Nonlinear Model for the Instability Detection in Centerless Grinding Process
Nonlinear Model for the Instability Detection in Centerless Grinding Process
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DOI：
10.5545/sv-jme.2012.649
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发表时间：
2012-12-01
影响因子：
1.7
通讯作者：
Herrera-Ruiz, Gilberto
中科院分区：
文献类型：
--
作者：
Billerman Robles-Ocampo, Jose;Carlos Jauregui-Correa, Juan;Herrera-Ruiz, Gilberto
提出了一种新的无心磨削非线性模型。该模型描述了过程的动态行为。该模型认为，系统的刚度取决于工件表面的凸角的存在。波瓣几何被视为一个多边形形状，它表明，该系统可以表示为一个Duffing方程。结果表明，存在一个临界波瓣数，在那里系统呈现出不稳定的行为;临界波瓣数是通过几何稳定性指数确定的。采用相图法和连续小波变换法分析了无心磨削过程中的不稳定性。结果表明，无心磨削过程的动态行为可以用一个三次刚度函数来表示，该刚度函数是由表面拓扑分析得到的。
In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system's stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing's equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.