一种由干摩擦引起的车床切削颤振.pdfVIP

第22 卷第1 期 工 程 力 学 Vol.22 No.1 2005 年 2 月 ENGINEERING MECHANICS Feb. 2005 文章编号 1000-4750(2005)01-0107-06 一种由干摩擦引起的车床切削颤振 *刘习军 王立刚 贾启芬 (天津大学机械工程学院工程力学系 天津 300072) 摘 要 建立了由刀架弹性子系统及工件弹性子系统在非线性动态切削力耦合下的多自由度颤振模型 通过数值 模拟显示了此系统存在内共振现象 此时两个子系统的振幅会相互影响显著增大 同时利用平均法求出了此系统 的1:2 内共振的近似解析解 相应求得两个子系统的一组稳态振幅曲线 通过分析解释了系统发生切削颤振的原 因及条件 为解决切削颤振问题提供了新的途径 关键词 颤振 干摩擦 内共振 动态切削力 振型 中图分类号 TG501, O323 文献标识码 A CUTTING CHATTER OF MACHINE TOOLS INDUCED BY DRY FRICTION * LIU Xi-jun , WANG Li -gang , JIA Qi-fen (Department of Mechanical Engineering, Tianjin University, Tianjin 300072, China) Abstract: A multi-degree system consisting of workpiece and cutting tool elastic subsystems is studied. A model for the system under the action of nonlinear dynamic cutting force is established. The internal resonance phenomenon is analysed using numerical methods. Results show that the amplitudes of the two subsystems influence mutually and increase sharply. The analytical solutions of 1:2 internal resonance are obtained using KBM methods, and a group of stable amplitude curves of the two subsystems are gained. The conditions of cutting chatter occurring in this vibrating system are also discussed through analysing the resonance curves. Key words: chatter; dry friction; internal resonance; dynamic cutting force ; mode shape 1 前言 及物理认识虽然比较一致 但还没有较为合理的数 学模型 摩擦型颤振机理由 K.N.Arnold (1946 年) 颤振是金属切削过程中刀具与工件之间产生