Stability analysis of a thin-walled cylinder in turning operation using the semi-discretization method

In this work, the stability of a flexible thin cylindrical workpiece in turning is analyzed. A process model is derived based on a finite element representation of the workpiece flexibility and a nonlinear cutting force law. Repeated cutting of the same surface due to overlapping cuts is modeled wit...

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Bibliographic Details
Published in:Acta mechanica Sinica 2014-04, Vol.30 (2), p.214-222
Main Authors: Chanda, Arnab, Fischer, Achim, Eberhard, Peter, Dwivedy, Santosha Kumar
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Cylinders
Engineering
Engineering Fluid Dynamics
Floquet理论
Mathematical analysis
Mathematical models
Research Paper
Stability
Theoretical and Applied Mechanics
Turning
Turning (machining)
Workpieces
微分方程系统
操作
时间离散系统
离散化方法
稳定性分析
薄壁筒
转动
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Summary:In this work, the stability of a flexible thin cylindrical workpiece in turning is analyzed. A process model is derived based on a finite element representation of the workpiece flexibility and a nonlinear cutting force law. Repeated cutting of the same surface due to overlapping cuts is modeled with the help of a time delay. The stability of the so obtained system of periodic delay differential equations is then determined using an approximation as a time-discrete system and Floquet theory. The time-discrete system is obtained using the semi-discretization method. The method is implemented to analyze the stability of two different workpiece models of different thicknesses for different tool positions with respect to the jaw end. It is shown that the stability chart depends on the tool position as well as on the thickness.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-013-0097-z