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力学与实践 ›› 2005, Vol. 27 ›› Issue (1): 0-0.doi: 10.6052/1000-0992-2004-071

• 应用研究 •    

切削加工中刀具颤振的迟滞反馈控制

何国毅 何国威   

  1. 南昌航空工学学院成教学院,江西,南昌 中科院力学所LNM
  • 收稿日期:2004-03-05 修回日期:1900-01-01 出版日期:2005-02-10 发布日期:2005-02-10

FEEDBACK CONTROL OF CUTTING-TOOL FLUTTERS IN MECHANICAL PROCESSES

  • Received:2004-03-05 Revised:1900-01-01 Online:2005-02-10 Published:2005-02-10

摘要: 从金属切削加工的实际情况出发,分析了刀具在切削加工中产生颤振的原因. 从力学 的角度解释了刀具径向非线性颤振的机理,说明这是一种自激振荡,可以通过施加线性迟滞 反馈力加以控制. 这种反馈力是位移信号的迟滞函数,可以用于抑制振幅,增加刀具的平稳 性. 数值仿真验证了理论结果.

关键词: 刀具,颤振,自激振荡,反馈控制

Abstract: The flutters of cutting-tools in mechanical processes are investigated in this paper. The flutters are typically self-excited oscillations and could be described by the well-known van der Pol equations. The analytical solutions of the van der Pol equations obtained by the averaging method show the mechanism of the self-oscillations. A new strategy of linear feedback is developed to control the flutters. The control strategy could be realized by a delayed linear function. The analytical solutions of the van der Pol equations with delayed linear feedback show that the flutters could be effectively reduced. Numerical simulations confirm the theoretical predictions.

Key words: cutting-tools, flutters, self-oscillation, feedback control