Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process

Qing Kai Han; Tao Yu; Zhi Wei Zhang; Bang Chun Wen

doi:10.4028/www.scientific.net/KEM.304-305.141

Paper Titles

Analysis of the Breakage of Diamond Wire Saws in Sawing of Stone
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Analysis on Surface Temperature Field of Ultra-High Speed Grinding
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Analysis and Study of the Influence Factor on the Airflow of Ultra-Speed Grinding Wheel
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Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process
p.141

Study on the Virtual Wheel and Grinding Process
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Investigations of Grinding Forces for Nanostructured WC/12Co Coatings
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A Comparison Study of Surface Hardening by Grinding Versus Machining
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Mechanism of Surface Formation for Natural Granite Grinding
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HomeKey Engineering MaterialsKey Engineering Materials Vols. 304-305Nonlinear Stability and Bifurcation of...

Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process

Abstract:

The nonlinear chatter in grinding machine system is discussed analytically in the paper. In higher speed grinding process, the self-excited chatter vibration is mostly induced by the change of grinding speed and grinding wheel shape. Here the grinding machine tool is viewed as a nonlinear multi-D.O.F. autonomous system, in which hysteretic factors of contact surfaces are also introduced. Firstly, the DOFs of the above system are reduced efficiently without changing its dynamic properties by utilizing the center manifold theorem and averaging method. Then, a low dimensional system and corresponding averaging equations are obtained. The stability and bifurcation of chatter system are discussed on the base of deduced averaging equations. It is proved that chatter occurs as a Hopf bifurcation emerging from the steady state at the origin of system. The theoretical analyses on the multi-DOF chattering system will lead to further understanding of the nonlinear mechanisms of higher speed grinding processes.

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Periodical:

Key Engineering Materials (Volumes 304-305)

Pages:

141-145

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.304-305.141

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Online since:

February 2006

Authors:

Qing Kai Han, Tao Yu, Zhi Wei Zhang, Bang Chun Wen

Keywords:

Bifurcation, Chatter, Grinding Process, Nonlinear Stability

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