The Dynamic Interaction of the Cutting Process, Workpiece, and Lathe’s Structure in Facing

[+] Author and Article Information
Ming Une Jen

Machine Performance Department, Industrial Technology Research Institute, Hsinchu, Taiwan 310

E. B. Magrab

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742

J. Manuf. Sci. Eng 118(3), 348-358 (Aug 01, 1996) (11 pages) doi:10.1115/1.2831036 History: Received November 01, 1993; Revised April 01, 1996; Online January 17, 2008


The effects on the onset of chatter by the dynamic interaction of the workpiece and its method of support, the turret, the lathe bed, the cutting forces and the cutting conditions are determined. A generalized modal analysis is used to solve the four governing equations in the frequency domain. It is found that there are four dimensionless quantities that couple the equations, the most important being N0 , the ratio of the static stiffness of the workpiece to the translational stiffness of the turret. The dimensionless critical depth of cut Hc and corresponding chatter frequency coefficient Ωc 2 are determined as a function of N0 for two feed rates, several surface speeds, and for two workpiece boundary conditions; cantilevered and clamped-hinged. It is shown that the magnitudes of Hc and Ωc 2 are oscillatory as a function of N0 , and the occurrence of their peak values is proportional to the surface speed of the workpiece to the fourth power. It is found that for the parameters selected the effect of the dynamic response of the lathe bed is to increase by 7 percent the values of N0 at which the peak values of Hc occur. It is also found that the value of the equivalent viscous damping of the system and the magnitude of the real part of the cutting force coefficient govern the magnitudes of Hc and Ωc 2 as a function of N0 .

Copyright © 1996 by The American Society of Mechanical Engineers
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