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

作     者：Arnab Chanda Achim Fischer Peter Eberhard Santosha Kumar Dwivedy 

作者机构：Institute of Engineering and Computational MechanicsUniversity of Stuttgart 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2014年第30卷第2期

页      面：214-222页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 080201[工学-机械制造及其自动化] 

基　　金：partially done while Arnab Chanda visited the University of Stuttgart from September 2010 to May 2011 under DAAD-IIT Sandwich Master Program funded by a DAAD M.Sc.Scholarship The doctoral research of Achim Fischer was funded since 2010 by the Baden-Wrttemberg Stiftung and the Stuttgart Cluster of Excellence Simtech 

主　　题：Machine tools Stability Chatter 

摘      要：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.