A prediction method of milling stability based on multi-step backtracking algorithm

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (1) : 102-109.

YU Fuhang1, LI Maoyue1, YAN Fugang1, LIU Xianli1, LIANG Steven2

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Abstract

In process of machining, due to weak rigidity of thin-walled parts, machining chatter is easy to occur, it has adverse effects on surface quality of workpiece and tool life, so it is very important to predict the stability of milling process. Here, a multi-step backtracking algorithm was proposed to predict the stability of milling process. A milling process was discretized into time-delay periodic equations. A multi-step backtracking method was used to approximate time-period and time-delay term in each time interval. By constructing the state transition matrix, milling stability boundary parameters were obtained according to Floquet theory. Finally, the computational accuracy and convergence rate of the algorithm were verified through simulation comparison of actual examples. Results showed that the multi-step backtracking algorithm has characteristics of fast convergence and high computation accuracy; especially, it has good application prospects in stability prediction of low-speed milling.

Key words

stability prediction / backtracking algorithm / milling machining / multi-step interpolation / Floquet theory

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YU Fuhang1, LI Maoyue1, YAN Fugang1, LIU Xianli1, LIANG Steven2. A prediction method of milling stability based on multi-step backtracking algorithm[J]. Journal of Vibration and Shock, 2021, 40(1): 102-109

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