Non-linear mechanism in electrical discharge machining process |
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| Authors: | Peng Wang Bohu Li Tingyu Lin Binxiu Wang |
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| Affiliation: | 1.School of Automation Science and Electrical Engineering,BeiHang University,Beijing,People’s Republic of China;2.Beijing Complex Product Advanced Manufacturing Engineering Research Center,Beijing Simulation Center,Beijing,People’s Republic of China;3.State Key Laboratory of Intelligent Manufacturing System Technology,Beijing Institute of Electronic System Engineering,Beijing,People’s Republic of China;4.Science and Technology on Space System Simulation Laboratory,Beijing Simulation Center,Beijing,People’s Republic of China;5.Qingdao Technological University,Qingdao,People’s Republic of China |
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| Abstract: | Electrical discharge machining (EDM) is an advanced non-traditional manufacturing technology that has many advantages over other machining methods. Many papers have discussed the machining mechanism and modeling of the EDM process. However, previous mechanism models have mainly been linear, which contradicts their precondition that EDM is a stochastic process. In this paper, a non-linear mechanism model is proposed for the EDM process. A threshold condition that leads to chaos is calculated using the Melnikov theory. The theoretical results indicate that the EDM system can generate varied chaos in the evolution of electrical discharge. To verify this conclusion, validation experiments are implemented. Several sets of complete EDM processes’ real-time series are analyzed by multiple chaotic numerical criteria, including power spectrum analysis, principle component analysis (PCA), correlation dimension analysis, and Lyapunov exponent analysis. The experimental results provide further qualitative and quantitative evidence that a complete EDM process has dynamical chaotic characteristics. |
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