Abstract
Industrial robots play an important role in the milling of large complex parts. However, the robot is less rigid and prone to vibration-related problems; chatter, which affects machining quality and efficiency, is more complex and difficult to monitor. In this paper, a variational mode decomposition-support vector machine (VMD-SVM) model based on information entropy (IE) is built to detect chatter in robotic milling. Significantly, the vibration signals are classified into four states for the first time: stable, transition, regular chatter, and irregular chatter. To improve the accuracy of the identification model based on VMD-SVM, a novel hyper-parameter optimization strategy—the kMap method—is proposed in this paper for optimizing three-dimensional hyper-parameters in the VMD-SVM model. The hyper-parameters of VMD-SVM are jointly optimized by the kMap method, with constant step sizes. As an improved grid search (GS), kMap reduces the operation time to the same order of magnitude as the heuristic algorithm (HA) [comprising particle swarm optimization (PSO) and genetic algorithm (GA)]. The VMD-SVM model with the hyper-parameters optimized by kMap exhibits higher accuracy and better stability than the hyper-parameters optimized by PSO and GA. The results of the validation experiments show that the kMap-optimized identification model is effective in industrial robotic milling.
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Abdoos, A. A., Mianaei, P. K., & Ghadikolaei, M. R. (2016). Combined VMD-SVM based feature selection method for classification of power quality events. Applied Soft Computing, 38, 637–646.
Aneesh, C., Kumar, S., Hisham, P. M., & Soman, K. P. (2015). Performance comparison of variational mode decomposition over empirical wavelet transform for the classification of power quality disturbances using support vector machine. Procedia Computer Science, 46, 372–380.
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.
Chen, Y., Li, H., Hou, L., Bu, X., Ye, S., & Chen, D. (2020). Chatter detection for milling using novel p-leader multifractal features. Journal of Intelligent Manufacturing. https://doi.org/10.1007/s10845-020-01651-5.
Dragomiretskiy, K., & Zosso, D. (2013). Variational mode decomposition. IEEE Transactions on Signal Processing, 62(3), 531–544.
Dutta, T., Satija, U., Ramkumar, B., & Manikandan, M.S. (2016). A novel method for automatic modulation classification under non-Gaussian noise based on variational mode decomposition. In: 2016 twenty second national conference on communication (NCC) (pp. 1–6).
Friedrich, J., Hinze, C., Renner, A., Verl, A., & Lechler, A. (2017). Estimation of stability lobe diagrams in milling with continuous learning algorithms. Robotics and Computer-Integrated Manufacturing, 43, 124–134.
Fu, W., Tan, J., Xu, Y., Wang, K., & Chen, T. (2019a). Fault diagnosis for rolling bearings based on fine-sorted dispersion entropy and SVM optimized with mutation SCA-PSO. Entropy, 21(4), 1–23.
Fu, W., Wang, K., Li, C., Li, X., Li, Y., & Zhong, H. (2018). Vibration trend measurement for a hydropower generator based on optimal variational mode decomposition and an LSSVM improved with chaotic sine cosine algorithm optimization. Measurement Science and Technology, 30(1), 1–15.
Fu, Y., Zhang, Y., Gao, H., Mao, T., Zhou, H., Sun, R., & Li, D. (2019b). Automatic feature constructing from vibration signals for machining state monitoring. Journal of Intelligent Manufacturing, 30(3), 995–1008.
Gienke, O., Pan, Z., Yuan, L., Lepper, T., & Van Duin, S. (2019). Mode coupling chatter prediction and avoidance in robotic machining process. International Journal of Advanced Manufacturing Technology, 104(5–8), 2103–2116.
Holland, J. H. (1973). Genetic algorithms and the optimal allocation of trials. SIAM Journal on Computing, 2(2), 88–105. https://doi.org/10.1137/0202009.
Kennedy, J., & Eberhart, R. C. (1995). Particle swarm optimization. Proceedings of IEEE International Conference on Neural Networks, 4, 1942–1948.
Lei, N., & Soshi, M. (2017). Vision-based system for chatter identification and process optimization in high-speed milling. International Journal of Advanced Manufacturing Technology, 89(9–12), 2757–2769.
Liu, J., Wu, B., Wang, Y., & Hu, Y. (2017). An integrated condition-monitoring method for a milling process using reduced decomposition features. Measurement Science and Technology, 28(8), 1–13.
Lv, Z., Tang, B., Zhou, Y., & Zhou, C. (2016). A novel method for mechanical fault diagnosis based on variational mode decomposition and multikernel support vector machine. Shock and Vibration, 2016, 1–11.
Musselman, M., Xie, H., & Djurdjanovic, D. (2019). Nonstationary signal analysis and support vector machine based classification for vibration based characterization and monitoring of slit valves in semiconductor manufacturing. Journal of Intelligent Manufacturing, 30(3), 1099–1110.
Nannapaneni, S., Mahadevan, S., Dubey, A., & Lee, Y. T. (2020). Online monitoring and control of a cyber-physical manufacturing process under uncertainty. Journal of Intelligent Manufacturing. https://doi.org/10.1007/s10845-020-01609-7.
Pan, Z., Zhang, H., Zhu, Z., & Wang, J. (2006). Chatter analysis of robotic machining process. Journal of Materials Processing Technology, 173(3), 301–309.
Stojanovic, V., & Prsic, D. (2020). Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives. Nonlinear Dynamics, 100(3), 2299–2313.
Tang, X., Peng, F., Yan, R., Gong, Y., Li, Y., & Jiang, L. (2017). Accurate and efficient prediction of milling stability with updated full-discretization method. International Journal of Advanced Manufacturing Technology, 88(9–12), 2357–2368.
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, 485–499.
Tao, J., Qin, C., Xiao, D., Shi, H., Ling, X., Li, B., & Liu, C. (2019). Timely chatter identification for robotic drilling using a local maximum synchrosqueezing-based method. Journal of Intelligent Manufacturing, 31, 1243–1255.
Xu, B., Li, H., Zhou, F., Yan, B., Liu, Y., & Ma, Y. (2019). Fault Diagnosis of Variable Load Bearing Based on Quantum Chaotic Fruit Fly VMD and Variational RVM. Shock and Vibration, 2019, 1–20.
Zhao, X., Qin, Y., He, C., & Jia, L. (2020). Underdetermined blind source extraction of early vehicle bearing faults based on EMD and kernelized correlation maximization. Journal of Intelligent Manufacturing. https://doi.org/10.1007/s10845-020-01655-1.
Acknowledgements
This research is supported by National Natural Science Foundation of China under Grant No. 51805189, National Natural Science Foundation of China under Grant No. 51625502, and Science Fund for Creative Research Groups of the National Natural Science Foundation of China under Grant No. 51721092.
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Wang, Y., Zhang, M., Tang, X. et al. A kMap optimized VMD-SVM model for milling chatter detection with an industrial robot. J Intell Manuf 33, 1483–1502 (2022). https://doi.org/10.1007/s10845-021-01736-9
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DOI: https://doi.org/10.1007/s10845-021-01736-9