Chaotic vibrations in high-speed milling
Chaotic vibrations in high-speed milling
复制标题
DOI：
10.1007/s11071-010-9935-8
复制
发表时间：
2011-01
影响因子：
5.6
通讯作者：
M. Banihasan;F. Bakhtiari-Nejad
中科院分区：
文献类型：
--
作者：
M. Banihasan;F. Bakhtiari-Nejad
大量的文献致力于铣削过程的稳定性和各种颤振抑制控制方法。但稳定区域以外的混沌动力学尚未得到广泛的考虑。此外，混沌运动的建模问题需要更多的挑战，准确预测其复杂的动力学行为。本文提出了一个详细的两自由度的力学基础上的铣削混沌振动的研究模型。在铣削过程中，除了考虑两个状态时滞外，还考虑了铣削过程非线性振动的主要特征-分段多重再生效应。通过同时考虑不同数量的延迟刀具位置的切削区域的多重再生效应的精确几何公式，提出了第一次。在给定的机床和工件参数下，计算了相图、分岔图、最大李雅普诺夫指数和表面轮廓。仿真结果表明，最大李雅普诺夫指数正值对应的混沌的存在，在高速铣削操作。此外，对由螺旋铣刀形成的工件的加工表面的研究表明表面上的不规则图案。
A large number of literatures are devoted to the stability of the milling process and various control methods for chatter suppression. But chaotic dynamics beyond the stable region has not been considered extensively. Moreover, modeling issues for chaotic motion need more challenge for accurate prediction of its complex dynamical behavior. This paper presents a detailed two-degree-of-freedom mechanics based model for the study of chaotic vibrations in milling. Segmental multiple regenerative effect that is the principle feature of nonlinear vibrations in milling processes besides two state dependent time delays has been considered. Exact geometrical formulation of multiple regenerative effects by considering simultaneously different numbers of delayed tool positions over the cutting zone is presented for the first time. Phase portrait, bifurcation diagram, largest Lyapunov exponent, and surface profile were calculated for a given machine tool and workpiece parameters. The simulation results show positive values of the largest Lyapunov exponent corresponding to the existence of chaos in high-speed milling operations. Also, investigation of the machined surface of the workpiece formed by the helical mill demonstrates an irregular pattern on the surface.