Stability analysis for milling process by Semidiscretization method based onMagnus-Guassian truncation

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Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (5) : 69-73.

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Stability analysis for milling process by Semidiscretization method based onMagnus-Guassian truncation

Li Zhongwei Long Xinhua Meng Guang

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Abstract

In this paper, a set of delay differential equations (DDEs) are setup to describe the dynamics of milling process. An improve semi-discretization method based on Magnus-Guassian truncation is presented for analyzing the stability of periodic orbit of the DDEs. By comparing the stability charts obtained by zero-order semi-discretization method with the stability charts obtained by the improved semi-discretization method, one can say the computational efficiency, convergence, and accuracy are improved by the semi-discretization method based on Magnus-Guassian truncation.

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Delay Differential Equations / Semi-discretization Method / Magnus-Gussian Truncation Stability Charts

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Li Zhongwei Long Xinhua Meng Guang. Stability analysis for milling process by Semidiscretization method based onMagnus-Guassian truncation[J]. Journal of Vibration and Shock, 2009, 28(5): 69-73