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| Study of friction chatter of mechanical system based on cell mapping algorithm |
| Received:April 24, 2009 Revised:October 23, 2009 |
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| DOI：10.7511/jslx201103020 |
| KeyWord:friction chatter cell mapping nonlinear global behavior |
| Author | Institution |
| 唐进元 |
现代复杂装备设计与极端制造教育部重点实验室中南大学,中南大学 机电工程学院,长沙 |
| 熊兴波 |
现代复杂装备设计与极端制造教育部重点实验室中南大学,中南大学 机电工程学院,长沙 |
| 陈思雨 |
现代复杂装备设计与极端制造教育部重点实验室中南大学,中南大学 机电工程学院,长沙 |
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| Abstract: |
| Based on event-driven theory, a rapid solving program for friction chatter is developed by jointly using the programming languages of C and Matlab after introducing the nonlinear Stribeck friction model. Numerical analysis is conducted to study the evolutionary process and global behavior of single-DOF friction chatter that involves nonlinear friction coefficient by using a revised cell mapping algorithm. Thus the response characteristics under arbitrary initial state and the result of numerical analysis in the domain of convergence are obtained. The result shows that the stable solution transforms to limit cycle from equilibrium point while the phenomenon of chatter and stick-slip vibration appearing in sequence with the decrease of excitation speed, and that the system invariably converges to the same stable singular point or the same limit cycle in the full phase plane. |