Mode-Coupled Regenerative Machine Tool Vibrations
نویسندگان
چکیده
In this paper a new 3 degree-of-freedom lumped-parameter model for machine tool vibrations is developed and analyzed. One mode is shown to be stable and decoupled from the other two, and thus the stability of the system can be determined by analyzing these two modes. It is shown that this mode-coupled nonconservative cutting tool model including the regenerative e¤ect (time delay) can produce an instability criteria that admits low-level or zero chip thickness chatter.
منابع مشابه
A Nonlinear Model of a Regenerative Vibrating Machine Tool
We study the existence of Hopf bifurcations in a model of a regenerative vibrating machine tool, by using the same methods as in the Bifurcation Theorem and in the theory of central varieties. In a paper published in 1984, H. M. Shi and S. A. Tobias [6] have studied the theory of finite amplitude machine tool instability. They considered there some experimental results and have shown that there...
متن کاملNoise-Sensitivity in Machine Tool Vibrations
We consider the effect of random variation in the material parameters in a model for machine tool vibrations, specifically regenerative chatter. We show that fluctuations in these parameters appear as both multiplicative and additive noise in the model. We focus on the effect of additive noise in amplifying small vibrations which appear in subcritical regimes. Coherence resonance is demonstrate...
متن کاملSuppressing Boring Bar Vibrations by Parametric Excitation
Machine tool chatter causes an instability that can occur in tool-workpiece-machine system. Hence surface roughness and tool wear in metal cutting processes. This instability caused by interaction between current tool positions and surface left by previous tool passes. Many methods have been developed to minimize the effects of regenerative chatter in machine tools and to enhance the damping ca...
متن کاملChaotic vibrations in a regenerative cutting process
We have analyzed vibrations generated in an orthogonal cutting process. Using a simple one degree of freedom model of the regenerative cutting we have observed the complex behaviour of the system. In presence of a shaped cutting surface, the nonlinear interaction between the tool and a workpiece leads the to chatter vibrations of periodic, quasi-periodic or chaotic type depending on system para...
متن کاملSubcritical Hopf Bifurcation in the Delay Equation Model for Machine Tool Vibrations
We show the existence of a subcritical Hopf bifurcation in the delay-differential equation model of the so-called regenerative machine tool vibration. The calculation is based on the reduction of the infinite-dimensional problem to a two-dimensional center manifold. Due to the special algebraic structure of the delayed terms in the nonlinear part of the equation, the computation results in simp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003