切削加工中刀具颤振的迟滞反馈控制  

FEEDBACK CONTROL OF CUTTING-TOOL FLUTTERS IN MECHANICAL PROCESSES

作　　者：何国毅[1] 何国威[2] 

机构地区：[1]南昌航空工业学院成教学院,南昌330034 [2]中国科学院力学研究所非线性力学国家重点实验室,北京100080

出　　处：《力学与实践》2005年第1期25-28,共4页Mechanics in Engineering

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.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.

关 键 词：刀具 金属切削加工 非线性颤振 角度 平稳性 振幅 迟滞 力学 反馈控制 函数 

分 类 号：O175[理学—数学] TG71[理学—基础数学]