Intell Manuf 31, 1243–1255 (2020). https://doi.org/10.1007/s10845-019-01509-5
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DOI: https://doi.org/10.1007/s10845-019-01509-5