CHATTER DYNAMIC ANALYSIS FOR A PLANING MODEL WITH THE EFFECT OF PULSE

Shasha Zheng; Xilin Fu

doi:10.11948/2015058

2015 Volume 5 Issue 4

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Shasha Zheng, Xilin Fu. CHATTER DYNAMIC ANALYSIS FOR A PLANING MODEL WITH THE EFFECT OF PULSE[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 767-780. doi: 10.11948/2015058

Citation:

Shasha Zheng, Xilin Fu. CHATTER DYNAMIC ANALYSIS FOR A PLANING MODEL WITH THE EFFECT OF PULSE[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 767-780. doi: 10.11948/2015058

CHATTER DYNAMIC ANALYSIS FOR A PLANING MODEL WITH THE EFFECT OF PULSE

Shasha Zheng¹,
Xilin Fu²

1 School of Management Science and Engineering, Shandong Normal University, Ji'nan, 250014, China;
2 School of Mathematical Science, Shandong Normal University, Ji'nan, 250014, China

Fund Project:

Abstract

Abstract

In this paper, the phenomena of chatter vibration in a typical planing process is discussed from impulsive point of view. Considering the instantaneous vibration as an impulse, we present the planing model as a second-order impulsive dynamical system, which is a specific discontinuous one. Then we investigate its chatter conditions via the method of flow theory in discontinuous systems, analyze flow's dynamical behaviors on separation surface and get general results on chatter criterion. Finally, such dynamical analysis and criterion are applied to a specific planing model of coal plough.
- Chatter /
- planing /
- discontinuous /
- pulse
MSC: 34A37;00A06

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References

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