切削加工中刀具颤振的迟滞反馈控制

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．

FEEDBACK CONTROL OF CUTTING-TOOL FLUTTERS IN MECHANICAL PROCESSES

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 showthat the flutters could be effectively reduced. Numerical simulations confirm the theoretical predictions.